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?

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Interpretation Introduction Interpretation: The mass percent of potassium ( K ) in a mixture of potassium chloride ( KCl ) and potassium nitrate ( KNO 3 ) 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 Given The mass percent of potassium ( K ) metal is 43 .2% . It is assumed that mass of KCl is X and mass of KNO 3 is Y . The molar mass of KCl is, 39 .1 g/mol + 35 .45 g/mol = 74 .55 g/mol The molar mass of KNO 3 is, 39 .1 g/mol + 14 .006 g/mol + 3 ( 15 .999 g/mol ) = 101 .1 g/mol If the mass of mixture is taken 100 g , then mass of potassium is 43 .2 g . The mixture is composed of potassium chloride ( KCl ) and potassium nitrate ( KNO 3 ) . It means that, X + Y = 100 g X = 100 g − Y (1) Formula The number of moles is calculated by using the formula, Number of moles = Given mass Molar mass (2) Substitute the values of mass and molar mass of KCl in equation (2). Number of moles of KCl = Given mass of KCl Molar mass = X 74 .55 g/mol Substitute the values of mass and molar mass of KNO 3 in equation (2). Number of moles of KNO 3 = Given mass of KNO 3 Molar mass = Y 101 .1 g/mol The number of moles of potassium in the mixture is calculated using the formula, Number of moles of K = Given mass of K Atomic mass Substitute the values of mass and atomic mass of K in above equation

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Chemistry: An Atoms First Approach

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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,

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

The molar mass of KNO3 is,

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

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

X+Y=100 gX=100 g−Y (1)

Formula

The number of moles is calculated by using the formula,

Number of moles=Given massMolar mass (2)

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

Number of moles of KCl=Given mass of KClMolar mass=X74.55 g/mol

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

Number of moles of KNO3=Given mass of KNO3Molar mass=Y101.1 g/mol

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

Number of moles of K=Given mass of KAtomic mass

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

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

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Chemistry: An Atoms First Approach