Answer:
4. 393.3 kJ/mol.
Explanation:
1. H2O(ℓ) → H2(g) + 1/2O2
∆H = 285.8 kJ/mol.
2. CH4(g) + 2O2(g) → CO2(g) + 2H2O(ℓ)
∆H = −890.0 kJ/mol.
3. CH4(g) → Cgraphite(s) + 2H2(g)
∆H = 74.9 kJ/mol.
Flipping and then multiplying Equation 1. by 2,
2H2(g) + O2 → 2 H2O(ℓ)
∆H = -571.6 kJ/mol.
Note: ∆H sign changes.
CO2(g) + 2 H2O(ℓ) → CH4(g) + 2O2(g)
∆H = 890.0 kJ/mol.
Adding all the equations and enthalpies together,
2H2(g) + O2 → 2H2O(ℓ)
CO2(g) + 2H2O(ℓ) → CH4(g) + O2(g)
CH4(g) → Cgraphite(s) + 2H2(g)
= CO2(g) → Cgraphite(s) + O2(g)
= (-571.6 + 890.0 + 74.9)
= 393.3 kJ/mol.