How do you show that this equation:
Molar Mass = (Kf * mass of solute(g) ) / ( mass of solvent(kg) * delta T)
results from this equation:
delta T = Kf * m * i
I can't seem to put stuff together. Any help is greatly appreciated.
Molar Mass = (Kf * mass of solute(g) ) / ( mass of solvent(kg) * delta T)
results from this equation:
delta T = Kf * m * i
I can't seem to put stuff together. Any help is greatly appreciated.
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Definitions:
m = molality = mol solute / kg of solvent
mol solute = mass of solute / molar mass
dT = Kf x m x i
Substitute for m:
dT = Kf x (mol solute / kg of solvent) x i
Solve for mol solute:
mol solute = (dT x kg of solvent x i) / Kf
Substitute for mol solute:
mass of solute / molar mass = (dT x kg of solvent x i) / Kf
Solve for molar mass:
molar mass = (Kf x mass of solute) / (kg of solvent x i x dT)
m = molality = mol solute / kg of solvent
mol solute = mass of solute / molar mass
dT = Kf x m x i
Substitute for m:
dT = Kf x (mol solute / kg of solvent) x i
Solve for mol solute:
mol solute = (dT x kg of solvent x i) / Kf
Substitute for mol solute:
mass of solute / molar mass = (dT x kg of solvent x i) / Kf
Solve for molar mass:
molar mass = (Kf x mass of solute) / (kg of solvent x i x dT)