What is osmotic pressure of solution of $1.7 \mathrm{~g} \mathrm{CaCl}_2$ in $1.25 \mathrm{dm}^3$ water at…

What is osmotic pressure of solution of $1.7 \mathrm{~g} \mathrm{CaCl}_2$ in $1.25 \mathrm{dm}^3$ water at $300 \mathrm{~K}$ if van't Hoff factor and molar mass of $\mathrm{CaCl}_2$, are 2.47 and $111 \mathrm{~g} \mathrm{~mol}^{-1}$ respectively? $\left[\mathrm{R}=0.082 \mathrm{dm}^3 \text { atm mol }{ }^{-1} \mathrm{~K}^{-1}\right]$
  1. $0.625 \mathrm{~atm}$
  2. $0.744 \mathrm{~atm}$
  3. $0.827 \mathrm{~atm}$
  4. $0.936 \mathrm{~atm}$

Solution

$\pi=\mathrm{iMRT}=\frac{\mathrm{i} \times \mathrm{W}_2 \mathrm{RT}}{\mathrm{M}_2 \mathrm{~V}}$ $\begin{aligned} & \pi=\frac{2.47 \times 1.7 \mathrm{~g} \times 0.082 \mathrm{dm}^3 \mathrm{~atm} \mathrm{~mol} \mathrm{~K}^{-1} \times 300 \mathrm{~K}}{111 \mathrm{~g} \mathrm{~mol}^{-1} \times 1.25 \mathrm{dm}^3} \\ & =0.744 \mathrm{~atm} \\ & \end{aligned}$

Asked in: MHT CET 2023 (10 May Shift 2)

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