किसी \(AB_2\) प्रकार के विलेय के (4,g) को (200,g) जल में घोलने पर \(\Delta T_f=0.744,K\) है। यदि वियोजन (50%) है और \(K_f=1.86,K,kg,mol^{-1}\), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (4,g) of an \(AB_2\)-type solute is dissolved in (200,g) water, \(\Delta T_f=0.744,K\). If dissociation is (50%) and \(K_f=1.86,K,kg,mol^{-1}\), what is the true molar mass?
#freezing point depression
#partial dissociation
#molar mass
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A \(40,g,mol^{-1}\)
B \(50,g,mol^{-1}\)
C \(60,g,mol^{-1}\)
D \(80,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(50,g,mol^{-1}\)
Step 1
Concept
For (50%) dissociation of \(AB_2\), (i=1+2(0.5)=2).
Step 2
Why this answer is correct
From \(\Delta T_f=iK_fm\), \(m=\frac{0.744}{2\times1.86}=0.2\).
Step 3
Exam Tip
(200,g=0.2,kg), moles \(=0.2\times0.2=0.04\), so molar mass \(=\frac{4}{0.04}=100,g,mol^{-1}\). चरण 1: \(AB_2\) के (50%) वियोजन पर (i=1+2(0.5)=2)। चरण 2: \(\Delta T_f=iK_fm\), इसलिए \(m=\frac{0.744}{2\times1.86}=0.2\)। चरण 3: (200,g=0.2,kg), मोल \(0.2\times0.2=0.04\), अतः मोलर द्रव्यमान \(=\frac{4}{0.04}=100,g,mol^{-1}\)।
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किसी विलेय के (3,g) से (250,mL) विलयन बनाया गया। (300,K) पर परासरण दाब (0.738,atm) है। यदि विलेय का (i=0.75) है, तो वास्तविक मोलर द्रव्यमान क्या होगा?
A (250,mL) solution is prepared from (3,g) solute. At (300,K), osmotic pressure is (0.738,atm). If the solute has (i=0.75), what is the true molar mass?
#osmotic pressure
#association
#true molar mass
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A \(200,g,mol^{-1}\)
B \(300,g,mol^{-1}\)
C \(400,g,mol^{-1}\)
D \(500,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(400,g,mol^{-1}\)
Step 1
Concept
From \(\pi=iCRT\), \(C=\frac{0.738}{0.75\times0.082\times300}=0.04,M\).
Step 2
Why this answer is correct
(250,mL=0.25,L), so moles \(=0.04\times0.25=0.01\).
Step 3
Exam Tip
Molar mass \(=\frac{3}{0.01}=300,g,mol^{-1}\). चरण 1: \(\pi=iCRT\), इसलिए \(C=\frac{0.738}{0.75\times0.082\times300}=0.04,M\)। चरण 2: (250,mL=0.25,L), अतः मोल \(0.04\times0.25=0.01\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{3}{0.01}=300,g,mol^{-1}\)।
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वाष्प दाब विधि में विलेय का मोल अंश (0.05) मिला। (2,g) विलेय (18,g) जल में घोला गया था। विलेय का मोलर द्रव्यमान लगभग कितना होगा?
In the vapour pressure method, the mole fraction of solute is found to be (0.05). (2,g) solute was dissolved in (18,g) water. What is the approximate molar mass of the solute?
#vapour pressure method
#mole fraction
#molar mass
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A \(38,g,mol^{-1}\)
B \(40,g,mol^{-1}\)
C \(42,g,mol^{-1}\)
D \(50,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
A. \(38,g,mol^{-1}\)
Step 1
Concept
Moles of water \(=\frac{18}{18}=1\).
Step 2
Why this answer is correct
\(0.05=\frac{n_2}{1+n_2}\), so \(n_2=\frac{0.05}{0.95}=0.0526\) mol.
Step 3
Exam Tip
Molar mass \(=\frac{2}{0.0526}\approx38,g,mol^{-1}\). चरण 1: जल के मोल \(\frac{18}{18}=1\) हैं। चरण 2: \(0.05=\frac{n_2}{1+n_2}\), इसलिए \(n_2=\frac{0.05}{0.95}=0.0526\) मोल। चरण 3: मोलर द्रव्यमान \(=\frac{2}{0.0526}\approx38,g,mol^{-1}\)।
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\(MgCl_2\) का वास्तविक मोलर द्रव्यमान \(95,g,mol^{-1}\) है। यदि अणुसंख्य विधि से प्रेक्षित मोलर द्रव्यमान \(47.5,g,mol^{-1}\) मिले, तो वियोजन की मात्रा कितनी होगी?
The true molar mass of \(MgCl_2\) is \(95,g,mol^{-1}\). If the observed molar mass from a colligative method is \(47.5,g,mol^{-1}\), what is the degree of dissociation?
#magnesium chloride
#degree of dissociation
#observed molar mass
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A (25%)
B (50%)
C (75%)
D (100%)
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Step 1
Concept
\(i=\frac{95}{47.5}=2\).
Step 2
Why this answer is correct
\(MgCl_2\) gives (3) particles on complete dissociation, so \(i=1+2\alpha\).
Step 3
Exam Tip
\(2=1+2\alpha\), so \(\alpha=0.5\), or (50%). चरण 1: \(i=\frac{95}{47.5}=2\)। चरण 2: \(MgCl_2\) पूर्ण वियोजन पर (3) कण देता है, इसलिए \(i=1+2\alpha\)। चरण 3: \(2=1+2\alpha\), अतः \(\alpha=0.5\), यानी (50%)।
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एक विलेय द्विमर बनाता है। वास्तविक मोलर द्रव्यमान \(120,g,mol^{-1}\) है और प्रेक्षित मोलर द्रव्यमान \(150,g,mol^{-1}\) है। संघटन की मात्रा कितनी होगी?
A solute forms dimers. Its true molar mass is \(120,g,mol^{-1}\) and observed molar mass is \(150,g,mol^{-1}\). What is the degree of association?
#dimer
#association
#abnormal molar mass
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A (20%)
B (30%)
C (40%)
D (50%)
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Step 1
Concept
\(i=\frac{120}{150}=0.8\).
Step 2
Why this answer is correct
For dimer formation, \(i=1-\frac{\alpha}{2}\).
Step 3
Exam Tip
\(0.8=1-\frac{\alpha}{2}\), so \(\alpha=0.4\), meaning (40%). चरण 1: \(i=\frac{120}{150}=0.8\)। चरण 2: द्विमर बनने पर \(i=1-\frac{\alpha}{2}\) होता है। चरण 3: \(0.8=1-\frac{\alpha}{2}\), इसलिए \(\alpha=0.4\), अर्थात (40%)।
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एक \(AB_3\) प्रकार का विलेय (40%) वियोजित है। यदि प्रेक्षित मोलर द्रव्यमान \(62.5,g,mol^{-1}\) है, तो वास्तविक मोलर द्रव्यमान क्या होगा?
An \(AB_3\)-type solute is (40%) dissociated. If the observed molar mass is \(62.5,g,mol^{-1}\), what is the true molar mass?
#AB3 electrolyte
#true molar mass
#partial dissociation
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A \(100,g,mol^{-1}\)
B \(125,g,mol^{-1}\)
C \(137.5,g,mol^{-1}\)
D \(150,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(137.5,g,mol^{-1}\)
Step 1
Concept
For \(AB_3\), \(i=1+3\alpha\).
Step 2
Why this answer is correct
With \(\alpha=0.40\), (i=1+1.2=2.2).
Step 3
Exam Tip
True molar mass \(=2.2\times62.5=137.5,g,mol^{-1}\). चरण 1: \(AB_3\) के लिए \(i=1+3\alpha\)। चरण 2: \(\alpha=0.40\), इसलिए (i=1+1.2=2.2)। चरण 3: वास्तविक मोलर द्रव्यमान \(=2.2\times62.5=137.5,g,mol^{-1}\)।
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किसी (0.04,M) विलयन का (300,K) पर परासरण दाब (1.476,atm) है। यदि वास्तविक मोलर द्रव्यमान \(150,g,mol^{-1}\) है, तो प्रेक्षित मोलर द्रव्यमान कितना होगा?
