In which of the following equilibria, $\mathrm{K}_{\mathrm{p}}$ and $\mathrm{K}_{\mathrm{c}}$ are NOT equal?

In which of the following equilibria, $\mathrm{K}_{\mathrm{p}}$ and $\mathrm{K}_{\mathrm{c}}$ are NOT equal?
  1. $\mathrm{H}_{2(\mathrm{~g})}+\mathrm{I}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{HI}_{(\mathrm{g})}$
  2. $\mathrm{CO}_{(\mathrm{g})}+\mathrm{H}_2 \mathrm{O}_{(\mathrm{g})} \rightleftharpoons \mathrm{CO}_{2(\mathrm{~g})}+\mathrm{H}_{2(\mathrm{~g})}$
  3. $\quad 2 \mathrm{BrCl}_{(\mathrm{g})} \rightleftharpoons \mathrm{Br}_{2(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})}$
  4. $\mathrm{PCl}_{5(\mathrm{~g})} \rightleftharpoons \mathrm{PCl}_{3(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})}$

Solution

$\begin{aligned} & \mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{c}}(\mathrm{RT})^{\Delta \mathrm{n}_{\mathrm{g}}} \\ & \text { for } \mathrm{K}_{\mathrm{p}} \neq \mathrm{K}_{\mathrm{c}} \\ & \qquad \Delta \mathrm{n}_{\mathrm{g}} \neq 0 \\ & \Delta \mathrm{n}_{\mathrm{g}}=\mathrm{n}_{\mathrm{p}}-\mathrm{n}_{\mathrm{r}} \end{aligned}$ (1) $\Delta \mathrm{n}_{\mathrm{g}}=2-2=0$ (2) $\Delta \mathrm{ng}_{\mathrm{g}}=2-2=0$ (3) $\Delta \mathrm{ng}_{\mathrm{g}}=2-2=0$ (4) $\Delta \mathrm{ng}_{\mathrm{g}}=2-1=1$

Asked in: NEET 2024

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