Question

Prove that: M₂ = `(W_2RT)/(πV)`.

Answer 1

We have, πV = n₂RT

where, n₂ =number of moles of solute.

∴ π = `(n_2RT)/V`  ...(i)

∵ n₂ = Number of moles of solute

∴ n₂ = `("Mass of solute"(W_2) "in V litre")/("Molar mass" (M_2))`

∴ n₂ `W_2/(M_2V)`

Substituting this value, in equation (i)

π = `(W_2RT)/(M_2V)`

∴ M₂ = `(W_2RT)/(πV)`