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Variable Oxidation States

Which of the ...

Question

Which of the following is correct when the following equilibrium is established when C and water is placed in a container?
$C (s) + H_{2} O (g) ⇌ C O (g) + H_{2} (g)$

P_{H_{2}} \propto P_{H_{2} O}

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P_{H_{2}} \propto \sqrt{P_{H_{2} O}}

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P_{H_{2}} \propto P_{H_{2} O}^{2}

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P_{H_{2}} \propto \frac{P_{H_{2} O}^{2}}{P_{C O}}

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Solution

The correct option is B $P_{H_{2}} \propto \sqrt{P_{H_{2} O}}$
The given reaction is
$C (s) + H_{2} O (g) ⇌ C O (g) + H_{2} (g)$ $K_{P} = \frac{P_{C O (g)} P_{H_{2} (g)}}{P_{H_{2} O (g)}}$
As, $P_{c o (g)} = P_{H_{2} (g)})$
$K_{P} = \frac{P_{H_{2} (g)}^{2}}{P_{H_{2} O (g)}}$
$P_{H_{2} (g)}^{2}$ = $K_{p}$ $P_{H_{2} O}$
$P_{H_{2}} \propto \sqrt{P_{H_{2} O}}$
So, option (b) is correct.

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