If the osmotic pressure of cane sugar solution is $2.46 \mathrm{~atm}$ at $27^{\circ} \mathrm{C}$, then what…

If the osmotic pressure of cane sugar solution is $2.46 \mathrm{~atm}$ at $27^{\circ} \mathrm{C}$, then what is the concentration (in $\mathrm{mol} \mathrm{L}^{-1}$ ) of the solution ( $\left.\mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$
  1. 0.1
  2. 0.2
  3. 0.01
  4. 0.02

Solution

$\pi=\mathrm{CRT} \Rightarrow \mathrm{C}=\frac{\pi}{\mathrm{RT}}=\frac{2.46}{0.082 \times(27+273)}$ $=0.1 \mathrm{~mol} \mathrm{~L}^{-1}$.

Asked in: AP EAMCET 2023 (17 May Shift 2)

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