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If a 0.2 m solution is prepared using 0.5 kg of solvent, how many moles of solute are present?

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Answer and explanation

Correct answer: 0.10 mol

Molality is defined as m = moles of solute divided by kilograms of solvent. Rearranging gives moles of solute = molality × mass of solvent in kilograms. Thus, n = 0.2 mol kg⁻¹ × 0.5 kg = 0.10 mol. Therefore, option B is correct. The mass used in this formula is the mass of solvent, not the total mass of the solution, and it must be expressed in kilograms.

Related tags

MolalityMoles Of SoluteColligative PropertiesConcentrationSolutions5: Colligative PropertiesChapter 01: SolutionsChapter 01 Solutions

Frequently asked questions

What is the correct answer to this question?

0.10 mol

Why is this the correct answer?

Molality is defined as m = moles of solute divided by kilograms of solvent. Rearranging gives moles of solute = molality × mass of solvent in kilograms. Thus, n = 0.2 mol kg⁻¹ × 0.5 kg = 0.10 mol. Therefore, option B is correct. The mass used in this formula is the mass of solvent, not the total mass of the solution, and it must be expressed in kilograms.

Which subject and chapter does this question cover?

This is a Class 12 Chemistry question. Chapter: Chapter 01: Solutions. Topic: 5: Colligative Properties.

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