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Calculate the change of entropy, Delta(r...

Calculate the change of entropy, `Delta_(r)S^(Theta)` at `298K` for the reaction in which urea is formed from `NH_(3)` and `CO_(2)`.
`2NH_(3)(g)+CO_(2)(g) rarr NH_(2)CONH_(2)(aq)+H_(2)O(l)`
The standard entropies `(J K^(-1)mol^(-1))` are:
`NH_(2)CONH_(2)(aq) =174.0, H_(2)O(l) = 69.9`
`NH_(3)(g) = 192.3, CO_(2)(g) = 213.7`

Text Solution

Verified by Experts

The correct Answer is:
`-354.4 J K^(-1) "mol"^(-1)`
`Delta_(r)S^(@) = S^(@) (NH_(2)CONH_(2)) + S^(@)(H_(2)O)- [2S^(@)(NH_(3)) + S^(@)(CO_(2))]`
` = 174.0 + 69.8 - [2 xx 192.3 + 213]`
` = -354.4 J K^(-1) "mol"^(-1)`.
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