A (0.04,M) solution has osmotic pressure (1.476,atm) at (300,K). If the true molar mass is \(150,g,mol^{-1}\), what will be the observed molar mass?
#osmotic pressure
#observed molar mass
#van't Hoff factor
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A \(75,g,mol^{-1}\)
B \(90,g,mol^{-1}\)
C \(100,g,mol^{-1}\)
D \(120,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(100,g,mol^{-1}\)
Step 1
Concept
From \(\pi=iCRT\), \(i=\frac{1.476}{0.04\times0.082\times300}=1.5\).
Step 2
Why this answer is correct
\(Observed molar mass (=\frac{\)true molar mass}{i}).
Step 3
Exam Tip
\(\frac{150}{1.5}=100,g,mol^{-1}\). चरण 1: \(\pi=iCRT\), इसलिए \(i=\frac{1.476}{0.04\times0.082\times300}=1.5\)। \(चरण 2: प्रेक्षित मोलर द्रव्यमान (=\frac{\)वास्तविक मोलर द्रव्यमान}{i})। \(चरण 3: (\frac{150}{1.5}=100,g,mol^{-1})\)।
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एक छात्र ने (125,g) विलायक को (0.125,g) मान लिया। हिमांक विधि से निकला मोलर द्रव्यमान सही मान की तुलना में कैसा होगा?
A student mistakenly takes (125,g) solvent as (0.125,g). In the freezing point method, how will the calculated molar mass compare with the correct value?
#unit error
#freezing point method
#molar mass
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A (1000) गुना अधिक / (1000) times larger
B (1000) गुना कम / (1000) times smaller
C बराबर / Equal
D (125) गुना कम / (125) times smaller
Explanation opens after your attempt
Correct Answer
A. (1000) गुना अधिक / (1000) times larger
Step 1
Concept
Correctly (125,g=0.125,kg), but (0.125,g=0.000125,kg) was used.
Step 2
Why this answer is correct
Taking solvent mass (1000) times smaller gives moles (1000) times smaller.
Step 3
Exam Tip
Since molar mass is mass divided by moles, it becomes (1000) times larger. चरण 1: (125,g=0.125,kg) सही मान है, लेकिन (0.125,g=0.000125,kg) लिया गया। चरण 2: विलायक का किलोग्राम द्रव्यमान (1000) गुना कम मानने से मोल (1000) गुना कम निकलेंगे। चरण 3: मोलर द्रव्यमान द्रव्यमान को मोल से भाग देने पर मिलता है, इसलिए वह (1000) गुना अधिक निकलेगा।
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किसी विलेय के (2.5,g) को (500,g) जल में घोलने पर \(\Delta T_f=0.2325,K\) है। यदि (i=1.25), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (2.5,g) solute is dissolved in (500,g) water, \(\Delta T_f=0.2325,K\). If (i=1.25), what is the true molar mass?
#freezing point depression
#i correction
#true molar mass
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A \(40,g,mol^{-1}\)
B \(50,g,mol^{-1}\)
C \(60,g,mol^{-1}\)
D \(80,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(50,g,mol^{-1}\)
Step 1
Concept
Effective molality \(=\frac{0.2325}{1.86}=0.125\).
Step 2
Why this answer is correct
True molality \(=\frac{0.125}{1.25}=0.1\).
Step 3
Exam Tip
(500,g=0.5,kg), moles \(=0.1\times0.5=0.05\), so molar mass \(=\frac{2.5}{0.05}=50,g,mol^{-1}\). चरण 1: प्रभावी मोललता \(\frac{0.2325}{1.86}=0.125\) है। चरण 2: वास्तविक मोललता \(\frac{0.125}{1.25}=0.1\) होगी। चरण 3: (500,g=0.5,kg), मोल \(0.1\times0.5=0.05\), अतः मोलर द्रव्यमान \(=\frac{2.5}{0.05}=50,g,mol^{-1}\)।
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किसी विलेय के (4.8,g) को (400,g) विलायक में घोलने पर \(\Delta T_b=0.156,K\) है। यदि \(K_b=0.52,K,kg,mol^{-1}\) और (i=0.75), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (4.8,g) solute is dissolved in (400,g) solvent, \(\Delta T_b=0.156,K\). If \(K_b=0.52,K,kg,mol^{-1}\) and (i=0.75), what is the true molar mass?
#boiling point elevation
#association
#true molar mass
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A \(40,g,mol^{-1}\)
B \(48,g,mol^{-1}\)
C \(60,g,mol^{-1}\)
D \(80,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(60,g,mol^{-1}\)
Step 1
Concept
From \(\Delta T_b=iK_bm\), \(m=\frac{0.156}{0.75\times0.52}=0.4\).
Step 2
Why this answer is correct
(400,g=0.4,kg), so moles \(=0.4\times0.4=0.16\).
Step 3
Exam Tip
Molar mass \(=\frac{4.8}{0.16}=30,g,mol^{-1}\). चरण 1: \(\Delta T_b=iK_bm\), इसलिए \(m=\frac{0.156}{0.75\times0.52}=0.4\)। चरण 2: (400,g=0.4,kg), इसलिए मोल \(0.4\times0.4=0.16\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{4.8}{0.16}=30,g,mol^{-1}\)।
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किसी विलयन की वास्तविक मोलरता (0.03,M) है और (i=1.8) है। यदि विलेय का वास्तविक मोलर द्रव्यमान \(180,g,mol^{-1}\) है, तो अणुसंख्य विधि से प्रेक्षित मोलर द्रव्यमान कितना होगा?
A solution has actual molarity (0.03,M) and (i=1.8). If the true molar mass of solute is \(180,g,mol^{-1}\), what observed molar mass will be obtained by a colligative method?
#observed molar mass
#van't Hoff factor
#conceptual numerical
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A \(60,g,mol^{-1}\)
B \(90,g,mol^{-1}\)
C \(100,g,mol^{-1}\)
D \(120,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(100,g,mol^{-1}\)
Step 1
Concept
For observed molar mass, the correction depends mainly on (i), not separately on concentration here.
Step 2
Why this answer is correct
\((M_{\)obs\(}=\frac{M_{\)true}}{i}).
Step 3
Exam Tip
\(\frac{180}{1.8}=100,g,mol^{-1}\). चरण 1: प्रेक्षित मोलर द्रव्यमान पर सांद्रता का अलग से असर नहीं, (i) का असर मुख्य है। \(चरण 2: (M_{\)obs\(}=\frac{M_{\)true}}{i})। \(चरण 3: (\frac{180}{1.8}=100,g,mol^{-1})\)।
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किसी पदार्थ का (60%) द्विमरीकरण होता है। यदि प्रेक्षित मोलर द्रव्यमान \(200,g,mol^{-1}\) है, तो वास्तविक मोलर द्रव्यमान क्या होगा?
A substance undergoes (60%) dimerization. If its observed molar mass is \(200,g,mol^{-1}\), what is the true molar mass?
#dimerization
#true molar mass
#association
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A \(100,g,mol^{-1}\)
B \(120,g,mol^{-1}\)
C \(140,g,mol^{-1}\)
D \(160,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(140,g,mol^{-1}\)
Step 1
Concept
For dimerization, \(i=1-\frac{\alpha}{2}=1-\frac{0.6}{2}=0.7\).
Step 2
Why this answer is correct
True molar mass \(=i\times\) observed molar mass.
Step 3
Exam Tip
\(0.7\times200=140,g,mol^{-1}\). चरण 1: द्विमरीकरण के लिए \(i=1-\frac{\alpha}{2}=1-\frac{0.6}{2}=0.7\)। चरण 2: वास्तविक मोलर द्रव्यमान \(=i\times\) प्रेक्षित मोलर द्रव्यमान। चरण 3: \(0.7\times200=140,g,mol^{-1}\)।
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एक पदार्थ (45%) त्रिमर बनाता है। यदि वास्तविक मोलर द्रव्यमान \(210,g,mol^{-1}\) है, तो प्रेक्षित मोलर द्रव्यमान लगभग कितना होगा?
