Answer is: the ΔH of the reaction is -2486.3 kJ.
Chemical reaction 1: H₂(g) + F₂(g) → 2HF(g) ΔH₁ = –537 kJ.
Chemical reaction 2: C(s) + 2F₂(g) → CF₄(g) ΔH₂ = –680 kJ.
Chemical reaction 3: 2C(s) + 2H₂(g) → C₂H₄(g) ΔH₃ = +52.3 kJ.
Chemical reaction 4: C₂H₄(g) + 6F₂(g) → 2CF₄(g) + 4HF(g) ΔH₄ = ?
Using Hess's law:
ΔH₄ = 2ΔH₁ + 2ΔH₂ - ΔH₃.
ΔH₄ = 2 · (-537 kJ) + 2 · (-680 kJ) - 52.3 kJ.
ΔH₄ = -2486.3 kJ.