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Calculate Delta(r)S(m)^(Theta) for the r...

Calculate `Delta_(r)S_(m)^(Theta)` for the reaction:
`4Fe(s)+3O_(2)(g) rarr 2Fe_(2)O_(3)(s)`
Given that `S_(m)^(Theta)(Fe) = 27.3J K^(-1) mol^(-1)`,
`S_(m)^(Theta)(O_(2)) = 205.0J K^(-1)mol^(-1)`and `S_(m)^(Theta)(Fe_(2)O_(3)) = 87.4 J K^(-1) mol^(-1)`.

Text Solution

Verified by Experts

For the reaction :
`4Fe(s) + 3O_(2)(g) to 2Fe_(2)O_(3)(s)`
`Delta_(r)S_(m)^(@) = 2S_(m)^(@)(FeO_(3)) - [4 xx S_(m)^(@)(Fe) + 3 xx S_(m)^(@)(O_(2))]`
` = 2 xx 87.4 - [4 xx 27.3 + 3 xx 205.0]`
` = -549.4 J K^(-1) "mol"^(-1)`.
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