A gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \,V$. Then,

  • [KVPY 2016]
  • A

    the process is adiabatic

  • B

    the process is isothermal

  • C

    the work done in this process is $n R T \ln _{e}(2)$, where $n$ is the number of moles of the gas

  • D

    the entropy in the process does not change

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  • [AIPMT 2010]

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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 $(D)\; \Delta U =0$

  • [JEE MAIN 2020]