The thermal efficiency of an ideal gas turbine cycle can be calculated using the formula:

η = 1 - (1/r^(γ-1))

where:
η is the thermal efficiency,
r is the pressure ratio, and
γ is the heat capacity ratio, which is approximately 1.4 for air.

Given that the overall pressure ratio r is 8, we can substitute these values into the formula:

η = 1 - (1/8^(1.4-1))

Solving this equation gives a thermal efficiency of approximately 0.433 or 43.3%.

Therefore, the closest answer is b. 45%.

Question

The thermal efficiency of an ideal gas turbine cycle can be calculated using the formula:

η = 1 - (1/r^(γ-1))

where:
η is the thermal efficiency,
r is the pressure ratio, and
γ is the heat capacity ratio, which is approximately 1.4 for air.

Given that the overall pressure ratio r is 8, we can substitute these values into the formula:

η = 1 - (1/8^(1.4-1))

Solving this equation gives a thermal efficiency of approximately 0.433 or 43.3%.

Therefore, the closest answer is b. 45%.

Knowee AI · Accepted Answer

The thermal efficiency of an ideal gas turbine cycle can be calculated using the formula:

η = 1 - (1/r^(γ-1))

where:
η is the thermal efficiency,
r is the pressure ratio, and
γ is the heat capacity ratio, which is approximately 1.4 for air.

Given that the overall pressure ratio r is 8, we can substitute these values into the formula:

η = 1 - (1/8^(1.4-1))

Solving this equation gives a thermal efficiency of approximately 0.433 or 43.3%.

Therefore, the closest answer is b. 45%.

Question