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A gas (lambda=1.3) is enclosed in an in...

A gas `(lambda=1.3)` is enclosed in an insulated vessel fitted with insulating piston at a pressure of `10^(5)N//m^(2)` . On suddenly pressing the piston the volume is reduced to half the initial volume. The final pressure of the gas is

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A diatomic gas is enclosed in a vessel fitted with massless movable piston. Area of cross section of vessel is 1m^2 . Initial height of the piston is 1m (see the figure). The initial temperature of the gas is 300K. The temperature of the gas is increased to 400K, keeping pressure constant, calculate the new height of the piston. The piston is brought to its initial position with no heat exchange. Calculate the final temperature of the gas. You can leave answer in fraction.

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