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1 mole of rigid diatomic gas performs a ...

1 mole of rigid diatomic gas performs a work of Q/5 when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is `(xR)/(8)`, The value of x is ........... [K = universal gas constant]

Text Solution

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The correct Answer is:
25
From thermodynamics law :
`DeltaQ=DeltaU+DeltaW" "...(i)`
`Q=nC_vDeltaT+Q/5`
`Q-Q/5=1xx5/2R xxDeltaT`
`Q =25/8 RDeltaT" "...(ii)`
`C=25/8R` or `C=(25R)/8impliesx=25" " [:. Q=nCDeltaT]`
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