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

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

A

20 kJ/mol

B

`7.98` kJ/mos

C

28 kJ/mol

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaG_(200)^(@)=DeltaH_(200)^(@)-TDeltaS_(200)^(@)`
`DeltaH_(200)^(@)=20-4=16"kJ/mol"`
`DeltaH_(T_(2))^(@)=DeltaH_(T_(1))^(@)+DeltaC_(P)[T_(1)-T_(2)]`
`DeltaH_(400)^(@)=DeltaH_(200)^(@)+(20xx200)/(1000)"kJ/mol"`
`=16+4=20"kJ/mol"`
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