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Thermodynamics
First Law of Thermodynamics
GATE 2011
Medium

An ideal Brayton cycle, operating between the pressure limits of 1 bar and 6 bar, has minimum and maximum temperatures of 300 K and 1500 K. The ratio of specific heats of the working fluid is 1.4. The approximate final temperatures in Kelvin at the end of the compression and expansion processes are respectively

  • 500 and 900
  • B900 and 500
  • C500 and 500
  • D900 and 900

Explanation

Compression (300K, 1bar→6bar): T2=T1(P2/P1)^((γ-1)/γ)=300×6^(0.2857)≈300×1.668≈500K. Expansion (1500K, 6bar→1bar): T4=T3(P1/P2)^((γ-1)/γ)=1500×(1/6)^0.2857≈1500/1.668≈900K.

Source: GATE ME 2011 (2011)

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