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Question
Derive van’t Hoff general solution equation.
Solution
Combining van’t Hoff Boyle’s and Charle’s laws, van’t Hoff deducted the following equation.
`pi α "T"/"V"` = constant
πV = kT (k is constant of proportionality)
k is called general solution constant. The equation is called van’t Hoff general solution. It is similar to the general gas equation (PV = RT). van’t Hoff further proved that the value of k is the same as R, the gas constant hence,
πV = RT
Where, π - osmotic pressure
V – a volume of solution containing 1 mole of solute
R – gas constant equal to 8.314 J mol–1 K–1 or 0.082 atm mol–1 K–1
T – absolute temperature
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