Question

What mass of water is contained in 160 grams of 22.0% (m/v) KCl solution (Density of solution: 1.1 g/mL)?

please show full solution, (Indicate your answers to two digits after the decimal)

Answer 1

Given,

Mass of KCl solution = 160 grams

m/v percent of KCl = 22.0 %

Density of solution = 1.1 g/mL

Firstly calculating the volume of the solution from the given mass of solution and density of the solution,

= 160 grams KCl solution x ( 1 mL /1.1 g)

= 145.45 mL solution.

Now, calculating the mass of solute(KCl) present in the solution from the m/v percent and volume of solution.

= (22.0 /100 ) x 145.45 mL

= 32 grams KCl is present in 145.45 mL of solution.

Now, We know.

Mass of solution = 160 grams

Mass of solute(KCl) = 32 grams

Thus,

Mass of solution = Mass of solute(KCl) + Mass of solvent(water)

Rearranging the formula,

Mass of solvent(water) = Mass of solution - Mass of solute(KCl)

Mass of solvent(water) = 160 g - 32 g

Mass of solvent(water) = 128.00 g

Thus, 1.28 x 10² g water is contained in 160 grams of 22.0% (m/v) KCl solution.