A gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \,V$. Then,
the process is adiabatic
the process is isothermal
the work done in this process is $n R T \ln _{e}(2)$, where $n$ is the number of moles of the gas
the entropy in the process does not change
$5.6$ $liter$ 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
For two different gases $X$ and $Y$, having degrees of freedom $f_1$ and $f_2$ and molar heat capacities at constant volume $C_{V1}$ and $C_{V2}$ respectively, the ln $P$ versus ln $V$ graph is plotted for adiabatic process, as shown
A monatomic gas at pressure $P_1$ and volume $V_1$ is compressed adiabatically to ${\frac{1}{8}}^{th}$ of its original volume. What is the final pressure of the gas is ........ $P_1$?
A certain mass of gas at $273 K$ is expanded to $81$ times its volume under adiabatic condition. If $\gamma = 1.25$ for the gas, then its final temperature is ..... $^oC$
Match the thermodynamic processes taking place in a system with the correct conditions. In the table: $\Delta Q$ is the heat supplied, $\Delta W$ is the work done and $\Delta U$ is change in internal energy of the system
Process | Condition |
$(I)$ Adiabatic | $(A)\; \Delta W =0$ |
$(II)$ Isothermal | $(B)\; \Delta Q=0$ |
$(III)$ Isochoric | $(C)\; \Delta U \neq 0, \Delta W \neq 0 \Delta Q \neq 0$ |
$(IV)$ Isobaric | $(D)\; \Delta U =0$ |