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

For the hypothetical reaction
`A_(2)(g)+B_(2)(g) to 2AB_(g)`
`DeltaG_(r)^(@)" and " DeltaS_(r)^(@)" are " 20KJ//moland-20JK^(-1)mol^(-1)` respectively at `200K` `Delta_(r)C_(p)" is "20 JK^(-1) " then " DeltaH_(r)^(@) "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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