What is the molarity of a aqueous solution of potassium hydroxide (KOH, 56.106 g/mol) if the molality of the solution is 5.2 mol/kg

The molarity is 8.52M

Explanation:

molality = moles of solute/kg of solvent = 5.2mol/kg

moles of solute = 5.2mole

mass of solute = moles of solute * MW = 5.2 * 56.106 = 291.8g

mass of solvent = 1kg = 1000g

mass of solution = mass of solute + mass of solvent = 291.8g + 1000g = 1291.8g

Density of KOH = 2120g/L

Volume of solution = mass/density = 1291.8/2120 = 0.61L

Molarity = number of moles of solute/volume of solution = 5.2/0.61 = 8.52M