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Question

The ΔfG for (NH4Cl,s) at 310 K is x kJ mol1.
Given: ΔfH(NH4Cl,s)=314.5 kJ mol1;ΔrCP=0SN2(g)=192 J K1 mol1; SH2(g)=130.5 J K1 mol1SCl2(g)=223 J K1mol1; SNH4Cl(s)=99.5 J K1 mol1
All given data at 300 K. Find the magnitude of x.

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Solution

ΔfS(NH4Cl,s) at 300 K=SNH4Cl(s)[12SN2+2SH2+12SCl2]=369 J K1 mol1ΔrCp=0ΔfS310=ΔfS300=369 J K1 mol1ΔfH310=ΔfH300=314.5 kJ K1 mol1By using formulaΔG=ΔHTΔSΔfG310=ΔfH310×ΔS=314.5310×(369)1000=200.11 kJ mol1
Hence, x=200.11

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