Questions in thermodynamics

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	If $\gamma =2.5$ and volume is equal to $\frac{1}{8}$ times to the initial volume then pressure P' is equal to (Initial pressure = P)
	In an adiabatic process, the state of a gas is changed from ${{P}_{1}},{{V}_{1}},{{T}_{1}},$ to ${{P}_{2}},{{V}_{2}},{{T}_{2}}$. Which of the following relation is correct
	During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio ${{C}_{p}}/{{C}_{v}}$ for the gas is
	In adiabatic expansion of a gas
	One mole of an ideal gas at an initial temperature of T K does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5/3$, the final temperature of gas will be
	A gas is suddenly compressed to 1/4 th of its original volume at normal temperature. The increase in its temperature is $(\gamma =1.5)$
	A gas ($\gamma =1.3)$ 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
	The internal energy of the gas increases In
	We consider a thermodynamic system. If $\Delta U$represents the increase in its internal energy and W the work done by the system, which of the following statements is true
	A gas is suddenly compressed to one fourth of its original volume. What will be its final pressure, if its initial pressure is P