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Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move, while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is : |
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Answer» 18 K `therefore Q =nC_(P)Delta T_(1)` and in SECOND case heat is supplied at volume `therefore Q=nC_(V)Delta T_(2)` `nC_(P)Delta T_(1)=nC_(v)Delta T_(2)` For `Delta T_(2)=(C_(rho))/(C_(v)) CDOT Delta T_(1)` `Delta T_(2)=(7)/(5) cdot 30= 42 K` `[because" For diatomic gas "(C_(P))/(C_(v))=gamma =(7)/(5)]` |
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