Prof. Timothy Minton of Montana State University presented a seminar on his stud

Question

Prof. Timothy Minton of Montana State University presented a seminar on his study of atomic oxygen reaction with graphitic and vitreous carbon surfaces. He evoked the Boudouard reaction to interpret the changes of CO/CO2 time-of-flight spectra. The Boudouard reaction, 2CO(g) = CO2(g) + C(s), is said to be entropy-driven

a.) Given the standard formation of enthalpy of CO and CO2 is -110.5 and -393.5 kJ/mol and their standard entropy is 197.7 and 213.7 J/mol*K, respectively, determine the partial pressures of CO and CO2 in a container with a total pressure of 1 bar.

b.) Determine the temperature at which pCO2 = sqr(pCO)

Explanation / Answer

2CO(g) = CO2(g) + C(s)

2CO(g) = CO2(g) + C(s)

HRXN = (SUM OF Hf,PRODUCTS) - (SUM OF Hf , REACTANTS)

= -393.5 - (-110.5)= -283 KJ

SRXN = (SUM OF Sf,PRODUCTS) - (SUM OF Sf , REACTANTS)

           = 213.7 - 197.7 = 16 J

G = H - T S

TEMPERATURE IS NOT GIVEN , TAKING STANDARD TEMPERATURE AS 27oC

G = -283 - 300X16/1000 =-287.8 KJ

G = -2.303RTlog(Pco2/(Pco)2 )

-287.8x1000 = -2.303x8.314x300log(Pco2/(Pco)2 )

log(Pco2/(Pco)2 ) = 50.1

Pco2 + Pco = 1 bar

solving above two equations we can get Individual partial pressures.

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