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For the reaction, $A(g)+B(g) \to C(g)+D(g), \; \Delta H^0$ and $\Delta S^0$ are,respectively, $−29.8\; kJ\; mol^{−1}$ and $−0.100\; kJ K^{−1} mol^{−1}$ at $298\; K$. The equilibrium constant for the reaction at $298\; K$ is :

$\begin{array}{1 1}(1)1.0 \times 10^{-10} \\ (2) 1.0 \times 10^{10} \\ (3) 10 \\ (4) 1 \end{array} $

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