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Calculate standard entropy change in the...

Calculate standard entropy change in the reaction `Fe_(2)O_(3(s)) + 3H_(2(g)) rarr 2Fe_((s)) + 3H_(2)O_((l))`
Given: `S_(m)^(0) (Fe_(2)O_(3), s) = 87.4 S_(m)^(0) (Fe, s) = 27.3, S_(m)^(0) (H_(2)g) = 130.7, S_(m)^(0) (H_(2)O, 1) = 69.9 JK^(-1) mol^(-1)`

A

`-212.5 JK^(-1)`

B

`-215.2 JK^(-1) mol^(-1)`

C

`-120.9 JK^(-1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`Delta S^(0) = S_(P^(0) - S_(R )^(0)`
`= 2 xx S_(Fe)^(0) + 3S_(H_(2)O)^(0) - S_(Fe_(2)O_(3))^(0) - 3S_(H_(2))^(0)`
`= 2 xx 27.3 + 3 xx 69.9 - 87.4 - 3 xx 130.7`
`= -215.2 J//K`
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