for the process delta H for A to X = 50kj
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For a reaction to be endothermic we have ΔH>0
For the reaction to be spontaneous we have ΔG<0
Consider case 1
ΔH=-50kJ ΔS=+100J/K=+0.1kJ/K at 400 K
According to Gibb's free energy we have
ΔG=ΔH-TΔS
=-50kJ-400*0.1kJ
=-90kJ
The reaction is spontaneous but exothermic.
Consider case 2
ΔH=-50kJ ΔS=-100J/K=0.1kJ/K at 400K
According to Gibb's free energy we have
ΔG=ΔH-TΔS
=-50kJ-400*(-0.1)k.J
=-10k.J
Consider case 3
ΔH=+50kJ ΔS=+100 J/K =+0.1kJ/K at 600 K
According to Gibb's free energy we have
ΔG=ΔH-TΔS
=50kJ-600*(0.1)kJ
=-10k J
Case 4
The reaction is non-spontaneous but endothermic
Case 5
The reaction is equilibrium
so case 3 satisfies the condition of spontaneous and endothermic reaction.
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