Question

If $M$, $W$ and $V$ represent molar mass of solute, mass of solute and volume of solution in litres respectively, which among following equations is true ?

• A. $\pi=\frac{MWR}{TV}$
• B. $\pi=\frac{TMR}{WV}$
• C. $\pi=\frac{TWR}{VM}$
• D. $\pi=\frac{TRV}{WM}$

Answer 1

Answer: (C)

We have the relation between osmotic pressure and molecular mass as,

$\pi=C R T ;$ where, $\pi=$ osmotic pressure

$C=$ concentration

$\pi=\frac{n}{V} R T$

$\Rightarrow \pi=\frac{{M}}{V} \times R T$

$\Rightarrow \pi=\frac{T W R}{M V}$