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Thermodynamics
First Law of Thermodynamics
GATE 2013
Medium

A cylinder contains 5 m³ of an ideal gas at a pressure of 1 bar. This gas is compressed in a reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this process is

  • 804.7
  • B953.2
  • C981.7
  • D1012.2

Explanation

For a reversible isothermal process on an ideal gas, W = P1V1·ln(V1/V2) = P1V1·ln(P2/P1) (since P1V1=P2V2). W = 100 kPa × 5 m³ × ln(5/1) = 500×1.6094 ≈ 804.7 kJ.

Source: GATE ME 2013 (Booklet Code A) (2013)

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