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The molar heat capacities of Iodine vapo...

The molar heat capacities of Iodine vapour and solid are `7.8` and 14 cal/mol respectively. If enthalpy of iodine is 6096 cal/mol at `200^(@)C`, then what is `DeltaU` (internal energy change) at `250^(@)C` in cal/mol

A

5360

B

4740

C

6406

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`I_(2(s))rarrI_(2)(g)`
`DeltaH_(2)=DeltaH_(1)+DeltaC_(P)(T_(2)-T_(1))`
`DeltaC_(P)=C_(P)(I_(2,g))-C_(P)(I_(2,s))=-6.2` cal/mole
`DeltaH_(2)=6096 - 6.2 (50)=5786` cal/mole
`DeltaH=DeltaU+1xx2xx523`
`5786 =DeltaU+1xx2xx523`
`DeltaU=5786 - 1046 = 4740` cal
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