| Consider the reactions |
| (i) \[CO(g)+{{H}_{2}}O(g)C{{O}_{2}}(g)+{{H}_{2}}(g)\] |
| (ii) \[C{{H}_{4}}(g)+{{H}_{2}}O(g)CO(g)+3{{H}_{2}}(g)\] |
| (iii) \[C{{H}_{4}}(g)+2{{H}_{2}}O(g)C{{O}_{2}}(g)+4{{H}_{2}}(g)\] |
| Which of the following is correct? |
A) \[{{K}_{3}}={{K}_{1}}/{{K}_{2}}\]
B) \[{{K}_{3}}=K_{1}^{1}/K_{2}^{3}\]
C) \[{{K}_{3}}={{K}_{1}}.{{K}_{2}}\]
D) \[{{K}_{3}}={{K}_{1}}.\sqrt{{{K}_{2}}}\]
Correct Answer: C
Solution :
| [c] \[{{K}_{1}}=\frac{[C{{O}_{2}}][{{H}_{2}}]}{[CO][{{H}_{2}}O]},{{K}_{2}}=\frac{[CO]{{[{{H}_{2}}]}^{3}}}{[C{{H}_{4}}][{{H}_{2}}O]}\] |
| \[{{K}_{3}}=\frac{[C{{O}_{2}}]{{[{{H}_{2}}]}^{4}}}{[C{{H}_{4}}]{{[{{H}_{2}}O]}^{2}}}\] |
| \[\frac{{{K}_{1}}\times {{K}_{2}}}{{{K}_{3}}}=1\] |
| \[{{K}_{1}}\times {{K}_{2}}={{K}_{3}}\] |
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