This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement $1:$ In an adiabatic process, change in internal energy of a gas is equal to work done on/by the gas in the process.
Statement $2 :$ The temperature of a gas remains constant in an adiabatic process.
Statement $1$ is true, Statement $2$ is true,
Statement $2$ is a correct explanation of Statement $1.$
Statement $1$ is true, Statement $2$ is false.
Statement $1$ is false, Statement $2$ is true.
Statement $1$ is false, Statement $2$ is true,
Statement $2$ is not a correct explanation of Statement $1.$
An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes $32$ times of its initial value. If the final pressure of gas is $128$ atmosphers, the value of $\gamma$ the gas is
If a cylinder containing a gas at high pressure explodes, the gas undergoes
$5.6$ $liter$ of helium gas at $STP$ is adiabatically compressed to $0.7$ $liter$. Taking the initial temperature to be $T_1$, the work done in the process is
The volume of an ideal gas $(\gamma=1.5)$ is changed adiabatically from $5$ litres to $4$ litres. The ratio of initial pressure to final pressure is:
A thermodynamic cycle $xyzx$ is shown on a $V-T$ diagram.
The $P-V$ diagram that best describes this cycle is
(Diagrams are schematic and not to scale)