Chapter 13, Problem 10PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Concentrated sulfuric acid has a density of 1.84 g/cm3 and is 95.0% by weight H2SO4. What is the molality of this acid? What is its molarity?

Interpretation Introduction

Interpretation: The molarity and molality of H2SO4 to be identified.

Concept introduction:

Molarity: It is defined as the number of moles per liter of the solution.

Molarity=nV

Molality: The amount of solute (mol) per kilogram of solvent.

Concentration (C, mol/kg) =  molality of solute = Amount of solute (mol)Mass of solvent (Kg)

Explanation

The molarity:

Given data:

weightÂ %Â ofÂ H2SO4â€‰=â€‰Â 95%densityâ€‰â€‰=â€‰â€‰1.84â€‰g/cm3=â€‰â€‰â€‰1.84â€‰g/ml3â€‰=â€‰1840Â g/L

Thus weight of H2SO4 is 1840â€‰gâ€‰inâ€‰1Lâ€‰ of solution.

Given that H2SO4 is present 95% by weight in the solution.

0.95â€‰Ã—1840=â€‰1748g

Molarity is defined as the number of moles per liter of the solution.

Molarityâ€‰=â€‰nV

No.â€‰ofâ€‰molesâ€‰=â€‰massmolarâ€‰mass

Molarityâ€‰â€‰=â€‰(1748Â gâ€‰/Â 98g.â€‰mol-1)1Lâ€‰=â€‰â€‰17

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