#### Question

Derive van’t Hoff general solution equation

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#### Solution

Let ‘V’ be the volume of a dilute solution at an absolute temperature T containing ‘W’ grams of a substance with molecular mass ‘M’.

Number of moles of the substance, n = W/M

Concentration of the solution, C = n/V

At constant temperature, by van’t Hoff’s law

π ∝ C

At constant concentration of the solution, by van’t Hoff–Charles law

π ∝ T

Therefore,π ∝ CT

π = CRT

Where R = gas constant

This is called the van’t Hoff general solution equation.

Since C = n/V

π = n R T/V

Therefore, π V = n R T

Since n = W/M

Therefore, π V = WR T/M

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#### Reference Material

Solution for question: Derive Van’T Hoff General Solution Equation concept: Abnormal Molar Masses. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)