Gibbs Free Energy Example

Calculate the standard free energy change, ##\triangle##G##^\circ##, for the following reaction. Is the reaction spontaneous?
CH##_4## (g) + 2 O##_2## (g) ##\longrightarrow## CO##_2## (g) + 2 H##_2##O (l)
Values of standard molar entropy, S##_{f}^\circ## are as follows: CH##_4## (g), 186 J/(K*mol); O##_2## (g), 205 J/(K*mol); CO##_2## (g), 213.6 J/(K*mol); 2 H##_2##O (l), 69.9 J/(K*mol)
##\triangle##H##^\circ## for this reaction is -890.3 kJ