A 98 percent by mass sulfuric acid solution has density 1.84 g mL−1. What is its molarity?
Answer and explanation
Correct answer: 18.4 mol L−1
Choose 1 L of solution. Its mass is 1.84 g mL−1 × 1000 mL = 1840 g. The mass of H2SO4 is 98% of this, or 1803.2 g. Using molar mass 98 g mol−1 gives 1803.2/98 = 18.4 mol. Since these moles are in 1 L, the molarity is 18.4 mol L−1. Density is essential in this conversion.
Frequently asked questions
What is the correct answer to this question?
18.4 mol L−1
Why is this the correct answer?
Choose 1 L of solution. Its mass is 1.84 g mL−1 × 1000 mL = 1840 g. The mass of H2SO4 is 98% of this, or 1803.2 g. Using molar mass 98 g mol−1 gives 1803.2/98 = 18.4 mol. Since these moles are in 1 L, the molarity is 18.4 mol L−1. Density is essential in this conversion.
Which subject and chapter does this question cover?
This is a Class 11 Chemistry question. Chapter: Chapter 01: Solutions.