Question

# Calculate the change in Gibbs free energy for each of the following sets of ΔHrxn, ΔSrxn,...

Calculate the change in Gibbs free energy for each of the following sets of ΔHrxn, ΔSrxn, and T.

Part A

ΔH∘rxn= 90. kJ , ΔSrxn= 152 J/K , T= 303 K

ΔG =   kJ

Part B

ΔH∘rxn= 90. kJ , ΔSrxn= 152 J/K , T= 750 K

ΔG =   kJ

Part C

ΔH∘rxn= 90. kJ , ΔSrxn=− 152 J/K , T= 303 K

ΔG =   kJ

Part D

ΔH∘rxn=− 90. kJ , ΔSrxn= 152 J/K , T= 407 K

ΔG =   kJ

Part A

ΔG∘ = ΔH∘-TΔS

ΔH∘rxn= 90. kJ , ΔSrxn= 152 J/K , T= 303 K

So ΔG∘ = = 90 X 1000 J - 303 X 152 = 43944 = 43.94 KJ

Part B

ΔG∘ = ΔH∘-TΔS

ΔH∘rxn= 90. kJ , ΔSrxn= 152 J/K , T= 750 K

ΔG∘ = 90 X 1000 - 750 X 152 = -24000 Joules = -24.00 KJ

PArt C

ΔG∘ = ΔH∘-TΔS

ΔH∘rxn= 90. kJ , ΔSrxn=− 152 J/K , T= 303 K

ΔG∘ = 90 X1000 - 303 (-152) = 136056 J = 136.06 KJ

Part D

ΔG∘ = ΔH∘-TΔS

ΔH∘rxn=− 90. kJ , ΔSrxn= 152 J/K , T= 407 K

ΔG∘ = -90 X 1000 - 407 (152) = -151864 J = -151.86 KJ

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