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For the hypothetical reaction A(2)(g) +...

For the hypothetical reaction `A_(2)(g) + B_(2)(g) hArr 2AB(g)`
If `Delta_(r)G^(@)` and `Delta_(r)S^(@)` are `20 JK^(-1)mol^(-1)` respectively at `200` K.
`Delta_(r)C_(p)` is `20 JK^(-1) mol^(-1)` then `Delta_(r)H^(@) "at" 400 K ` is :

A

`20` KJ/mol

B

`7.98` KJ/mol

C

`28` KJ/mol

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

`(A) DeltaG_(200)^(@) = DeltaH_(200)^(@) - TDeltaS_(200)^(@)`
`DeltaH_(200)^(@) = 20-4 = 16 KJ//"mol"`
`DeltaH_(T_(2))^(@) = DeltaH_(T_(1))^(@) + DeltaC_(p)[t_(2)-T_(1)]`
`DeltaH_(400)^(@) = DeltaH_(200)^(@) + (20 xx 200)/(1000) KJ//"mol" = 16 + 4=2 KJ//"mol"`.
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