Using the Otto cycle equations, we can calculate the thermal efficiency:

Keep in mind that these are just sample problems and solutions. For a complete and accurate solution manual, I recommend purchasing the official solution manual or accessing instructor resources.

η = 1 - (1/r^(γ-1)) = 1 - (1/8^(1.4-1)) ≈ 56.5%

Using the Brayton cycle equations, we can calculate the thermal efficiency: