An adiabatic cylindrical tube is fitted ...

An adiabatic cylindrical tube is fitted with an adiabatic separator as shown in figure. Initial separator is in equilibrium and divides a tube in two equal parts. The seperator can be slide into the tube by an extermal mechanism. An ideal gas `(gamma = 1.5)` is injected in the two slides at equal pressure and temperature. Now separator is slid to a piston where it divides the tube in the ratio `7 :3` The ratio of the temperature in the two parts of the vessel is `sqrt(n) : sqrt(7)` find `n`.

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