A substance forms trimers to the extent of (45%). If its true molar mass is \(210,g,mol^{-1}\), what will be the approximate observed molar mass?
#trimer association
#observed molar mass
#expert
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A \(250,g,mol^{-1}\)
B \(280,g,mol^{-1}\)
C \(300,g,mol^{-1}\)
D \(350,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(300,g,mol^{-1}\)
Step 1
Concept
For trimer association, \(i=1-\frac{2\alpha}{3}\).
Step 2
Why this answer is correct
With \(\alpha=0.45\), \(i=1-\frac{0.90}{3}=0.70\).
Step 3
Exam Tip
Observed molar mass \(=\frac{210}{0.70}=300,g,mol^{-1}\). चरण 1: त्रिमर संघटन के लिए \(i=1-\frac{2\alpha}{3}\)। चरण 2: \(\alpha=0.45\), इसलिए \(i=1-\frac{0.90}{3}=0.70\)। चरण 3: प्रेक्षित मोलर द्रव्यमान \(=\frac{210}{0.70}=300,g,mol^{-1}\)।
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एक (AB) प्रकार का विलेय (60%) वियोजित है। यदि प्रेक्षित मोलर द्रव्यमान \(75,g,mol^{-1}\) है, तो वास्तविक मोलर द्रव्यमान कितना होगा?
An (AB)-type solute is (60%) dissociated. If its observed molar mass is \(75,g,mol^{-1}\), what is the true molar mass?
#AB electrolyte
#true molar mass
#partial dissociation
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A \(90,g,mol^{-1}\)
B \(105,g,mol^{-1}\)
C \(120,g,mol^{-1}\)
D \(150,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(120,g,mol^{-1}\)
Step 1
Concept
For (AB), \(i=1+\alpha=1+0.6=1.6\).
Step 2
Why this answer is correct
\(True molar mass (=i\times M_{\)obs}).
Step 3
Exam Tip
\(1.6\times75=120,g,mol^{-1}\). चरण 1: (AB) के लिए \(i=1+\alpha=1+0.6=1.6\)। \(चरण 2: वास्तविक मोलर द्रव्यमान (=i\times M_{\)obs})। \(चरण 3: (1.6\times75=120,g,mol^{-1})\)।
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किसी \(A_2B\) प्रकार के विलेय का प्रेक्षित मोलर द्रव्यमान वास्तविक का \(\frac{1}{2.4}\) है। वियोजन की मात्रा कितनी होगी?
The observed molar mass of an \(A_2B\)-type solute is \(\frac{1}{2.4}\) of the true value. What is the degree of dissociation?
#A2B electrolyte
#degree of dissociation
#observed molar mass
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A (50%)
B (60%)
C (70%)
D (80%)
Explanation opens after your attempt
Step 1
Concept
\(Since (M_{\)obs\(}=\frac{M_{\)true\(}}{2.4}), (i=2.4).\)
Step 2
Why this answer is correct
\(A_2B\) gives (3) particles on complete dissociation, so \(i=1+2\alpha\).
Step 3
Exam Tip
\((2.4=1+2\alpha), so (\alpha=0.7), or (70%). चरण 1: (M_{\)obs\(}=\frac{M_{\)true}}{2.4}), इसलिए (i=2.4)। चरण 2: \(A_2B\) पूर्ण वियोजन पर (3) कण देता है, अतः \(i=1+2\alpha\)। \(चरण 3: (2.4=1+2\alpha), इसलिए (\alpha=0.7), यानी (70%)\)।
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अवाष्पशील विलेय के (3,g) को (72,g) जल में घोला गया। वाष्प दाब में आपेक्षिक कमी (0.04) है। विलेय का मोलर द्रव्यमान लगभग कितना होगा?
(3,g) of a non-volatile solute is dissolved in (72,g) water. The relative lowering of vapour pressure is (0.04). What is the approximate molar mass of the solute?
#relative lowering vapour pressure
#mole fraction
#molar mass
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A \(18,g,mol^{-1}\)
B \(20,g,mol^{-1}\)
C \(36,g,mol^{-1}\)
D \(48,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
A. \(18,g,mol^{-1}\)
Step 1
Concept
Moles of water \(=\frac{72}{18}=4\), and \(x_2=0.04\).
Step 2
Why this answer is correct
\(0.04=\frac{n_2}{4+n_2}\), so \(n_2=\frac{0.16}{0.96}=0.1667\) mol.
Step 3
Exam Tip
Molar mass \(=\frac{3}{0.1667}\approx18,g,mol^{-1}\). चरण 1: जल के मोल \(\frac{72}{18}=4\) और \(x_2=0.04\) है। चरण 2: \(0.04=\frac{n_2}{4+n_2}\), इसलिए \(n_2=\frac{0.16}{0.96}=0.1667\) मोल। चरण 3: मोलर द्रव्यमान \(=\frac{3}{0.1667}\approx18,g,mol^{-1}\)।
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एक (AB) विलेय के (3.6,g) को (300,g) जल में घोलने पर \(\Delta T_f=0.558,K\) है। यदि वियोजन (25%) है, तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (3.6,g) of an (AB) solute is dissolved in (300,g) water, \(\Delta T_f=0.558,K\). If dissociation is (25%), what is the true molar mass?
#freezing point depression
#partial dissociation
#true molar mass
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A \(40,g,mol^{-1}\)
B \(50,g,mol^{-1}\)
C \(60,g,mol^{-1}\)
D \(80,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(50,g,mol^{-1}\)
Step 1
Concept
For (25%) dissociation of (AB), (i=1.25).
Step 2
Why this answer is correct
True molality \(m=\frac{0.558}{1.25\times1.86}=0.24\).
Step 3
Exam Tip
(300,g=0.3,kg), moles \(=0.24\times0.3=0.072\), so molar mass \(=\frac{3.6}{0.072}=50,g,mol^{-1}\). चरण 1: (AB) के (25%) वियोजन पर (i=1.25)। चरण 2: वास्तविक मोललता \(m=\frac{0.558}{1.25\times1.86}=0.24\)। चरण 3: (300,g=0.3,kg), मोल \(0.24\times0.3=0.072\), इसलिए मोलर द्रव्यमान \(=\frac{3.6}{0.072}=50,g,mol^{-1}\)।
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किसी विलेय के (2,g) से (500,mL) विलयन बनाया गया। (300,K) पर \(\pi=0.615,atm\) है। यदि (i=1.25), तो वास्तविक मोलर द्रव्यमान कितना होगा?
A (500,mL) solution is prepared from (2,g) solute. At (300,K), \(\pi=0.615,atm\). If (i=1.25), what is the true molar mass?
#osmotic pressure
#i correction
#true molar mass
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A \(120,g,mol^{-1}\)
B \(160,g,mol^{-1}\)
C \(200,g,mol^{-1}\)
D \(250,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(160,g,mol^{-1}\)
Step 1
Concept
\(C=\frac{0.615}{1.25\times0.082\times300}=0.02,M\).
Step 2
Why this answer is correct
(500,mL=0.5,L), so moles \(=0.02\times0.5=0.01\).
Step 3
Exam Tip
Molar mass \(=\frac{2}{0.01}=200,g,mol^{-1}\). चरण 1: \(C=\frac{0.615}{1.25\times0.082\times300}=0.02,M\)। चरण 2: (500,mL=0.5,L), इसलिए मोल \(0.02\times0.5=0.01\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{2}{0.01}=200,g,mol^{-1}\)।
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यदि किसी विलेय का प्रेक्षित मोलर द्रव्यमान वास्तविक का (0.4) गुना है, तो (i) और संभावित व्यवहार क्या होगा?
If the observed molar mass of a solute is (0.4) times the true value, what are (i) and the probable behaviour?
#observed molar mass
#ratio
#dissociation
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A (i=0.4), संघटन / (i=0.4), association
B (i=1.4), वियोजन / (i=1.4), dissociation
C (i=2.5), वियोजन / (i=2.5), dissociation
D (i=2.5), संघटन / (i=2.5), association
Explanation opens after your attempt
Correct Answer
C. (i=2.5), वियोजन / (i=2.5), dissociation
Step 1
Concept
\((M_{\)obs\(}=0.4M_{\)true}).
