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A vessel at 1000 K contains carbon dioxide with a pressure of 0.5 atm. Some of carbon dioxide is converted into carbon m…

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A vessel at 1000 K contains carbon dioxide with a pressure of 0.5 atm. Some of carbon dioxide is converted into carbon monoxide on addition of graphite. If total pressure at equilibrium is 0.8 atm, then \({\mathrm{K}}_{\mathrm{p}}\) is

[JEE Main 2025, 22 Jan (Shift 1)]

a

3 atm

b

1.8 atm

c

0.18 atm

d

0.3 atm

✓ Correct answer: b)

1.8 atm

Explanation

\({\mathrm{CO}}_{2}\left(\mathrm{g}\right)+\mathrm{C}\left(\mathrm{s}\right)⇌2\mathrm{CO}\left(\mathrm{g}\right)\\ 0.5-\\ 0.5-\mathrm{x}2\mathrm{x}\\ {\mathrm{P}}_{\mathrm{T}}=0.5+\mathrm{x}=0.8\\ \mathrm{x}=0.8-0.5=0.3\\ {\mathrm{K}}_{\mathrm{P}}=\frac{{(0.6)}^{2}}{0.2}=1.8\)

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