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Q. For the water gas reaction, $ C(s)+{{H}_{2}}O(g)CO(g)+{{H}_{2}}O(g) $ the standard Gibbs energy at 1000 K is $ -8.1\text{ }kJ\,mo{{l}^{-1}} $ . What is its equilibrium constant?

JamiaJamia 2010

Solution:

$ \Delta G{}^\circ =-2.303\text{ }RT\text{ }log\text{ }K $ or $ \log K=\frac{-\Delta G{}^\circ }{2.303RT} $ $ \log K=\frac{-8.1}{2.303\times 8.314\times {{10}^{-3}}\times 1000} $ $ =0.423 $ or $ K=2.64 $