Step 2
Why this answer is correct
\((i=\frac{M_{\)true\(}}{M_{\)obs\(}}=\frac{1}{0.4}=2.5).\)
Step 3
Exam Tip
\((i>1) shows dissociation into more particles. चरण 1: (M_{\)obs\(}=0.4M_{\)true})। \(चरण 2: (i=\frac{M_{\)true\(}}{M_{\)obs}}=\frac{1}{0.4}=2.5)। \(चरण 3: (i>1) बताता है कि विलेय वियोजित होकर अधिक कण बना रहा है\)।
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यदि किसी विलेय का प्रेक्षित मोलर द्रव्यमान वास्तविक का (1.6) गुना है, तो (i) और संभावित व्यवहार क्या होगा?
If the observed molar mass of a solute is (1.6) times the true value, what are (i) and the probable behaviour?
#association
#observed molar mass
#ratio
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A (i=0.625), संघटन / (i=0.625), association
B (i=1.6), वियोजन / (i=1.6), dissociation
C (i=0.8), वियोजन / (i=0.8), dissociation
D (i=2.6), संघटन / (i=2.6), association
Explanation opens after your attempt
Correct Answer
A. (i=0.625), संघटन / (i=0.625), association
Step 1
Concept
\((M_{\)obs\(}=1.6M_{\)true}).
Step 2
Why this answer is correct
\(i=\frac{1}{1.6}=0.625\).
Step 3
Exam Tip
\((i<1) means fewer independent particles, so association is likely. चरण 1: (M_{\)obs\(}=1.6M_{\)true})। चरण 2: \(i=\frac{1}{1.6}=0.625\)। \(चरण 3: (i<1) होने का अर्थ है स्वतंत्र कण कम हुए, इसलिए संघटन की संभावना है\)।
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किसी विलेय के (2.4,g) को (200,g) विलायक में घोलने पर \(\Delta T_b=0.156,K\) है। यदि \(K_b=0.52,K,kg,mol^{-1}\) और (i=1.5), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (2.4,g) solute is dissolved in (200,g) solvent, \(\Delta T_b=0.156,K\). If \(K_b=0.52,K,kg,mol^{-1}\) and (i=1.5), what is the true molar mass?
#boiling point elevation
#electrolyte
#true molar mass
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A \(40,g,mol^{-1}\)
B \(50,g,mol^{-1}\)
C \(60,g,mol^{-1}\)
D \(80,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(60,g,mol^{-1}\)
Step 1
Concept
\(m=\frac{0.156}{1.5\times0.52}=0.2\).
Step 2
Why this answer is correct
(200,g=0.2,kg), so moles \(=0.2\times0.2=0.04\).
Step 3
Exam Tip
Molar mass \(=\frac{2.4}{0.04}=60,g,mol^{-1}\). चरण 1: \(m=\frac{0.156}{1.5\times0.52}=0.2\)। चरण 2: (200,g=0.2,kg), इसलिए मोल \(0.2\times0.2=0.04\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{2.4}{0.04}=60,g,mol^{-1}\)।
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किसी विलेय के (1.8,g) को (150,g) जल में घोलने पर \(\Delta T_f=0.279,K\) है। यदि (i=0.75), तो वास्तविक मोलर द्रव्यमान कितना होगा?
When (1.8,g) solute is dissolved in (150,g) water, \(\Delta T_f=0.279,K\). If (i=0.75), what is the true molar mass?
#association
#freezing point depression
#true molar mass
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A \(45,g,mol^{-1}\)
B \(60,g,mol^{-1}\)
C \(75,g,mol^{-1}\)
D \(90,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(60,g,mol^{-1}\)
Step 1
Concept
Effective molality \(=\frac{0.279}{1.86}=0.15\).
Step 2
Why this answer is correct
True molality \(=\frac{0.15}{0.75}=0.2\).
Step 3
Exam Tip
(150,g=0.15,kg), moles \(=0.2\times0.15=0.03\), so molar mass \(=\frac{1.8}{0.03}=60,g,mol^{-1}\). चरण 1: प्रभावी मोललता \(\frac{0.279}{1.86}=0.15\) है। चरण 2: वास्तविक मोललता \(\frac{0.15}{0.75}=0.2\) होगी। चरण 3: (150,g=0.15,kg), मोल \(0.2\times0.15=0.03\), इसलिए मोलर द्रव्यमान \(=\frac{1.8}{0.03}=60,g,mol^{-1}\)।
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किसी \(A_2B_3\) प्रकार के विलेय का (i=3.4) है। पूर्ण वियोजन पर (5) कण बनते हैं। वियोजन की मात्रा कितनी होगी?
An \(A_2B_3\)-type solute has (i=3.4). Complete dissociation gives (5) particles. What is the degree of dissociation?
#A2B3 electrolyte
#degree of dissociation
#van't Hoff factor
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A (50%)
B (60%)
C (70%)
D (80%)
Explanation opens after your attempt
Step 1
Concept
\(A_2B_3\) gives (5) particles on complete dissociation.
Step 2
Why this answer is correct
(i=1+\alpha(5-1)=1+4\alpha).
Step 3
Exam Tip
\(3.4=1+4\alpha\), so \(\alpha=0.6\), meaning (60%). चरण 1: \(A_2B_3\) पूर्ण वियोजन पर (5) कण देता है। चरण 2: (i=1+\alpha(5-1)=1+4\alpha)। चरण 3: \(3.4=1+4\alpha\), इसलिए \(\alpha=0.6\), अर्थात (60%)।
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\(FeCl_3\) का (60%) वियोजन है। यदि प्रेक्षित मोलर द्रव्यमान \(81.25,g,mol^{-1}\) है, तो वास्तविक मोलर द्रव्यमान कितना होगा?
\(FeCl_3\) is (60%) dissociated. If its observed molar mass is \(81.25,g,mol^{-1}\), what is the true molar mass?
#ferric chloride
#true molar mass
#partial dissociation
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A \(130,g,mol^{-1}\)
B \(162.5,g,mol^{-1}\)
C \(195,g,mol^{-1}\)
D \(243.75,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(195,g,mol^{-1}\)
Step 1
Concept
\(FeCl_3\) gives (4) particles on complete dissociation, so \(i=1+3\alpha\).
Step 2
Why this answer is correct
With \(\alpha=0.60\), (i=1+1.8=2.8).
Step 3
Exam Tip
True molar mass \(=2.8\times81.25=227.5,g,mol^{-1}\). चरण 1: \(FeCl_3\) पूर्ण वियोजन पर (4) कण देता है, इसलिए \(i=1+3\alpha\)। चरण 2: \(\alpha=0.60\), अतः (i=1+1.8=2.8)। चरण 3: वास्तविक मोलर द्रव्यमान \(=2.8\times81.25=227.5,g,mol^{-1}\)।
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वाष्प दाब विधि में \(p^0=120,mm\) और (p=114,mm) है। (3,g) विलेय (54,g) जल में घुला है। विलेय का मोलर द्रव्यमान लगभग कितना होगा?
In vapour pressure method, \(p^0=120,mm\) and (p=114,mm). (3,g) solute is dissolved in (54,g) water. What is the approximate molar mass of solute?
#vapour pressure lowering
#Raoult law
#molar mass
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A \(18,g,mol^{-1}\)
B \(19,g,mol^{-1}\)
C \(20,g,mol^{-1}\)
D \(24,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(19,g,mol^{-1}\)
Step 1
Concept
Relative lowering \(=\frac{120-114}{120}=0.05\), so \(x_2=0.05\).
Step 2
Why this answer is correct
Moles of water \(=\frac{54}{18}=3\), so \(0.05=\frac{n_2}{3+n_2}\) gives \(n_2=0.1579\).
