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Calculate DeltaG^(Theta) for the followi...

Calculate `DeltaG^(Theta)` for the following reaction:
`CO(g) +((1)/(2))O_(2)(g) rarr CO_(2)(g), DeltaH^(Theta) =- 282.84 kJ`
Given,
`S_(CO_(2))^(Theta)=213.8 J K^(-1) mol^(-1), S_(CO(g))^(Theta)= 197.9 J K^(-1) mol^(-1), S_(O_(2))^(Theta)=205.0 J K^(-1)mol^(-1)`,

Text Solution

Verified by Experts

`DeltaS^(@)=sumS_(("products"))^(@)-sumS_(("reactants"))^(@)`
`=[S_(CO_(2)))^(@)]-[S_(CO)^(@)+(1)/(2)S_(O_(2))^(@)]`
`=213.8-[197.9+(1)/(2)xx205]`
`=-86.6" J "K^(-1)`
According to Gibbs- Helmholtz equation,
`=-282.84-298xx(-86.6xx10^(-3))`
`=-282.84+25.807`
`=257.033kJ`
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