Air enters an adiabatic compressor at 300K. The exit temperature for a compression ratio of 3, assuming air to be an ideal gas (Y = Cp/Cv = 7/5) and the process to be reversible, is___________________?
Correct answer: A. 300 × (32/7)
- A. 300 × (32/7)
- B. 300 × (33/5)
- C. 300 × (333/7)
- D. 300 × (35/7)
Explanation
For reversible adiabatic compression, T₂/T₁ = (P₂/P₁)^((γ−1)/γ) = 3^(2/7), since γ = 7/5. Thus T₂ = 300 × 3^(2/7), represented by option a.
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