1.

If `Q` amount of heat is given to a diatomic ideal gas in a process in which the gas perform a work `(2Q)/(3)` on its surrounding. Find the molar heat capacity (in terms of `R`) for the process.

Answer» Correct Answer - `7.5R`
`Q = nCDeltaT`
As `Q = nC DeltaT` ………..(i)
Also `DeltaU = Q - (2Q)/(3) = (Q)/(3)`
`nC_(v)DeltaT = (Q)/(3), (n5RDeltaT)/(2) = (Q)/(3)`
`rArr nDeltaT = (2Q)/(15R) ………(ii)`
From (1) and (ii)
`C = (Q15R)/(2Q) = 7.5R`.


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