Q11 / 90 · KVPY 2011 (SB/SX) · Chemistry

At $298 \mathrm{~K}$, the ratio of osmotic pressures of two solutions of a substance with concentrations of $0.01 \mathrm{M}$ and $0.001 \mathrm{M}$, respectively, is

  • A
    1
  • B
    100
  • Correct answer
    C
    10
  • D
    1000

Solution

$\pi=\mathrm{CRT} \quad \Rightarrow \pi \propto \mathrm{C}$ at const. $\mathrm{T}$ $\frac{\pi_{1}}{\pi_{2}}=\frac{\mathrm{C}_{1}}{\mathrm{C}_{2}}=\frac{0.01}{0.001}=10$

Hence, the correct answer is option: 'C'.

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