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Gibbs Free Energy & Spontaneity

At 298 K , K ...

Question

At 298 K, $K_{p}$ for reaction $N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$ is 0.98. Predict whether the reaction is spontaneous or not.

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Solution

For the reaction, $N_{2} O_{4} (g) ⇌ 2 N O_{2} (g), K_{p} = 0.98$
As we know that $Δ_{r} G^{⊖} = - 2.303 RT log K_{p}$
Here, $K_{p}$ = 0.98 i.e., $K_{p}$ < 1 therefore, $Δ_{r} G^{\circ}$ is positive, hence the reaction is non-spontaneous.

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