$0.2 \mathrm{M}$ aqueous solution of glucose has osmotic pressure $4.9 \mathrm{~atm}$ at $300 \mathrm{~K}$.…

$0.2 \mathrm{M}$ aqueous solution of glucose has osmotic pressure $4.9 \mathrm{~atm}$ at $300 \mathrm{~K}$. What is the concentration of glucose if it has osmotic pressure $1.5 \mathrm{~atm}$ at same temperature?
  1. 0.03 M
  2. 0.04 M
  3. 0.05 M
  4. 0.06 M

Solution

$\begin{aligned} & \pi=\mathrm{M} \times \mathrm{R} \times \mathrm{T} \\ \therefore \quad & \mathrm{M}=\frac{\pi}{\mathrm{RT}}=\frac{1.5}{0.082 \times 300}=0.06 \mathrm{M}\end{aligned}$

Asked in: MHT CET 2023 (09 May Shift 1)

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