Answer:
0.412mol/Kg
Explanation:
First, let us fine the number of mole of KCl.. This is illustrated below
Mass of KCl = 15.434g
Molar Mass of KCl = 74.55 g/mol
Number of mole = Mass /Molar Mass
Number of mole KCl = 15.434/74.55 = 0.21mole
Now, let us calculate the mass of the water in kg. This can be achieved by doing the following:
Density = 1.02 g/mL
Volume = 500mL
Mass =?
Mass = Density x volume
Mass of water = 1.02 x 500 = 510g
Converting 510g to kg, we have: 510/1000 = 0.51kg
Now we calculate for the molality as follows:
Mole of the solute = 0.21mole
Mass of the solvent = 0.51Kg
Molality = mole of solute /mass of solvent
Molality = 0.21/0.51
Molality = 0.412mol/Kg