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Using ΔfH298\Delta_{\mathrm{f}} H_{298}^{\circ} And S298S_{298}^{\circ} Data Given Below Calculate the Standard Gibbs Energy Change

Question 28

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Using ΔfH298\Delta_{\mathrm{f}} H_{298}^{\circ} and S298S_{298}^{\circ} data given below:
CH4( g) O2( g) CO2( g) H2O(l) ΔfH298/kJmol174.80393.5285.8S298/JK1 mol1186.3205.1213.769.9\begin{array}{|l|l|l|l|l|}\hline & \mathrm{CH}_{4}(\mathrm{~g}) & \mathrm{O}_{2}(\mathrm{~g}) & \mathrm{CO}_{2}(\mathrm{~g}) & \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \\\hline \Delta_{\mathrm{f}} H_{298}^{\circ} / \mathrm{kJ} \mathrm{mol}^{-1} & -74.8 & 0 & -393.5 & -285.8 \\\hline S_{298}^{\circ} / \mathrm{J} \mathrm{K}^{-1} \mathrm{~mol}^{-1} & 186.3 & 205.1 & 213.7 & 69.9 \\\hline\end{array} Calculate the standard Gibbs energy change, ΔrG298\Delta_{r} G_{298}^{\circ} (kJ mol-1) , for the following reaction:
CH4 (g) + 2 O2 (g) → CO2 (g) + 2 H2O (l)


A) - 818.
B) + 71.5.
C) + 963.
D) - 963.

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