Calculate the change in Gibbs free energy for each of the following sets of H rx

Question

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

Part A

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

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Part B

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

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Part C

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

Express your answer using two significant figures.

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Part D

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 605 K

Express your answer using two significant figures.

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Part E

Predict whether or not the reaction in part A will be spontaneous at the temperature indicated.

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Part F

Predict whether or not the reaction in part B will be spontaneous at the temperature indicated.

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Part G

Predict whether or not the reaction in part C will be spontaneous at the temperature indicated.

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Part H

Predict whether or not the reaction in part D will be spontaneous at the temperature indicated.

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

Part A

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

Grxn =   kJ  

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Part B

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

Grxn =   kJ  

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Part C

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

Express your answer using two significant figures.

Grxn =   kJ  

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Part D

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 605 K

Express your answer using two significant figures.

Grxn =   kJ  

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Part E

Predict whether or not the reaction in part A will be spontaneous at the temperature indicated.

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Part F

Predict whether or not the reaction in part B will be spontaneous at the temperature indicated.

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Part G

Predict whether or not the reaction in part C will be spontaneous at the temperature indicated.

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Part H

Predict whether or not the reaction in part D will be spontaneous at the temperature indicated.

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Explanation / Answer

Recall that

dG = dH - T*dS is always valid, as long dH and dS do not chang ethat much in the Temperature interval

remember also that dS is given in J and dH in kJ so

dG = dH - T*dS/1000 is a better formula

A)

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

dG = dH - T*dS/1000 i

dG = 135 - 301*(-263)/1000

dG = 214.163 J/K

E) this must be non-spontaneous, since this is positive in dG value, meaning this favours reactants

B)

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

dG = dH - T*dS/1000 i

dG = -135 - 301*(263)/1000

dG = -214.163 J/K

F) this must bespontaneous, since this is negative in dG value, meaning this favours products

C)

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 301 K

dG = dH - T*dS/1000 i

dG = -135 - 301*(-263)/1000

dG = -55.837 J/K

G) this must bespontaneous, since this is negative in dG value, meaning this favours products

D)

Hrxn= 135 kJ ; Srxn= 263 J/K ; T= 605 K

dG = dH - T*dS/1000 i

dG = -135 - 605*(-263)/1000

dG = 24.115 J/K

E) this must be non-spontaneous, since this is positive in dG value, meaning this favours reactants

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