Let mass of solution be 1 Kg = 1000 g
mass of HClO4 = 70.5 % of mass of solution
= 70.5*1000.0/100
= 705.0 g
mass of solvent = mass of solution - mass of solute
mass of solvent = 1000 g - 705.0 g
mass of solvent = 295.0 g
mass of solvent = 0.295 Kg
Molar mass of HClO4,
MM = 1*MM(H) + 1*MM(Cl) + 4*MM(O)
= 1*1.008 + 1*35.45 + 4*16.0
= 100.458 g/mol
mass(HClO4)= 705.0 g
use:
number of mol of HClO4,
n = mass of HClO4/molar mass of HClO4
=(7.05*10^2 g)/(1.005*10^2 g/mol)
= 7.018 mol
m(solvent)= 0.295 Kg
use:
Molality,
m = number of mol / mass of solvent in Kg
=(7.018 mol)/(0.295 Kg)
= 23.79 molal
Answer: 23.8 molal
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