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Question

Zinc reacts with dilute hydrochloric acid to give hydrogen gas at 17 oC. The enthalpy change of the reaction is −12.55 kJ mol−1 and entropy change equals to 5.0 J K−1 mol−1 for the reaction. Calculate the free energy change and predict whether the reaction is spontaneous or not.

A
14.00 kJ mol1, spontaneous
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B
18.00 kJ mol1, spontaneous
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C
14.00 kJ mol1, non-spontaneous
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D
18.00 kJ mol1, non-spontaneous
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Solution

The correct option is A 14.00 kJ mol1, spontaneous
Given, H=12.55 kJmol1
S=5.0 JK1mol1
=0.005 kJK1mol1
T=17+273=290 K
And Gibbs free energy is given as
G=HT S
=12.550.005×290
=12.551.45
=14.00 kJ mol1
the free energy change is equals to 14.00 kJ mol1
Since, G is negative, the reaction will be spontaneous.

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