Question

Air enters the compressor of a gas turbine plant operating on Brayton cycle at 1 bar and 27∘C. The pressure ratio in the cycle is 6 . Calculate the maximum temperature in the cyck and the cycle efficiency. Assume the turbine work as 2.5 times the compressor work. Take γ=1.4

Answer 1

To calculate the maximum temperature in the cycle of a gas turbine plant operating on the Brayton cycle, use the equation Tmax = Th * (p2/p1)^((gamma-1)/gamma), and to calculate the cycle efficiency, use the equation η = 1 - (1/γ) * (p1/p2)^((γ-1)/γ).

Step-by-step explanation:

The maximum temperature in the cycle of a gas turbine plant operating on the Brayton cycle can be calculated using the equation:

Tmax = Th * (p2/p1)^((gamma-1)/gamma)

where Tmax is the maximum temperature, Th is the initial temperature, p2 is the final pressure, p1 is the initial pressure, and gamma is the heat capacity ratio. In this case, we are given Th as 27°C (or 300 K), p1 as 1 bar, and a pressure ratio of 6. Plugging in these values, we can calculate Tmax. The cycle efficiency, given the turbine work is 2.5 times the compressor work, can be calculated using the equation:

η = 1 - (1/γ) * (p1/p2)^((γ-1)/γ).

Using the given values, we can calculate the cycle efficiency.