Step 3
Exam Tip
Molar mass \(=\frac{3}{0.1579}\approx19,g,mol^{-1}\). चरण 1: आपेक्षिक कमी \(\frac{120-114}{120}=0.05\), इसलिए \(x_2=0.05\)। चरण 2: जल के मोल \(\frac{54}{18}=3\), अतः \(0.05=\frac{n_2}{3+n_2}\) से \(n_2=0.1579\)। चरण 3: मोलर द्रव्यमान \(=\frac{3}{0.1579}\approx19,g,mol^{-1}\)।
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एक विलेय का प्रेक्षित मोलर द्रव्यमान \(72,g,mol^{-1}\) है। यदि वह \(A_2B\) प्रकार का है और (40%) वियोजित है, तो वास्तविक मोलर द्रव्यमान क्या होगा?
A solute has observed molar mass \(72,g,mol^{-1}\). If it is of \(A_2B\)-type and (40%) dissociated, what is the true molar mass?
#A2B electrolyte
#true molar mass
#partial dissociation
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A \(100.8,g,mol^{-1}\)
B \(115.2,g,mol^{-1}\)
C \(129.6,g,mol^{-1}\)
D \(144,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(129.6,g,mol^{-1}\)
Step 1
Concept
For \(A_2B\), \(i=1+2\alpha\).
Step 2
Why this answer is correct
With \(\alpha=0.40\), (i=1+0.8=1.8).
Step 3
Exam Tip
True molar mass \(=1.8\times72=129.6,g,mol^{-1}\). चरण 1: \(A_2B\) के लिए \(i=1+2\alpha\)। चरण 2: \(\alpha=0.40\), इसलिए (i=1+0.8=1.8)। चरण 3: वास्तविक मोलर द्रव्यमान \(=1.8\times72=129.6,g,mol^{-1}\)।
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यदि किसी विलेय का वास्तविक मोलर द्रव्यमान \(180,g,mol^{-1}\) है और (30%) द्विमरीकरण होता है, तो प्रेक्षित मोलर द्रव्यमान लगभग कितना होगा?
If the true molar mass of a solute is \(180,g,mol^{-1}\) and (30%) dimerization occurs, what will be the approximate observed molar mass?
#dimerization
#observed molar mass
#association
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A \(180,g,mol^{-1}\)
B \(200,g,mol^{-1}\)
C \(211.8,g,mol^{-1}\)
D \(240,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(211.8,g,mol^{-1}\)
Step 1
Concept
For dimerization, \(i=1-\frac{\alpha}{2}\).
Step 2
Why this answer is correct
With \(\alpha=0.30\), (i=0.85).
Step 3
Exam Tip
Observed molar mass \(=\frac{180}{0.85}\approx211.8,g,mol^{-1}\). चरण 1: द्विमरीकरण के लिए \(i=1-\frac{\alpha}{2}\)। चरण 2: \(\alpha=0.30\), इसलिए (i=0.85)। चरण 3: प्रेक्षित मोलर द्रव्यमान \(=\frac{180}{0.85}\approx211.8,g,mol^{-1}\)।
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एक विलयन में (2.4,g) विलेय (400,mL) में है। (300,K) पर परासरण दाब (0.492,atm) है। यदि (i=0.8), तो वास्तविक मोलर द्रव्यमान क्या होगा?
A solution contains (2.4,g) solute in (400,mL). Its osmotic pressure at (300,K) is (0.492,atm). If (i=0.8), what is the true molar mass?
#osmotic pressure
#association
#true molar mass
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A \(200,g,mol^{-1}\)
B \(240,g,mol^{-1}\)
C \(300,g,mol^{-1}\)
D \(360,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(240,g,mol^{-1}\)
Step 1
Concept
\(C=\frac{0.492}{0.8\times0.082\times300}=0.025,M\).
Step 2
Why this answer is correct
(400,mL=0.4,L), so moles \(=0.025\times0.4=0.01\).
Step 3
Exam Tip
Molar mass \(=\frac{2.4}{0.01}=240,g,mol^{-1}\). चरण 1: \(C=\frac{0.492}{0.8\times0.082\times300}=0.025,M\)। चरण 2: (400,mL=0.4,L), इसलिए मोल \(0.025\times0.4=0.01\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{2.4}{0.01}=240,g,mol^{-1}\)।
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किसी विलेय के (3,g) को (250,g) जल में घोलने पर \(\Delta T_f=0.465,K\) है। यदि (i=1.5), तो वास्तविक मोलर द्रव्यमान कितना होगा?
When (3,g) solute is dissolved in (250,g) water, \(\Delta T_f=0.465,K\). If (i=1.5), what is the true molar mass?
#freezing point depression
#i factor
#molar mass
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A \(60,g,mol^{-1}\)
B \(72,g,mol^{-1}\)
C \(80,g,mol^{-1}\)
D \(90,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(72,g,mol^{-1}\)
Step 1
Concept
Effective molality \(=\frac{0.465}{1.86}=0.25\).
Step 2
Why this answer is correct
True molality \(=\frac{0.25}{1.5}=0.1667\).
Step 3
Exam Tip
(250,g=0.25,kg), moles \(=0.1667\times0.25=0.0417\), so molar mass \(=\frac{3}{0.0417}\approx72,g,mol^{-1}\). चरण 1: प्रभावी मोललता \(\frac{0.465}{1.86}=0.25\) है। चरण 2: वास्तविक मोललता \(\frac{0.25}{1.5}=0.1667\) होगी। चरण 3: (250,g=0.25,kg), मोल \(0.1667\times0.25=0.0417\), अतः मोलर द्रव्यमान \(\frac{3}{0.0417}\approx72,g,mol^{-1}\)।
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किसी विलेय के (5,g) को (500,g) विलायक में घोलने पर \(\Delta T_b=0.078,K\) है। \(K_b=0.52,K,kg,mol^{-1}\) और (i=1.5) हो तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (5,g) solute is dissolved in (500,g) solvent, \(\Delta T_b=0.078,K\). If \(K_b=0.52,K,kg,mol^{-1}\) and (i=1.5), what is the true molar mass?
#boiling point elevation
#van't Hoff factor
#true molar mass
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A \(100,g,mol^{-1}\)
B \(125,g,mol^{-1}\)
C \(150,g,mol^{-1}\)
D \(200,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
A. \(100,g,mol^{-1}\)
Step 1
Concept
True molality \(m=\frac{0.078}{1.5\times0.52}=0.1\).
Step 2
Why this answer is correct
(500,g=0.5,kg), so moles \(=0.1\times0.5=0.05\).
Step 3
Exam Tip
Molar mass \(=\frac{5}{0.05}=100,g,mol^{-1}\). चरण 1: वास्तविक मोललता \(m=\frac{0.078}{1.5\times0.52}=0.1\) है। चरण 2: (500,g=0.5,kg), इसलिए मोल \(0.1\times0.5=0.05\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{5}{0.05}=100,g,mol^{-1}\)।
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यदि (0.3,m) विलयन में (i=0.6) है, तो अणुसंख्य गुण से बिना (i) सुधार के मोललता कैसी दिखाई देगी?
If a (0.3,m) solution has (i=0.6), what molality will appear from a colligative property without (i) correction?
#effective molality
#association
#molar mass error
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A (0.18,m)
B (0.30,m)
C (0.50,m)
D (0.90,m)
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Correct Answer
A. (0.18,m)
Step 1
Concept
Colligative effect depends on \(i\times m\).
Step 2
Why this answer is correct
\(i\times m=0.6\times0.3=0.18,m\).
Step 3
Exam Tip
Without (i) correction, this lower molality will be assumed. चरण 1: अणुसंख्य प्रभाव \(i\times m\) पर निर्भर करता है। चरण 2: \(i\times m=0.6\times0.3=0.18,m\)। चरण 3: बिना (i) सुधार के यही कम मोललता मानी जाएगी।
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किसी विलेय के (2,g) को (0.4,kg) विलायक में घोलने पर प्रभावी मोललता (0.10,m) मिली। यदि (i=0.5), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (2,g) solute is dissolved in (0.4,kg) solvent, effective molality is found to be (0.10,m). If (i=0.5), what is the true molar mass?
