Question:

\(2\mathrm{SO_2(g)} + \mathrm{O_2(g)} \rightleftharpoons 2\mathrm{SO_3(g)}\)

In an equilibrium mixture, the partial pressures are

\(P_{\mathrm{SO_3}} = 43\) kPa; \(P_{\mathrm{O_2}} = 530\) Pa and \(P_{\mathrm{SO_2}} = 45\) kPa. The equilibrium constant \(K_P =\) ___________ \(\times 10^{-2}\). (Nearest integer)

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Write \(K_P = P_{SO_3}^2 / (P_{SO_2}^2 P_{O_2})\) and convert 530 Pa to 0.53 kPa before substituting.
Updated On: Nov 4, 2026
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Correct Answer: 172

Solution and Explanation

\(K_P = \dfrac{(P_{SO_3})^2}{(P_{SO_2})^2 \, P_{O_2}}\)
Convert \(P_{O_2} = 530\) Pa = 0.53 kPa.
\(K_P = \dfrac{(43)^2}{(45)^2 \times 0.53} = \dfrac{1849}{2025 \times 0.53} = \dfrac{1849}{1073.25} = 1.723\) kPa-1.
\(= 172.3 \times 10^{-2} \approx 172 \times 10^{-2}\).
Answer: 172
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