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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. |
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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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