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Process Calculations
Laws of Thermodynamics
GATE 2015
Hard

gR/RT=∫0^P(vR/RT)dP. At T=27°C, P=0.2MPa, virial EOS z=1+BP/RT, B=−10⁻⁴ m³/mol, R=8.314 J/mol·K. gR (J/mol) is

  • A0.008
  • B−2.4
  • C20
  • −20

Explanation

vR=v−v_ig=B (constant). gR/RT=∫0^P(B/RT)dP=BP/RT=(−10⁻⁴×200000)/(8.314×300.15)=−20/2495.4=−0.00801. gR=RT×(−0.00801)=−20 J/mol.

Source: GATE CH 2015 (2015)

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