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Calculate the molar specific heat at con...

Calculate the molar specific heat at constant volume of neon gas.
(R=8.314J `mol^(-1)K^(-1)`)

Text Solution

Verified by Experts

Average energy of one molecule of neon gas is given by `(3)/(2)K_(B)T` (monoatomic hence have 3 degrees of freedom)
Total energy=U=(K.E.)`xxN_(A)`
`=(3)/(2)K_(B)N_(A)T`
`U=(3)/(2)RT`
Specific heat at constant volume `C_(V)=(dU)/(dT)=(3)/(2)R`
`=(3)/(2)xx8.314=(12.47)/(4.2)`
`=2.96" cal "mol^(-1)K^(-1)`
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