If the equilibrium $\mathrm{N_2(g)} + 3\mathrm{H_2(g)} \rightleftharpoons 2\mathrm{NH_3(g)}$ has equilibrium constant $K_c$, what is $K'_c$ for the REVERSE reaction $2\mathrm{NH_3(g)} \rightleftharpoons \mathrm{N_2(g)} + 3\mathrm{H_2(g)}$?
A$K_c$ (the same value)
B$1 / K_c$
C$K_c^{1/2}$
D$(K_c)^{-2}$
Answer & Solution
Correct answer: B. $1 / K_c$
1. For the forward reaction: $K_c = \dfrac{[\mathrm{NH_3}]^2}{[\mathrm{N_2}][\mathrm{H_2}]^3}$.
2. For the reverse reaction, swap reactants and products: $K'_c = \dfrac{[\mathrm{N_2}][\mathrm{H_2}]^3}{[\mathrm{NH_3}]^2}$.
3. The reverse expression is the RECIPROCAL of the forward: $K'_c = 1/K_c$.
4. This is a general result for any reversible reaction (NCERT §6.4, Table 6.4 row 2): reversing the reaction takes the reciprocal of $K$.
5. Option A would only be true for $K_c = 1$ (a special case). Option C and D apply to multiplied-by-$n$ or squared reactions, not reversal.
_Source: NCERT Class 11 Chemistry, Ch 6, §6.4 + Table 6.4 (reversal row), p. 9–10._
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