Potassium chloride was dissolved in 200 g of water and a saturated solution was obtained at 10 * C

Potassium chloride was dissolved in 200 g of water and a saturated solution was obtained at 10 * C with a salt fraction of 0.23 by mass. Calculate the potassium chloride solubility at a given temperature.

The mass fraction of a solute is expressed as the ratio of the mass of the solute to the mass of the solution. The latter, in turn, consists of the masses of the solvent and the solute.

w (salts) = m (salts) / (m (salts) + m (water));

m (salt) / (m (salt) + 100) = 0.23;

m (salts) = 0.23 * m (salts) + 23;

m (salt) = 29.9 g;

S (salt) = 29.9 g per 100 g water.

Answer: S (salt) = 29.9 g per 100 g of water.