#effective molality
#association
#true molar mass
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A \(20,g,mol^{-1}\)
B \(25,g,mol^{-1}\)
C \(40,g,mol^{-1}\)
D \(50,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(25,g,mol^{-1}\)
Step 1
Concept
True molality \(=\frac{0.10}{0.5}=0.20,m\).
Step 2
Why this answer is correct
Moles \(=0.20\times0.4=0.08\).
Step 3
Exam Tip
Molar mass \(=\frac{2}{0.08}=25,g,mol^{-1}\). चरण 1: वास्तविक मोललता \(\frac{0.10}{0.5}=0.20,m\) है। चरण 2: मोल \(0.20\times0.4=0.08\) होंगे। चरण 3: मोलर द्रव्यमान \(=\frac{2}{0.08}=25,g,mol^{-1}\)।
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यदि किसी विलेय का वास्तविक मोलर द्रव्यमान \(240,g,mol^{-1}\) है और अणुसंख्य विधि से \(160,g,mol^{-1}\) मिलता है, तो (i) और संभावित व्यवहार क्या होगा?
If the true molar mass of a solute is \(240,g,mol^{-1}\) and colligative method gives \(160,g,mol^{-1}\), what are (i) and the probable behaviour?
#abnormal molar mass
#dissociation
#van't Hoff factor
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A (i=0.67), संघटन / (i=0.67), association
B (i=1.5), वियोजन / (i=1.5), dissociation
C (i=2.4), वियोजन / (i=2.4), dissociation
D (i=1), सामान्य / (i=1), normal
Explanation opens after your attempt
Correct Answer
B. (i=1.5), वियोजन / (i=1.5), dissociation
Step 1
Concept
\((i=\frac{M_{\)true\(}}{M_{\)obs\(}}=\frac{240}{160}=1.5).\)
Step 2
Why this answer is correct
(i>1) means the effective particle number has increased.
Step 3
Exam Tip
\(This suggests dissociation. चरण 1: (i=\frac{M_{\)true\(}}{M_{\)obs}}=\frac{240}{160}=1.5)। चरण 2: (i>1) बताता है कि प्रभावी कणों की संख्या बढ़ी है। चरण 3: यह वियोजन की संभावना दिखाता है।
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किसी विलेय के (1.5,g) को (100,g) जल में घोलने पर \(\Delta T_f=0.186,K\) है। यदि (i=0.75), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (1.5,g) solute is dissolved in (100,g) water, \(\Delta T_f=0.186,K\). If (i=0.75), what is the true molar mass?
#association
#freezing point depression
#true molar mass
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A \(50,g,mol^{-1}\)
B \(75,g,mol^{-1}\)
C \(100,g,mol^{-1}\)
D \(150,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
A. \(50,g,mol^{-1}\)
Step 1
Concept
Effective molality \(=\frac{0.186}{1.86}=0.1\).
Step 2
Why this answer is correct
True molality \(=\frac{0.1}{0.75}=0.1333\).
Step 3
Exam Tip
(100,g=0.1,kg), moles (=0.01333), so molar mass \(=\frac{1.5}{0.01333}\approx112.5,g,mol^{-1}\). चरण 1: प्रभावी मोललता \(\frac{0.186}{1.86}=0.1\) है। चरण 2: वास्तविक मोललता \(\frac{0.1}{0.75}=0.1333\) होगी। चरण 3: (100,g=0.1,kg), मोल (0.01333), इसलिए मोलर द्रव्यमान \(\frac{1.5}{0.01333}\approx112.5,g,mol^{-1}\)।
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एक विलेय के (1.8,g) से (300,mL) विलयन बना। (300,K) पर \(\pi=0.492,atm\) है। यदि (i=1.2), तो वास्तविक मोलर द्रव्यमान कितना होगा?
A (300,mL) solution is prepared from (1.8,g) solute. At (300,K), \(\pi=0.492,atm\). If (i=1.2), what is the true molar mass?
#osmotic pressure
#van't Hoff factor
#true molar mass
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A \(90,g,mol^{-1}\)
B \(120,g,mol^{-1}\)
C \(150,g,mol^{-1}\)
D \(180,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(150,g,mol^{-1}\)
Step 1
Concept
\(C=\frac{0.492}{1.2\times0.082\times300}=0.0167,M\).
Step 2
Why this answer is correct
(300,mL=0.3,L), so moles \(=0.0167\times0.3=0.005\).
Step 3
Exam Tip
Molar mass \(=\frac{1.8}{0.005}=360,g,mol^{-1}\). चरण 1: \(C=\frac{0.492}{1.2\times0.082\times300}=0.0167,M\)। चरण 2: (300,mL=0.3,L), इसलिए मोल \(0.0167\times0.3=0.005\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{1.8}{0.005}=360,g,mol^{-1}\)।
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यदि \(K_f=1.86,K,kg,mol^{-1}\), विलेय (4,g), विलायक (200,g), मोलर द्रव्यमान \(100,g,mol^{-1}\), और (i=1.5) है, तो \(\Delta T_f\) कितना होगा?
If \(K_f=1.86,K,kg,mol^{-1}\), solute mass is (4,g), solvent mass is (200,g), molar mass is \(100,g,mol^{-1}\), and (i=1.5), what is \(\Delta T_f\)?
#reverse calculation
#freezing point depression
#i factor
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A (0.279,K)
B (0.372,K)
C (0.465,K)
D (0.558,K)
Explanation opens after your attempt
Correct Answer
D. (0.558,K)
Step 1
Concept
Moles of solute \(=\frac{4}{100}=0.04\).
Step 2
Why this answer is correct
(200,g=0.2,kg), so molality is (0.2,m).
Step 3
Exam Tip
\(\Delta T_f=iK_fm=1.5\times1.86\times0.2=0.558,K\). चरण 1: विलेय के मोल \(\frac{4}{100}=0.04\) हैं। चरण 2: (200,g=0.2,kg), इसलिए मोललता (0.2,m) है। चरण 3: \(\Delta T_f=iK_fm=1.5\times1.86\times0.2=0.558,K\)।
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यदि \(K_b=0.52,K,kg,mol^{-1}\), विलेय (3,g), विलायक (250,g), मोलर द्रव्यमान \(60,g,mol^{-1}\), और (i=2) है, तो \(\Delta T_b\) कितना होगा?
If \(K_b=0.52,K,kg,mol^{-1}\), solute mass is (3,g), solvent mass is (250,g), molar mass is \(60,g,mol^{-1}\), and (i=2), what is \(\Delta T_b\)?
#boiling point elevation
#reverse numerical
#molar mass
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A (0.104,K)
B (0.208,K)
C (0.312,K)
D (0.416,K)
Explanation opens after your attempt
Correct Answer
B. (0.208,K)
Step 1
Concept
Moles of solute \(=\frac{3}{60}=0.05\).
Step 2
Why this answer is correct
(250,g=0.25,kg), so molality is (0.2,m).
Step 3
Exam Tip
\(\Delta T_b=2\times0.52\times0.2=0.208,K\). चरण 1: विलेय के मोल \(\frac{3}{60}=0.05\) हैं। चरण 2: (250,g=0.25,kg), इसलिए मोललता (0.2,m) है। चरण 3: \(\Delta T_b=2\times0.52\times0.2=0.208,K\)।
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किसी विलेय के (4.5,g) को (300,g) जल में घोलने पर \(\Delta T_f=0.837,K\) है। यदि (i=1.5), तो वास्तविक मोलर द्रव्यमान क्या होगा?
When (4.5,g) solute is dissolved in (300,g) water, \(\Delta T_f=0.837,K\). If (i=1.5), what is the true molar mass?
#freezing point depression
#i correction
#molar mass
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A \(50,g,mol^{-1}\)
B \(60,g,mol^{-1}\)
C \(75,g,mol^{-1}\)
D \(90,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(60,g,mol^{-1}\)
Step 1
Concept
True molality \(m=\frac{0.837}{1.5\times1.86}=0.3\).
Step 2
Why this answer is correct
(300,g=0.3,kg), so moles \(=0.3\times0.3=0.09\).
