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AIIMS 2017
Exam
AIIMS
Year
2017
Subject
Chemistry
Chapter
Chemical Equilibrium

AIIMS 2017 · Chemistry · Chemical Equilibrium

For the reaction, H_2+ I _2 leftharpoons 2 HI, K=47.6 . If the...

For the reaction, H2+\mathrm{H}_2+\mathrm{I}2⇌2HI,K=47.6_2 \rightleftharpoons 2 \mathrm{HI}, \mathrm{K}=47.6. If the initial number of moles of each reactant and product is 1 mole then at equilibrium

Options

  1. A\left[\mathrm{I}_2\right]=\left[\mathrm{H}_2\right],\left[\mathrm{I}_2\right]>[\mathrm{HI}]
  2. B\left[\mathrm{I}_2\right]=\left[\mathrm{H}_2\right],\left[\mathrm{I}_2\right] < [\mathrm{HI}]
  3. C\left[\mathrm{I}_2\right] < \left[\mathrm{H}_2\right],\left[\mathrm{I}_2\right]=[\mathrm{HI}]
  4. D\left[\mathrm{I}_2\right]>\left[\mathrm{H}_2\right],\left[\mathrm{I}_2\right]=[\mathrm{HI}]

Correct answer

B. \left[\mathrm{I}_2\right]=\left[\mathrm{H}_2\right],\left[\mathrm{I}_2\right] < [\mathrm{HI}]

Step-by-step solution

For the given reaction, K=\frac{[\mathrm{HI}]^2}{\left[\mathrm{H}_2\right]\left[\mathrm{I}_2\right]} As 1 mole of H2\mathrm{H}_2 reacts with 1 mole of I2\mathrm{I}_2, even at equilibrium, \left[\mathrm{H}_2\right]=\left[\mathrm{I}_2\right] Hence, K=\frac{[\mathrm{HI}]^2}{\left[\mathrm{I}_2\right]^2} \quad or \quad \sqrt{K}=\frac{[\mathrm{HI}]}{\left[\mathrm{I}_2\right]}=\sqrt{47.6} i.e., [\mathrm{HI}]>\left[\mathrm{I}_2\right]
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