GATE XE (Engineering Sciences) 2025 - Question 75

Section: Thermodynamics | Marks: 2

For an ideal gas turbine cycle, 𝑇1 and 𝑇3 are the compressor inlet temperature and turbine inlet temperature respectively. The ratio 𝑇3 𝑇1 is denoted by 𝑡 and the ratio of specific heats is denoted by 𝛾. For any given 𝑡, the optimum pressure ratio for the maximum specific work output is

• A. 𝑡 2 (𝛾−1)
• B. 𝑡 𝛾 2(𝛾−1)
• C. 𝑡 𝛾 (𝛾−1)
• D. 𝑡 𝛾−1 𝛾

Answer: B. 𝑡 𝛾 2(𝛾−1)