One mole of $\mathrm{A}(\mathrm{g})$ is heated to $\mathrm{T}(\mathrm{K})$ till the following equilibrium is…

One mole of $\mathrm{A}(\mathrm{g})$ is heated to $\mathrm{T}(\mathrm{K})$ till the following equilibrium is obtained $\mathrm{A}(\mathrm{g}) \stackrel{\mathrm{T}(\mathrm{K})}{\rightleftharpoons} \mathrm{B}(\mathrm{g})$ The equilibrium constant of this reaction is $10^{-1}$. After reaching the equilibrium, 0.5 moles of $\mathrm{A}(\mathrm{g})$ is added and heated. The equilibrium is again established. The value of $\frac{[\mathrm{A}]}{[\mathrm{B}]}$ is
  1. $10^{-1}$
  2. 10
  3. $10^{-2}$
  4. 100

Solution

$\mathrm{K}_{\mathrm{C}}=\frac{[\mathrm{B}]}{[\mathrm{A}]}=10^{-1}$ or $\frac{1}{10}$ Since $\mathrm{K}_{\mathrm{C}}$ remains constant at a given temperature, the value of $\frac{[\mathrm{B}]}{[\mathrm{A}]}$ will still be the same. $\Rightarrow \frac{[\mathrm{B}]}{[\mathrm{A}]}=\frac{1}{10} \Rightarrow \frac{[\mathrm{A}]}{[\mathrm{B}]}=10$

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

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