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Process Calculations
Laws of Thermodynamics
GATE 2011
Medium

One mole of methane is contained in a leak proof piston-cylinder assembly at 8 bar and 1000K. The gas undergoes isothermal expansion to 4 bar under reversible conditions. Methane can be considered as an ideal gas under these conditions. R=8.314 J/mol.K. The heat transferred (in kJ) during the process is

  • A11.52
  • 5.76
  • C4.15
  • D2.38

Explanation

For an isothermal ideal gas process, ΔU=0, so Q=W=nRTln(P1/P2)=1×8.314×1000×ln(8/4)=8314×0.6931≈5761 J≈5.76 kJ.

Source: GATE CH 2011 (2011)

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