One mole of a monatomic ideal gas undergoes the cyclic process $J \rightarrow K \rightarrow L \rightarrow M \rightarrow J$,as shown in the $P - T$ diagram. Match the quantities mentioned in $List-I$ with their values in $List-II$ and choose the correct option. [$R$ is the gas constant]
$List-I$$List-II$
$(P)$ Work done in the complete cyclic process$(1)$ $R T_0 - 4 R T_0 \ln 2$
$(Q)$ Change in the internal energy of the gas in the process $JK$$(2)$ $0$
$(R)$ Heat given to the gas in the process $KL$$(3)$ $3 R T_0$
$(S)$ Change in the internal energy of the gas in the process $MJ$$(4)$ $-2 R T_0 \ln 2$
$(5)$ $-3 R T_0 \ln 2$

  • A
    $P \rightarrow 1 ; Q \rightarrow 3 ; R \rightarrow 5 ; S \rightarrow 4$
  • B
    $P \rightarrow 4 ; Q \rightarrow 3 ; R \rightarrow 5 ; S \rightarrow 2$
  • C
    $P \rightarrow 4 ; Q \rightarrow 1 ; R \rightarrow 2 ; S \rightarrow 2$
  • D
    $P \rightarrow 2 ; Q \rightarrow 5 ; R \rightarrow 3 ; S \rightarrow 4$

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Similar Questions

Initial pressure and volume of a gas are $P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $V$. The final pressure of the gas will be (given $\gamma = 3/2$): (in $,P$)

An ideal gas at pressure $P$ and volume $V$ is expanded to volume $2V$. Column $I$ represents the thermodynamic processes used during expansion. Column $II$ represents the work done during these processes in random order:
Column $I$Column $II$
$(p)$ isobaric$(x)$ $\frac{PV(1 - 2^{1 - \gamma})}{\gamma - 1}$
$(q)$ isothermal$(y)$ $PV$
$(r)$ adiabatic$(z)$ $PV \ln 2$

The correct matching of column $I$ and column $II$ is given by:

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Consider the following statements:
$A$. Zeroth law of thermodynamics gives the concept of temperature.
$B$. First law of thermodynamics gives the concept of internal energy.
$C$. In isothermal expansion of an ideal gas, $\Delta Q \neq \Delta W$.
$D$. The product of intensive and extensive variables is extensive.
$E$. The ratio of any extensive variable to mass will be an extensive variable.
Choose the correct combination of statements from the options given below:

Write one process where work is converted into heat and heat is converted into work.

Choose the incorrect statement from the following:
$S1$: The efficiency of a heat engine can be $1$,but the coefficient of performance of a refrigerator can never be infinity.
$S2$: The first law of thermodynamics is basically the principle of conservation of energy.
$S3$: The second law of thermodynamics does not allow several phenomena consistent with the first law.
$S4$: $A$ process,whose sole result is the transfer of heat from a colder to a hotter object,is impossible.

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