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The heat capacity per mole of water is (...

The heat capacity per mole of water is (R is universal gas constant) :

A

9R

B

`9/2R`

C

`6R`

D

5R

Text Solution

Verified by Experts

The correct Answer is:
A
We treat water like a solid. For each atom average energy is `3k_(B)T`. Water molecule has three atoms, two hydrogen and one oxygen. The total energy of one mole of water is
`U=3xx3k_(B)TxxN_(A)=9RT(becausek_(B)=R/(N_(A)))`
`therefore` Heat capacity per mole of water is
`C=(DeltaQ)/(DeltaT)=(DeltaU)/(DeltaT)=9R`
Correct choice is (a).
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