FOR DIFFERENT COMPETITIVE EXAMINATIONS

For an ideal gas at constant temperature the correct graph showing variation of $\beta =\left\{-\left(\frac{dV}{dP}\right)/V\right\}$ with $P$ is

Two samples $A$ and $B$ of a gas which are initially at the same temperature and pressure, are compressed from volume $V$ to $V/2$ ($A$ isothermally and $B$ adiabatically). The final pressure of:

In isobaric, isothermal and adiabatic processes, for the same change in volume, work done is minimum in :

Which of the following statements is true for a thermodynamic system?

During the adiabatic expansion of $2 \mathrm{mole}$ of a gas, the change in internal energy was found to be equal to $-100 \mathrm{J}$. The work done during the process will be equal to:

$5.6$ litre of helium gas at STP is adiabatically compressed to $0.7$ litre. Taking the initial temperature to be $T_1$, the work done in the process is:

One kg of a diatomic gas is at a pressure of  $8\times {10}^4 \mathrm{N}/{\mathrm{m}}^2$. The density of the gas is $4 \mathrm{kg}/{\mathrm{m}}^3$. What is the energy of the gas due to its thermal motion?

One mole of an ideal gas in initial state $A$ undergoes a cyclic process $ABCA$, as shown in the figure. Its pressure at A is $P_0$. Choose the correct options (s) from the following: