The value of \( K_{\mathrm{P}} \) for the reaction \( \mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g})...

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The value of \( K_{\mathrm{P}} \) for the reaction \( \mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2} \) is \( 640 \mathrm{~mm} \) at \( 775 \mathrm{~K} \). The percentage dissociation of \( \mathrm{N}_{2} \mathrm{O}_{4} \) at equilibrium pressure of \( 160 \mathrm{~mm} \) is
(a) \( \frac{100}{\sqrt{2}} \)
(b) 50
(c) \( \frac{50}{\sqrt{2}} \)
(d) \( 10 \sqrt{2} \)
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