Project ForgeProcess Calculations
Vapor-Liquid Equilibrium
GATE 2013
Hard
A binary liquid mixture is in equilibrium with its vapor at a temperature T=300K. The liquid mole fraction x1 of species 1 is 0.4 and the molar excess Gibbs free energy is 200 J/mol. R=8.314 J/mol-K, and γi denotes the liquid-phase activity coefficient of species i. If ln(γ1)=0.09, then the value of ln(γ2), up to 2 digits after the decimal point, is _____
0.07(± 0.02 accepted)
Explanation
GE=RT(x1lnγ1+x2lnγ2). 200=8.314×300×(0.4×0.09+0.6×lnγ2). 200/2494.2=0.0802=0.036+0.6lnγ2. 0.6lnγ2=0.0442. lnγ2=0.0737≈0.07.
Source: GATE CH 2013 (2013)
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