The Δ H value for butane (g) is -124.7 kJ/mol.
The Δ H value for CO2 (g) is -393.5 kJ/mol.
The Δ H value for H2O (g) is -241.8 kJ/mol.
The mass of butane is 8.30 grams.
Butane has a molar mass of 58 g/mol.
Considering the reaction,
C₄H₁₀ + 6.5 O₂ = 4CO₂ + 5H₂O
To determine the Δ H° of the reaction:
ΔH°rxn = ∑nH° f (products) - ∑nH° f (reactants)
By substituting values, we find that
Δ H° rxn = 4 (-393.5) + 5 (-241.8) - (-124.7)
= -1574 -1209 + 124.7
= -2783 - 124.7
= -2658.3 kJ/mol
Now, we will calculate how many moles of butane are in 8.30 grams.
Number of moles = mass/molar mass
= 8.30 / 58
= 0.143 moles
Therefore, the total energy released during the reaction is given by,
Q = number of moles × ΔH° rxn
= 0.143 × (2658.3)
= 380.14 kJ
Thus, the total heat released in the reaction is 380.14 kJ.