The figure shows the P-V plot of an ideal gas | vedclass

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(A) The correct options are $(B)$ and $(D)$.$1$. Analysis of $(A)$: An isothermal process for an ideal gas follows $PV = 	ext{constant}$, which is a

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$(B,D)$

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(A) The correct options are $(B)$ and $(D)$.$1$. Analysis of $(A)$: An isothermal process for an ideal gas follows $PV = 	ext{constant}$, which is a rectangular hyperbola on a $P-V$ diagram, not a circular or elliptical arc. Thus, $(A)$ is incorrect.$2$. Analysis of $(B)$: For the path $B ightarrow C ightarrow D$, the volume decreases ($V$ goes from $3$ to $1$), so the work done by the gas $W = \int P \, dV$ is negative. Also, the temperature $T \propto PV$ decreases from $B$ to $C$ and $C$ to $D$ (as $P$ and $V$ both decrease or stay low), so the change in internal energy $\Delta U$ is negative. From the first law of thermodynamics, $\Delta Q = \Delta U + W$. Since both $\Delta U $3$. Analysis of $(C)$: The work done during $A ightarrow B ightarrow C$ is the area under the curve $ABC$ with the $V$-axis. Since the path $A ightarrow B ightarrow C$ involves expansion followed by compression, the net work is the area under the curve, which is clearly non-zero. Thus, $(C)$ is incorrect.$4$. Analysis of $(D)$: The cycle $ABCDA$ is traversed in a clockwise direction on the $P-V$ diagram. For a clockwise cycle, the net work done by the gas is positive, equal to the area enclosed by the cycle. Thus, $(D)$ is correct.

Column-$I$	Column-$II$
$(i)$ Adiabatic process	$(a)$ Constant temperature
$(ii)$ Isolated system	$(b)$ No exchange of energy and matter
$(iii)$ Isothermal change	$(c)$ First law of thermodynamics
$(iv)$ Law of conservation of energy	$(d)$ No transfer of heat only

Similar Questions

Match the following $:-$

Column-$I$ Column-$II$

$(i)$ Adiabatic process $(a)$ Constant temperature

$(ii)$ Isolated system $(b)$ No exchange of energy and matter

$(iii)$ Isothermal change $(c)$ First law of thermodynamics

$(iv)$ Law of conservation of energy $(d)$ No transfer of heat only

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cycle given in the figure? Where, $1 \rightarrow 2$ is adiabatic.

Air in a cylinder is suddenly compressed by a piston,which is then maintained at the same position. With the passage of time,

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