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Question: Answered & Verified by Expert
In the synthesis of ammonia
$\mathrm{N}_{2}+3 \mathrm{H}_{2}=2 \mathrm{NH}_{3}$ $a, K=K_{C} R T$
ChemistryChemical EquilibriumCOMEDKCOMEDK 2019
Options:
  • A $K_{p}=K_{C} R T$
  • B $K_{p}=K_{C}$
  • C $K_{p}=K_{C}(R T)^{-2}$
  • D $K_{p}=K_{C}(R T)^{-1}$
Solution:
2710 Upvotes Verified Answer
The correct answer is: $K_{p}=K_{C}(R T)^{-2}$
For the following reaction,
$$
\begin{gathered}
\mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_{3}(g) \\
\Delta n=\text { number of moles of product in gaseous state } \\
-\text { number of moles of reactant in gaseous state } \\
=2-(3+1)=-2 \\
\because \quad K_{p}=K_{C}(R T)^{\Delta n}
\end{gathered}
$$
$\therefore \quad K_{p}=K_{C}(R T)^{-2}$

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