A vessel at 1000 K contains $\mathrm{CO}_2$ with a pressure of 0.5 atm. Some of $\mathrm{CO}_2$ is converted…

A vessel at 1000 K contains $\mathrm{CO}_2$ with a pressure of 0.5 atm. Some of $\mathrm{CO}_2$ is converted into CO on addition of graphite. If total pressure at equilibrium is 0.8 atm , then Kp is :
  1. 1.8 atm
  2. 0.3 atm
  3. 3 atm
  4. 0.18 atm

Solution

$\begin{array}{lc}\mathrm{CO}_2(\mathrm{~g})+\mathrm{C}(\mathrm{s}) \rightleftharpoons & 2 \mathrm{CO}(\mathrm{g}) \\ 0.5 & - \\ 0.5-\mathrm{x} & 2 \mathrm{x}\end{array}$
$\begin{aligned}\mathrm{P}_{\text {total }}=0.5+\mathrm{x}=0.8 \\ \mathrm{x}=0.3 \\ \mathrm{~K}_{\mathrm{P}}=\frac{(0.6)^2}{0.2}=1.8\end{aligned}$

Asked in: JEE Main 2025 (22 Jan Shift 1)

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