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A diatomic ideal gas initially at 273 ...

A diatomic ideal gas initially at 273 K is given 100 cal heat due to which system did 209 J work.
Molar heat capacity ` (C_(m))`n of gas for the process is :

A

`(3)/(2) R`

B

`(5)/(2) R`

C

`(5)/(4)R`

D

5 R

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The correct Answer is:
D
`DeltaU = 100 -(209)/(4.18) = 50 cal rArr DeltaU = nC_(V)dT rArr C_(v,m) = (5)/(2)R rArr ndT = (20)/(R) rArr q = nC_(m) dT`
`C_(m)= (100R)/(20) R`
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