Step 3
Exam Tip
Molar mass \(=\frac{4.5}{0.09}=50,g,mol^{-1}\). चरण 1: वास्तविक मोललता \(m=\frac{0.837}{1.5\times1.86}=0.3\) है। चरण 2: (300,g=0.3,kg), इसलिए मोल \(0.3\times0.3=0.09\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{4.5}{0.09}=50,g,mol^{-1}\)।
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अवाष्पशील विलेय के (4,g) को (36,g) जल में घोलने पर वाष्प दाब में आपेक्षिक कमी (0.08) है। विलेय का मोलर द्रव्यमान लगभग कितना होगा?
When (4,g) of a non-volatile solute is dissolved in (36,g) water, the relative lowering of vapour pressure is (0.08). What is the approximate molar mass of the solute?
#vapour pressure lowering
#mole fraction
#molar mass
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A \(23,g,mol^{-1}\)
B \(25,g,mol^{-1}\)
C \(46,g,mol^{-1}\)
D \(50,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
A. \(23,g,mol^{-1}\)
Step 1
Concept
Moles of water \(=\frac{36}{18}=2\), and \(x_2=0.08\).
Step 2
Why this answer is correct
\(0.08=\frac{n_2}{2+n_2}\), so \(n_2=\frac{0.16}{0.92}\approx0.174\) mol.
Step 3
Exam Tip
Molar mass \(=\frac{4}{0.174}\approx23,g,mol^{-1}\). चरण 1: जल के मोल \(\frac{36}{18}=2\) हैं और \(x_2=0.08\)। चरण 2: \(0.08=\frac{n_2}{2+n_2}\), इसलिए \(n_2=\frac{0.16}{0.92}\approx0.174\) मोल। चरण 3: मोलर द्रव्यमान \(=\frac{4}{0.174}\approx23,g,mol^{-1}\)।
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किसी विलेय का (i=2.25) है और प्रेक्षित मोलर द्रव्यमान \(64,g,mol^{-1}\) है। वास्तविक मोलर द्रव्यमान क्या होगा?
A solute has (i=2.25) and observed molar mass \(64,g,mol^{-1}\). What is the true molar mass?
#true molar mass
#observed molar mass
#van't Hoff factor
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A \(128,g,mol^{-1}\)
B \(144,g,mol^{-1}\)
C \(160,g,mol^{-1}\)
D \(192,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(144,g,mol^{-1}\)
Step 1
Concept
\((M_{\)obs\(}=\frac{M_{\)true}}{i}).
Step 2
Why this answer is correct
\(Therefore (M_{\)true\(}=iM_{\)obs}).
Step 3
Exam Tip
\((2.25\times64=144,g,mol^{-1}). चरण 1: (M_{\)obs\(}=\frac{M_{\)true}}{i}) होता है। \(चरण 2: इसलिए (M_{\)true\(}=iM_{\)obs})। \(चरण 3: (2.25\times64=144,g,mol^{-1})\)।
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किसी \(AB_2\) विलेय का वास्तविक मोलर द्रव्यमान \(180,g,mol^{-1}\) है और वियोजन (70%) है। प्रेक्षित मोलर द्रव्यमान लगभग कितना होगा?
An \(AB_2\) solute has true molar mass \(180,g,mol^{-1}\) and is (70%) dissociated. What will be the approximate observed molar mass?
#AB2 electrolyte
#observed molar mass
#partial dissociation
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A \(60,g,mol^{-1}\)
B \(75,g,mol^{-1}\)
C \(90,g,mol^{-1}\)
D \(105.9,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(75,g,mol^{-1}\)
Step 1
Concept
For \(AB_2\), \(i=1+2\alpha\).
Step 2
Why this answer is correct
With \(\alpha=0.70\), (i=2.4).
Step 3
Exam Tip
Observed molar mass \(=\frac{180}{2.4}=75,g,mol^{-1}\). चरण 1: \(AB_2\) के लिए \(i=1+2\alpha\)। चरण 2: \(\alpha=0.70\), इसलिए (i=2.4)। चरण 3: प्रेक्षित मोलर द्रव्यमान \(=\frac{180}{2.4}=75,g,mol^{-1}\)।
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एक विलेय (60%) त्रिमर बनाता है। यदि वास्तविक मोलर द्रव्यमान \(180,g,mol^{-1}\) है, तो प्रेक्षित मोलर द्रव्यमान कितना होगा?
A solute forms trimers to the extent of (60%). If its true molar mass is \(180,g,mol^{-1}\), what will be the observed molar mass?
#trimer association
#observed molar mass
#expert numerical
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A \(240,g,mol^{-1}\)
B \(270,g,mol^{-1}\)
C \(300,g,mol^{-1}\)
D \(360,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
C. \(300,g,mol^{-1}\)
Step 1
Concept
For trimer association, \(i=1-\frac{2\alpha}{3}\).
Step 2
Why this answer is correct
With \(\alpha=0.60\), \(i=1-\frac{1.2}{3}=0.60\).
Step 3
Exam Tip
Observed molar mass \(=\frac{180}{0.60}=300,g,mol^{-1}\). चरण 1: त्रिमर संघटन के लिए \(i=1-\frac{2\alpha}{3}\)। चरण 2: \(\alpha=0.60\), अतः \(i=1-\frac{1.2}{3}=0.60\)। चरण 3: प्रेक्षित मोलर द्रव्यमान \(=\frac{180}{0.60}=300,g,mol^{-1}\)।
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किसी (0.02,M) विलेय का (300,K) पर परासरण दाब (0.984,atm) है। \(R=0.082,L,atm,mol^{-1},K^{-1}\) हो तो (i) और व्यवहार क्या होगा?
A (0.02,M) solute has osmotic pressure (0.984,atm) at (300,K). If \(R=0.082,L,atm,mol^{-1},K^{-1}\), what are (i) and the behaviour?
#osmotic pressure
#i factor
#dissociation
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A (i=1), सामान्य / (i=1), normal
B (i=2), वियोजन / (i=2), dissociation
C (i=0.5), संघटन / (i=0.5), association
D (i=3), पूर्ण त्रिक वियोजन / (i=3), complete three-particle dissociation
Explanation opens after your attempt
Correct Answer
B. (i=2), वियोजन / (i=2), dissociation
Step 1
Concept
\(i=\frac{\pi}{CRT}=\frac{0.984}{0.02\times0.082\times300}\).
Step 2
Why this answer is correct
Denominator is (0.492), so (i=2).
Step 3
Exam Tip
(i>1) indicates dissociation. चरण 1: \(i=\frac{\pi}{CRT}=\frac{0.984}{0.02\times0.082\times300}\)। चरण 2: हर (0.492) है, इसलिए (i=2)। चरण 3: (i>1) होने पर वियोजन का संकेत मिलता है।
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यदि (0.3,g) विलेय (150,mL) विलयन में (300,K) पर (0.123,atm) परासरण दाब देता है और (i=1), तो मोलर द्रव्यमान क्या होगा?
If (0.3,g) solute in (150,mL) solution gives osmotic pressure (0.123,atm) at (300,K) and (i=1), what is the molar mass?
#osmotic pressure
#large molar mass
#numerical
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A \(300,g,mol^{-1}\)
B \(400,g,mol^{-1}\)
C \(500,g,mol^{-1}\)
D \(600,g,mol^{-1}\)
Explanation opens after your attempt
Correct Answer
B. \(400,g,mol^{-1}\)
Step 1
Concept
\(C=\frac{0.123}{0.082\times300}=0.005,M\).
Step 2
Why this answer is correct
(150,mL=0.15,L), so moles \(=0.005\times0.15=0.00075\).
Step 3
Exam Tip
Molar mass \(=\frac{0.3}{0.00075}=400,g,mol^{-1}\). चरण 1: \(C=\frac{0.123}{0.082\times300}=0.005,M\)। चरण 2: (150,mL=0.15,L), इसलिए मोल \(0.005\times0.15=0.00075\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{0.3}{0.00075}=400,g,mol^{-1}\)।
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किसी (AB) विलेय का (i=1.25) है और प्रेक्षित मोलर द्रव्यमान \(96,g,mol^{-1}\) है। वास्तविक मोलर द्रव्यमान और वियोजन की मात्रा क्या होगी?
