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4. (20) A stoichiometric mixture of CO and O2 enters a reactor at 100 oC. CO2, CO and O2 leave the reactor in chemical equilibrium at 1527 oC and 2 atm. Calculate the partial pressures of CO2, CO and O2 in the products.
CO + ½ O2 = CO2: ΔGo373K = -250.8 kJ
CO + ½ O2 = CO2: ΔGo1800K = -127.4 kJ
Data provided
G0 ( 373 K ) = -250.8 KJ = -250800 J
G0 ( 1800 K ) = -127.4 KJ = - 127400 J
Reaction
CO + ½ O2 = CO2
Products leave the reactor at 1800 K
free energy can be given as
G0 = - RT ln ( K )
here
R = gas constant = 8.314 J /mol K
T = temperature K
K = equilibrium constant of a reaction for stoichiometry
Rearranging above equation