Chapter 14.2, Problem 12PP

Interpretation Introduction

Interpretation:

Mass of calcium chloride solution containing $50.0gm$ calcium chloride is to be calculated where the percent by mass of calcium chloride in a solution is found to be $2.65\%.$

Concept introduction:

The concentrations of solutions are expressed in different ways, all of them involved in the quantity of solute and the quantity of solution or solvent. Among them, Mass percentage (w/W percent) is used to express the concentration of solution.

Mass percentage (w/W percent):

Percent by mass usually describes solutions in which solute is solid and solvent is liquid. It is expressed as the ratio of the mass of the solute to the mass of the solution multiplied by 100. (The mass of the solution = mass of the solute +mass of the solvent)

In expression, $\mathrm{Mass}percentage\left(w/W\right)\%=\frac{Massofsolute}{Massofsolution}\times 100$

Answer to Problem 12PP

Mass of calcium chloride solution is $1886.79gm.$

Explanation:

$\mathrm{Mass}percentage\left(w/W\right)\%=\frac{Massofsolute}{Massofsolution}\times 100$

If we write in equation,

Percent by mass of calcium chloride in a solution $=\frac{MassofCaC{l}_2}{Massofsolution}\times 100$

Data given: Percent by mass of calcium chloride in a solution = $2.65\%.$

Mass of Calcium chloride = $50.0gm$

2.65 % $=\frac{50g}{Massofsolution}\times 100$

So, $Massofsolution=\frac{50\times 100}{2.65}$

= $1886.79gm.$

Mass of calcium chloride solution is $1886.79gm.$

Explanation of Solution

$\mathrm{Mass}percentage\left(w/W\right)\%=\frac{Massofsolute}{Massofsolution}\times 100$

If we write in equation,

Percent by mass of calcium chloride in a solution $=\frac{MassofCaC{l}_2}{Massofsolution}\times 100$

Data given: Percent by mass of calcium chloride in a solution = $2.65\%.$

Mass of Calcium chloride = $50.0gm$

2.65 % $=\frac{50g}{Massofsolution}\times 100$

So, $Massofsolution=\frac{50\times 100}{2.65}$

= $1886.79gm.$

Conclusion

Mass of calcium chloride solution is $1886.79gm.$