An (AB) solute has (i=1.25) and observed molar mass \(96,g,mol^{-1}\). What are the true molar mass and degree of dissociation?
#AB electrolyte
#true molar mass
#degree of dissociation
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A \(120,g,mol^{-1}\), (25%)
B \(120,g,mol^{-1}\), (50%)
C \(96,g,mol^{-1}\), (25%)
D \(144,g,mol^{-1}\), (25%)
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Correct Answer
A. \(120,g,mol^{-1}\), (25%)
Step 1
Concept
True molar mass \(=1.25\times96=120,g,mol^{-1}\).
Step 2
Why this answer is correct
For (AB), \(i=1+\alpha\).
Step 3
Exam Tip
\(\alpha=1.25-1=0.25\), meaning (25%) dissociation. चरण 1: वास्तविक मोलर द्रव्यमान \(=1.25\times96=120,g,mol^{-1}\)। चरण 2: (AB) के लिए \(i=1+\alpha\)। चरण 3: \(\alpha=1.25-1=0.25\), यानी (25%) वियोजन।
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यदि किसी विलेय का (i=0.4) और वास्तविक मोलर द्रव्यमान \(80,g,mol^{-1}\) है, तो अणुसंख्य विधि से प्रेक्षित मोलर द्रव्यमान क्या होगा?
If a solute has (i=0.4) and true molar mass \(80,g,mol^{-1}\), what will be the observed molar mass from a colligative method?
#association
#observed molar mass
#van't Hoff factor
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A \(32,g,mol^{-1}\)
B \(80,g,mol^{-1}\)
C \(160,g,mol^{-1}\)
D \(200,g,mol^{-1}\)
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Correct Answer
D. \(200,g,mol^{-1}\)
Step 1
Concept
\(Observed molar mass (=\frac{\)true molar mass}{i}).
Step 2
Why this answer is correct
\(\frac{80}{0.4}=200,g,mol^{-1}\).
Step 3
Exam Tip
\(When (i<1), observed molar mass is higher than true mass. चरण 1: प्रेक्षित मोलर द्रव्यमान (=\frac{\)वास्तविक मोलर द्रव्यमान}{i})। चरण 2: \(\frac{80}{0.4}=200,g,mol^{-1}\)। \(चरण 3: (i<1) होने पर प्रेक्षित मोलर द्रव्यमान वास्तविक से अधिक होता है\)।
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किसी (0.5,g) विलेय को (250,g) जल में घोलने पर \(\Delta T_f=0.0186,K\) है। यदि (i=1), तो मोलर द्रव्यमान क्या होगा?
When (0.5,g) solute is dissolved in (250,g) water, \(\Delta T_f=0.0186,K\). If (i=1), what is the molar mass?
#small freezing point depression
#molar mass
#cryoscopy
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A \(100,g,mol^{-1}\)
B \(150,g,mol^{-1}\)
C \(200,g,mol^{-1}\)
D \(250,g,mol^{-1}\)
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Correct Answer
C. \(200,g,mol^{-1}\)
Step 1
Concept
\(m=\frac{0.0186}{1.86}=0.01\).
Step 2
Why this answer is correct
(250,g=0.25,kg), so moles \(=0.01\times0.25=0.0025\).
Step 3
Exam Tip
Molar mass \(=\frac{0.5}{0.0025}=200,g,mol^{-1}\). चरण 1: \(m=\frac{0.0186}{1.86}=0.01\)। चरण 2: (250,g=0.25,kg), इसलिए मोल \(0.01\times0.25=0.0025\) हैं। चरण 3: मोलर द्रव्यमान \(=\frac{0.5}{0.0025}=200,g,mol^{-1}\)।
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यदि किसी \(AB_2\) विलेय का (i=2.6) है और वास्तविक मोलर द्रव्यमान \(156,g,mol^{-1}\) है, तो प्रेक्षित मोलर द्रव्यमान और वियोजन की मात्रा क्या होगी?
If an \(AB_2\) solute has (i=2.6) and true molar mass \(156,g,mol^{-1}\), what are the observed molar mass and degree of dissociation?
#AB2 electrolyte
#observed molar mass
#degree of dissociation
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A \(60,g,mol^{-1}\), (80%)
B \(60,g,mol^{-1}\), (60%)
C \(78,g,mol^{-1}\), (80%)
D \(90,g,mol^{-1}\), (40%)
Explanation opens after your attempt
Correct Answer
A. \(60,g,mol^{-1}\), (80%)
Step 1
Concept
Observed molar mass \(=\frac{156}{2.6}=60,g,mol^{-1}\).
Step 2
Why this answer is correct
For \(AB_2\), \(i=1+2\alpha\).
Step 3
Exam Tip
\(2.6=1+2\alpha\), so \(\alpha=0.8\), or (80%). चरण 1: प्रेक्षित मोलर द्रव्यमान \(=\frac{156}{2.6}=60,g,mol^{-1}\)। चरण 2: \(AB_2\) के लिए \(i=1+2\alpha\)। चरण 3: \(2.6=1+2\alpha\), इसलिए \(\alpha=0.8\), यानी (80%)।
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किसी विलेय के (3.6,g) से (1,L) विलयन बना। (300,K) पर \(\pi=0.369,atm\) है। यदि विलेय (25%) द्विमर बनाता है, तो वास्तविक मोलर द्रव्यमान लगभग क्या होगा?
A (1,L) solution is prepared from (3.6,g) solute. At (300,K), \(\pi=0.369,atm\). If the solute forms dimers to the extent of (25%), what is the approximate true molar mass?
#osmotic pressure
#dimerization
#true molar mass
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A \(200,g,mol^{-1}\)
B \(210,g,mol^{-1}\)
C \(220,g,mol^{-1}\)
D \(240,g,mol^{-1}\)
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Correct Answer
D. \(240,g,mol^{-1}\)
Step 1
Concept
For (25%) dimerization, \(i=1-\frac{0.25}{2}=0.875\).
Step 2
Why this answer is correct
\(C=\frac{0.369}{0.875\times0.082\times300}\approx0.0171,M\).
Step 3
Exam Tip
In (1,L), moles are (0.0171), so molar mass \(=\frac{3.6}{0.0171}\approx210,g,mol^{-1}\). चरण 1: (25%) द्विमर के लिए \(i=1-\frac{0.25}{2}=0.875\)। चरण 2: \(C=\frac{0.369}{0.875\times0.082\times300}\approx0.0171,M\)। चरण 3: (1,L) में मोल (0.0171), इसलिए मोलर द्रव्यमान \(\frac{3.6}{0.0171}\approx210,g,mol^{-1}\)।
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मोलर द्रव्यमान निर्धारण में यदि प्रेक्षित मानों से (i<1) मिलता है, तो सबसे उचित परीक्षा निष्कर्ष क्या होगा?
In molar mass determination, if observed values give (i<1), what is the most suitable exam conclusion?
#conceptual
#molar mass correction
#association
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A विलेय के स्वतंत्र कण बढ़ गए हैं / Independent solute particles have increased
B विलेय के स्वतंत्र कण घटे हैं और संघटन संभव है / Independent solute particles have decreased and association is possible
C विलेय पूर्ण वियोजित है / The solute is completely dissociated
D मोलर द्रव्यमान का कोई संबंध कण संख्या से नहीं है / Molar mass has no relation with particle number
Explanation opens after your attempt
Correct Answer
B. विलेय के स्वतंत्र कण घटे हैं और संघटन संभव है / Independent solute particles have decreased and association is possible
Step 1
Concept
(i<1) means the colligative effect is less than normal.
Step 2
Why this answer is correct
A smaller effect indicates fewer independent solute particles.
Step 3
Exam Tip
This usually happens due to association, such as dimer or trimer formation. चरण 1: (i<1) का अर्थ है अणुसंख्य प्रभाव सामान्य से कम है। चरण 2: कम प्रभाव बताता है कि स्वतंत्र विलेय कणों की संख्या घट गई है। चरण 3: ऐसा सामान्यतः संघटन, जैसे द्विमर या त्रिमर बनने, के कारण होता है।
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