   # Consider a mixture of potassium chloride and potassium nitrate that is 43.2% potassium by mass. What is the percent KCl by mass of the original mixture? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 5, Problem 176CP
Textbook Problem
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## Consider a mixture of potassium chloride and potassium nitrate that is 43.2% potassium by mass. What is the percent KCl by mass of the original mixture?

Interpretation Introduction

Interpretation: The mass percent of potassium (K) in a mixture of potassium chloride (KCl) and potassium nitrate (KNO3) is given. By using this value, the percent KCl by mass of the original mixture is to be calculated.

Concept introduction: The molar mass is the sum of atomic mass of individual atoms.

The number of moles is the ratio of mass of element or compound to its molecular mass.

To determine: The percent KCl by mass of the original mixture.

### Explanation of Solution

Given

The mass percent of potassium (K) metal is 43.2% .

It is assumed that mass of KCl is X and mass of KNO3 is Y .

The molar mass of KCl is,

39.1g/mol+35.45g/mol=74.55g/mol

The molar mass of KNO3 is,

39.1g/mol+14.006g/mol+3(15.999g/mol)=101.1g/mol

If the mass of mixture is taken 100g , then mass of potassium is 43.2g . The mixture is composed of potassium chloride (KCl) and potassium nitrate (KNO3) . It means that,

X+Y=100gX=100gY (1)

Formula

The number of moles is calculated by using the formula,

Numberofmoles=GivenmassMolarmass (2)

Substitute the values of mass and molar mass of KCl in equation (2).

NumberofmolesofKCl=GivenmassofKClMolarmass=X74.55g/mol

Substitute the values of mass and molar mass of KNO3 in equation (2).

NumberofmolesofKNO3=GivenmassofKNO3Molarmass=Y101.1g/mol

The number of moles of potassium in the mixture is calculated using the formula,

NumberofmolesofK=GivenmassofKAtomicmass

Substitute the values of mass and atomic mass of K in above equation

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