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What is the value of change in internal ...

What is the value of change in internal energy at 1 atm in the process?
`H_(2)O(l,323K)rarrH_(2)O(g,423K)`
Given : `C_(v,m)(H_(2)O,l)=75.0JK^(-1) mol^(-1):" "C_(p,m)(H_(2)O,g)=33.314JK^(-1)mol^(-1)`
`DeltaH_(vap)"ar 373 K"=40.7KJ//mol`

A

`42.91kJ//mol`

B

`43086kJ//mol`

C

`42.6kJ//mol`

D

`49.6kJ//mol`

Text Solution

Verified by Experts

The correct Answer is:
C

`C_(V,m)(H_(2)O,g)=33.314-8.314`
`=25"J/K mol"`
`DeltaU_(2)=DeltaH_(2)-Deltan_(g)RT=37.6`
`DeltaU_("total")=DeltaU_(1)+DeltaU_(2)+DeltaU_(3)`
`=C_(v,m)(l).DeltaT+DeltaV_("vap.")+C_(v,m)(g)DeltaT`
`=(75xx50)/(1000)+37.6+(25xx25)/(1000)`
`=42.6"kJ/mol"`
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