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The entropy $\;(S^{0})\;$ of the following substances are :\[\]$\;CH_{4}\;(g)\;186.2\;JK^{-1}mol^{-1}\;$\[\]$\;O_{2}\;(g)\;205.0\;JK^{-1}mol^{-1}\;$\[\]$\;CO_{2}\;(g)\;213.6\;JK^{-1}mol^{-1}\;$\[\]$\;H_{2}O\;(l)\;69.9\;JK^{-1}mol^{-1}\;$\[\]The entropy change $\;(\bigtriangleup S^{0})\;$ for the reaction\[\]$\;CH_{4}(g) + 2O_{2}(g) \to CO_{2}(g) +2H_{2}O(l) \;$ is :

$(a)\;-312.5\;JK^{-1}mol^{-1} \qquad(b)\;-242.8\;JK^{-1}mol^{-1}\qquad(c)\;-108.1\;JK^{-1}mol^{-1}\qquad(d)\;-37.6\;JK^{-1}mol^{-1}$

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