The temperature of a hypothetical gas increases to $\sqrt 2 $ times when compressed adiabatically to half the volume. Its equation can be written as
$P{V^{3/2}}$= constant
$P{V^{5/2}}$= constant
$P{V^{7/3}}$= constant
$P{V^{4/3}}$= constant
A balloon filled with helium $\left(32^{\circ} C \right.$ and $1.7\; atm$.) bursts. Immediately afterwards the expansion of helium can be considered as
Check the statement are trrue or false :
$1.$ The change in internal energy $\Delta U = 0$ in a cyclic process.
$2.$ In an adiabatic process temperature remains constant.
$3.$ The internal energy of a system during isothermal process decreases.
In the following figure, four curves $A, B, C$ and $D$ are shown. The curves are
The initial pressure and volume of an ideal gas are $P_0$ and $V_0$. The final pressure of the gas when the gas is suddenly compressed to volume $\frac{ V _0}{4}$ will be (Given $\gamma=$ ratio of specific heats at constant pressure and at constant volume)
In adiabatic expansion