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Calculate ΔG° for the reaction below under standard conditions at 25°C.  2S(s) + 3O2(g) + 2H2O(l) → 2H2SO4(l) ΔH° = -1056 kJ/molΔS° = -505 J/molHint: Pay attention to units of ΔH° and ΔS°

Question

Calculate ΔG° for the reaction below under standard conditions at 25°C.  2S(s) + 3O2(g) + 2H2O(l) → 2H2SO4(l) ΔH° = -1056 kJ/molΔS° = -505 J/molHint: Pay attention to units of ΔH° and ΔS°

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Solution

To calculate ΔG° for the reaction, we can use the Gibbs free energy equation:

ΔG° = ΔH° - TΔS°

Given in the problem, we have ΔH° = -1056 kJ/mol and ΔS° = -505 J/mol. However, we need to pay attention to the units. In the Gibbs free energy equation, ΔH° is in kJ/mol and TΔS° needs to be in the same units. Therefore, we need to convert ΔS° from J/mol to kJ/mol.

1 kJ = 1000 J, so ΔS° = -505 J/mol ÷ 1000 = -0.505 kJ/mol.

The temperature T is given as 25°C. We need to convert this to Kelvin because the standard unit of temperature in these equations is Kelvin.

T(K) = 25°C + 273.15 = 298.15 K.

Now we can substitute these values into the Gibbs free energy equation:

ΔG° = ΔH° - TΔS° ΔG° = -1056 kJ/mol - (298.15 K * -0.505 kJ/mol*K) ΔG° = -1056 kJ/mol - (-150.5 kJ/mol) ΔG° = -1056 kJ/mol + 150.5 kJ/mol ΔG° = -905.5 kJ/mol

So, the standard Gibbs free energy change for the reaction is -905.5 kJ/mol.

This problem has been solved

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