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Standad Gibbs energy of the reaction, ΔrGo at a certain temperature can be computed as ΔrGo=ΔrHo−TΔrSo and the change in the value of ΔrHo and ΔrSo for a reaction with temperature can be copmuted as follows : ΔrHoT2−ΔrHoT1=ΔrCop(T2−T1) ΔrSoT2−ΔrSoT1=ΔrCoplnT2T1 ΔrGo=ΔrHo−TΔrSo and by ΔrGo=−RTlnKeq Consider the following reaction, CO(g)+2H2(g)⇌CH3OH(g) Given : ΔfHo(CH3OH(g))=−201 kJ mol−1 ΔfHo(CO(g))=−114 kJ mol−1 So(CH3OH(g))=240 kJ mol−1 So(H2(g))=29 J K−1 mol−1 So(CO(g))=198 J mol−1 K−1 Cop, m(H2)=28.8 J/mol-K Cop, m(CO)=29.4 J/mol-K Cop, m(CH3OH)=44 J/mol-K and ln(320300)=0.06 All data were taken at 300 K. The ΔrGo (in kJ/mol) at 320 K is −x. Find the value of x. (Report the answer to the closest integer)

Answer» Standad Gibbs energy of the reaction, ΔrGo at a certain temperature can be computed as ΔrGo=ΔrHoTΔrSo and the change in the value of ΔrHo and ΔrSo for a reaction with temperature can be copmuted as follows :
ΔrHoT2ΔrHoT1=ΔrCop(T2T1)
ΔrSoT2ΔrSoT1=ΔrCoplnT2T1
ΔrGo=ΔrHoTΔrSo
and by ΔrGo=RTlnKeq
Consider the following reaction,
CO(g)+2H2(g)CH3OH(g)
Given : ΔfHo(CH3OH(g))=201 kJ mol1
ΔfHo(CO(g))=114 kJ mol1
So(CH3OH(g))=240 kJ mol1
So(H2(g))=29 J K1 mol1
So(CO(g))=198 J mol1 K1
Cop, m(H2)=28.8 J/mol-K
Cop, m(CO)=29.4 J/mol-K
Cop, m(CH3OH)=44 J/mol-K
and ln(320300)=0.06
All data were taken at 300 K.
The ΔrGo (in kJ/mol) at 320 K is x. Find the value of x. (Report the answer to the closest integer)


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