The balanced equation is CH4(g) + 2O2(g) ---> 2H2O(g) + CO2 (g)
Given the equation: delta G = delta H - T(delta S)
Since the values of both G and H are so similar, the only plausible conclusion would be that the reactants and products are roughly the same. Therefore, delta S must be a number very close to zero so that any increase/decrease in temperature won't affect the
