Question

At a certain temperature, the value of the slope of plot osmotic pressure $\left(\pi \right)$ against concentration (C in mol L${}^{-1}$) of a certain polymer solution is 291 R. The temperature at which osmotic pressure is measured, is: (R is gas constant)

• A. ${271}^{o}C$
• B. ${18}^{o}C$
• C. $564K$
• D. $18K$

Answer 1

The correct option is B ${18}^{o}C$

The relationship between the osmotic pressure and the concentration is
$\Pi =CRT$

For the plot of osmotic pressure (π) against concentration (C in mol /L)

Slope $=RT=291R$
$T=291K={18}^{o}C$

Thus the temperature at which osmotic pressure is measured is ${18}^{o}C$.