The value of K_p for the reaction, A(g)+2 B(g) $\rightleftharpoons$ C(g) is 25 atm $^{-2}$ at a certain temperature. The value of K_p for the reaction, $\frac{1}{2} C(g) \rightleftharpoons \frac{1}{2} A(g)+B(g)$ at the same temperature would be :
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The value of $K_{p}$ for the reaction, $A(g)+2 B(g) \rightleftharpoons C(g)$ is 25 atm $^{-2}$ at a certain temperature. The value of $K_{p}$ for the reaction, $\frac{1}{2} C(g) \rightleftharpoons \frac{1}{2} A(g)+B(g)$ at the same temperature would be :

(A) $25 atm ^{-1}$

(B) $\frac{1}{25} atm ^{-1}$

(C) $\frac{1}{5} atm$

(D) $5 atm$

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The value of $K_{p}$ for the reaction, $\frac{1}{2} C(g) \rightleftharpoons \frac{1}{2} A(g)+B(g)$ at the same temperature would be $\frac{1}{5} atm$.

So, The correct option of this question will be (C).

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