Chapter 13, Problem 74GQ

### 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

# Water at 25 °C has a density of 0.997 g/cm3. Calculate the molality and molarity of pure water at this temperature.

Interpretation Introduction

Interpretation: Molality and molarity of pure water has to be calculated under given conditions.

Concept introduction:

The number of moles of any substance can be determined using the equation

Numberofmole=GivenmassofthesubstanceMolarmass

Molality (m): Molality is the number of moles of solute present in one kilogram of solvent.

Molality (m) =Numberofmolesofsolute1kgofsolvent

Molarity (M): Molarity is number of moles of the solute present in the one liter of the solution.

Molarity (M) =Numberofmolesofsolute1literofsolution

Explanation

Molality and molarity of pure water is calculated.

Given,

â€‚Â DensityÂ ofÂ waterÂ =â€‰0.977â€‰g/cm3MolarÂ massÂ ofÂ waterÂ =Â â€‰18.02â€‰g/mol

The mass of water is taken as 0.997â€‰kg since the density is 0.977â€‰g/cm3

The number of moles of water can be determined using the equation

â€‚Â Numberâ€‰ofâ€‰moleâ€‰=997â€‰g18.02â€‰g/molâ€‰=â€‰55

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