Question

The osmotic pressure of a solution of $NaClis0.10atm$ and that of a glucose solution is $0.20atm$. The osmotic pressure of a solution formed by mixing $1L$ of the sodium chloride solution with $2L$ of the glucose solution is $x\times {10}^{-3}atm.x$ is
(JEE MAIN 2020)

Answer 1

$ForNaCl:{\pi }_1=i{C}_{1}RT\Rightarrow C_1=\frac{0.10}{2RT}(i=2)$ $\text{For Glucose}:{\pi }_2=C_{2}RT\Rightarrow C_2=\frac{0.20}{RT}(i=1)$ When $1L$ of $NaCl$ solution and $2L$ glucose solution are mixed. $\therefore C_1^{\prime }=\frac{0.10}{2RT}\times \frac{1}{3}and{C}_2^{\prime }=\frac{0.20}{RT}\times \frac{2}{3}=\frac{0.40}{3RT}$ $\therefore {\pi }_{Total}=i{C}_R^{\prime }T+i{C}_2^{\prime }RT=2\times \frac{0.10}{6}+\frac{0.40}{3}=\frac{0.50}{3}$ $\begin{array}{c}{\pi }_{Total}\simeq 167\times {10}^{-3}atm\end{array}$