Answer:
ΔH° = -3790 kJ
Explanation:
Let's consider the combustion of butane.
2 C₄H₁₀(g) +13 O₂(g) → 8 CO₂(g) + 10 H₂O(g)
We can find the standard enthalpy of this combustion reaction (ΔH°) using the following expression.
ΔH° = ∑np × ΔH°f(p) - ∑nr × ΔH°f(r)
where,
n: mole
ΔH°f(): standard enthalpy of formation
p: product
r: reactant
ΔH° = 8 mol × ΔH°f(CO₂(g)) + 10 mol × ΔH°f(H₂O(g)) - 2 mol × ΔH°f(C₄H₁₀(g)) - 13 mol × ΔH°f(O₂(g))
ΔH° = 8 mol × (-393.5 kJ/mol) + 10 mol × (-241.8 kJ/mol) - 2 mol × (-888.0 kJ/mol) - 13 mol × 0
ΔH° = -3790 kJ
Given ΔH° < 0, the reaction is exothermic.
2 C₄H₁₀(g) +13 O₂(g) → 8 CO₂(g) + 10 H₂O(g) + 3790 kJ