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Using listed informations, calculate Del...

Using listed informations, calculate `Delta_(r)G^(@)` (in kJ/mol) at `27^(@)C`
`Co_(3)O_(4)(s)+4CO(g)rarr3Co(s)+4CO_(2)(g)`
Given : At 300 K `DeltaH_(f)^(@)(kJ//mol)-891,-110.5,0.0,-393.5`
`S^(@)(J//K.mol)102.5, 197.7, 30.0, 213.7`

A

`-214.8`

B

`-195.0`

C

`-200.3`

D

-256.45

Text Solution

Verified by Experts

The correct Answer is:
D
`Delta_(r)H^(@)=3.Delta_(f)H^(@)(CO,s)+4Delta_(f)H^(@)(CO_(2),g)`
`-Delta_(f)H^(@)(Co_(3)O_(4),s)-4.Delta_(f)H^(@)(CO,g)`
`Delta_(r)H^(@)=-"241 kJ/mol"`
`Delta_(r)S^(@)=3xx30+4xx213.7-102.5-4xx197.7`
= 51.5 J/K-mol
`therefore" "Delta_(r)G^(@)=Delta_(r)H^(@)-T.Delta_(r)S^(@)`
`=-241-(300xx51.5)/(1000)`
`=-256.45"kJ/mol"`
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