Question

the solubility of potassium chloride in water at 20-degree Celsius is 34.7 g in 100g of water the density of the solution is 1.3g/ml. calculate the concentration of potassium chloride int he solution in percentage.

Answer 1

Answer:

The concentration of potassium chloride in the solution is 25.76%(w/w).

The concentration of potassium chloride in the solution is 33.49%(w/v).

Explanation:

w/w % : The percentage mass or fraction of mass of the of solute present in total mass of the solution.

$w/w\%=\frac{\text{Mass of solute}}{\text{Mass of solution}}\times 100$

Mass of solute =  34.7 g

Mass of solvent = 100 g

Mass of solution =  34.7 g + 100 g = 134.7 g

$w/w\%=\frac{34.7}{134.7 g}\times 100=25.76\%$

The concentration of potassium chloride in the solution is 25.76%(w/w).

Density of the solution = d = 1.3 g/mL

Volume of the solution = V

$V=\frac{134.7 g}{1.3 g/mL}=103.62 mL$

w/v %: The percentage of mass of the of solute present in total volume of the solution.

$w/v\%=\frac{\text{Mass of solute}}{\text{Volume of solution}}\times 100$

$w/v\%=\frac{34.7 g}{103.62 mL}\times 100=33.49\%$

The concentration of potassium chloride in the solution is 33.49%(w/v).