WBJEE · Chemistry · Chemical Equilibrium
If the equilibrium constants of the following equilibria
\(\mathrm{SO}_2+\frac{1}{2} \mathrm{O}_2 \rightleftharpoons \mathrm{SO}_3 \text { and } 2 \mathrm{SO}_3 \rightleftharpoons 2 \mathrm{SO}_2+\mathrm{O}_2\)
are given by \(\mathrm{K}_1\) and \(\mathrm{K}_2\) respectively, which of the following relations is correct
- A \(\mathrm{K}_2=\left(\frac{1}{\mathrm{~K}_1}\right)^2\)
- B \(K_1=\left(\frac{1}{K_2}\right)^3\)
- C \(K_2=\left(\frac{1}{K_1}\right)\)
- D \(K_2=\left(K_1\right)^2\)
Answer & Solution
Correct Answer
(A) \(\mathrm{K}_2=\left(\frac{1}{\mathrm{~K}_1}\right)^2\)
Step-by-step Solution
Detailed explanation
Hints: \(\mathrm{K}_1=\frac{\left[\mathrm{SO}_3\right]}{\left[\mathrm{SO}_2\right]\left[\mathrm{O}_2\right]^{1 / 2}}\) \(\mathrm{K}_2=\frac{\left[\mathrm{SO}_2\right]^2\left[\mathrm{O}_2\right]}{\left[\mathrm{SO}_3\right]^2}\) Thus…
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