   Chapter 15, Problem 25CR ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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# The concentration of a solution may be expressed in various ways. Suppose 5.00 g of NaCI were dissolved in 15.0 g of water, which resulted in 16.1 mL of solution after mixing. Explain how you would calculate the mass, percent of NaCl and the molarity of NaCl.

Interpretation Introduction

Interpretation:

The mass percent and molarity of NaCl is to be calculated.

Concept Introduction:

There are many ways to determine the concentration of the solution. One of the most used methods is molarity. Molarity may be defined as the number of moles of the solute in one liter of the whole solution. Thus, the molarity can be calculated as,

M=molesofsolute(mole)totalvolumeofsolution(L)

The mass percent of a solution can be calculated using formula,

Masspercent=Mass of soluteMass of solution×100%.

Explanation

The given mass of solute, that is, NaCl is 5g and mass of solvent, that is, water is 15g.

The mass solution is equal to the sum of mass of solute and solvent.

Massof solution=Mass of solute+Mass of solvent=5g+15g=20g

Mass of solution is 20g.

The mass percent of NaCl can be calculated using formula,

Masspercent=Mass of soluteMass of solution×100%

Substitute the value of mass of solute and solution in the given formula.

Masspercent=5g20g×100%=25%

The mass percent of NaCl is 25%.

The number of moles of NaCl is calculated using the formula,

Number of moles=Given massMolar mass

The molar mass of NaCl is 58

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