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  • For the following three reactions (i), (ii) and (iii), equilibrium constants are given <img alt="\mathrm{ (i)\: CO_{(g)}+H_{2}O_{(g)}\rightleftharpoons CO_{2(g)}+H_{2(g)};K_{1}}" src="htt

For the following three reactions (i), (ii) and (iii), equilibrium constants are given

\mathrm{ (i)\: CO_{(g)}+H_{2}O_{(g)}\rightleftharpoons CO_{2(g)}+H_{2(g)};K_{1}}

\mathrm{(ii)\: CH_{4(g)}+H_{2}O_{(g)}\rightleftharpoons CO_{(g)}+3H_{2(g)};K_{2}}

\mathrm{(iii)\: CH_{4(g)}+2H_{2}O_{(g)}\rightleftharpoons CO_{2(g)}+4H_{2(g)};K_{3}}

Which of the following relation is correct ?

 

Option: 1

\mathrm{K_{3} \cdot K_{2}^{3}=K_{1}^{2}}


Option: 2

\mathrm{K_{1} \sqrt{K_{2}}=K_{3}}


Option: 3

\mathrm{K_{2} K_{3}=K_{1}}


Option: 4

\mathrm{K_{3}=K_{1} K_{2}}


Answers (1)

best_answer

\mathrm{CO_{(g)}+H_{2}O_{(g)} \rightleftharpoons CO_{2(g)}+H_{2(g)}}

\mathrm{K_{1}=\frac{\left [ CO_{2} \right ]\left [ H_{2} \right ]}{\left [ CO \right ]\left [ H_{2}O \right ]}\; \;} ...........(i)

\mathrm{CH_{4(g)}+H_{2}O_{(g)}\rightleftharpoons CO_{(g)}+3H_{2(g)}}

\mathrm{K_{2}=\frac{\left [ CO \right ]\left [ H_{2} \right ]^{3}}{\left [ CH_{4} \right ]\left [ H_{2}O \right ]}\; \; }...........(ii)

\mathrm{CH_{4(g)}+2H_{2}O_{(g)}\rightleftharpoons CO_{2(g)}+4H_{2(g)}}

\mathrm{K_{3}=\frac{\left [ CO_{2} \right ]\left [ H_{2} \right ]^{4}}{\left [ CH_{4} \right ]\left [ H_{2}O \right ]^{2}}\; \;} ...........(iii)

From equations (i),(ii)\, and\, (iii)\, ;\,\mathrm{ K_{3}=K_{1}\times K_{2}}

Hence, the correct answer is Option (4)

Posted by

seema garhwal

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