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An adiabatic cyclinder fitted with an adiabatic piston at the right end of cylinder, is dicided into equal halves with a monoatomic gas of the left side and diatomic gas on right side, using animpermeable movales adiabatic wall , . If the piston is pushed slowely to compress the diatomic gas to `(3)/(4)th` of its origanl volume. The new volume of the monoatomic gas would be.A. `V_("new")= V_("initial") xx[(4)/(3)]^((25)/(21))`B. `V_("new")= V_("initial") xx[(7)/(5)]^((3)/(4))`C. `V_("new")= V_("initial") xx[(3)/(4)]^((21)/(25))`D. `V_("new")= V_("initial") xx(3)/(4)`

Answer» Correct Answer - C
`Pv^(gamma) = K`
for diatomic gas
`(P_(1))/(P_(2))=((V_(2))/(V_(1)))^(gamma)=((3)/(4))^(7//5)`
for monoatomic gas
`(P_(1))/(P_(2)) = (V_("new")/(V_("initial")))^(5//3) rArr V_("new") = V_("initial")xx ((3)/(4))^((21)/(25))`


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