
Derive the relation between molarity and molality
Answer
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M = molarity = moles solute / Liter solution
m = molality = moles solute / kg solvent
ρ = density = g solution / mL solution = kg solution / L solution
mw = molecular weight (molar mass) of solute in g/mole
Equations:
(1) M = moles solute / L solution
(2)m = moles solute / kg solvent
(3) ρ = kg solution / L solution
(4)mw = g solute / mole solute
(5) kg solution = kg solvent + kg solute
multiplying (3) x 1/(1)
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