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Process Calculations
Laws of Thermodynamics
GATE 2011
Medium

The partial molar enthalpies of mixing (in J/mol) for benzene (component 1) and cyclohexane (component 2) at 300K and 1 bar are given by ΔH̄1=3600x2² and ΔH̄2=3600x1², where x1 and x2 are the mole fractions. When ONE mole of benzene is added to TWO moles of cyclohexane, the enthalpy change (in J) is

  • A3600
  • 2400
  • C2000
  • D800

Explanation

Total moles=3, x1=1/3, x2=2/3. ΔHmix=n1·ΔH̄1+n2·ΔH̄2=1×3600×(2/3)²+2×3600×(1/3)²=1600+800=2400 J.

Source: GATE CH 2011 (2011)

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