molality of the solution = 0.0245m
so, there is 0.0245moles of solute in 1kg of solvent, the number of moles of solute in 625g or
0.625kg of solvent is
moles of solute(AgNO3) = (0.625kg)*(0.0245mol/1kg)
=0.0153mol
mass of solvent, water = 625g
moles of solvent = 625g/18g/mol = 34.72mol
molar mass of AgNO3 = 107.9+14.01+3(16) =169.91g/mol
mass of solute AgNO3 = moles *molar mass
= 0.0153mol*169.91g/mol =2.6g
mole fraction of solute = moles of solute/total moles(solute+solvent)
= (0.0153mol)/(0.0153mol+34.72mol)
=
4.404x10-4
weight percent of AgNO3 = mass of AgNO3 /total mass *100
=(2.6g)/(2.6+625g) *100
=0.414%