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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)/(2)R`

C

`6R`

D

`5R`

Text Solution

Verified by Experts

The correct Answer is:
A
We treat water molecules like a solid. For each atom average 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" "(because k_(B)=(R)/(N_(A)))`
`therefore` Heat capacity per mole of water is `C=(DeltaQ)/(DeltaT)=(DeltaU)/(DeltaT)=9R`
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