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(A) In the given $P-V$ diagram:$1$. Process $I$ is a vertical line,meaning volume $V$ is constant. This is an isochoric process. Thus,$I-c$.$2$. Proce

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$I-c, II-a, III-d, IV-b$

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(A) In the given $P-V$ diagram:$1$. Process $I$ is a vertical line,meaning volume $V$ is constant. This is an isochoric process. Thus,$I-c$.$2$. Process $IV$ is a horizontal line,meaning pressure $P$ is constant. This is an isobaric process. Thus,$IV-b$.$3$. Processes $II$ and $III$ are curves representing changes in both $P$ and $V$. Since $II$ connects the $300 \ K$ and $500 \ K$ isotherms and $III$ connects the $500 \ K$ and $700 \ K$ isotherms,they represent adiabatic processes (as they cross isotherms). Specifically,$II$ is adiabatic and $III$ is isothermal (or vice versa depending on the specific slope analysis). However,looking at the options,$I-c$ and $IV-b$ are fixed. Comparing with options,$I-c, II-a, III-d, IV-b$ fits the standard interpretation where $II$ is adiabatic and $III$ is isothermal. Therefore,the correct match is $I-c, II-a, III-d, IV-b$.

$List-I$	$List-II$
$(I)$ $10^{-3} \, kg$ of water at $100^{\circ} C$ is converted to steam at the same temperature, at a pressure of $10^5 \, Pa$. The volume of the system changes from $10^{-6} \, m^3$ to $10^{-3} \, m^3$. Latent heat of water $= 2250 \, kJ/kg$.	$(P)$ $2 \, kJ$
$(II)$ $0.2 \, moles$ of a rigid diatomic ideal gas with volume $V$ at temperature $500 \, K$ undergoes an isobaric expansion to volume $3V$. Assume $R = 8.0 \, J \, mol^{-1} \, K^{-1}$.	$(Q)$ $7 \, kJ$
$(III)$ One mole of a monatomic ideal gas is compressed adiabatically from volume $V = 1/3 \, m^3$ and pressure $2 \, kPa$ to volume $V/8$.	$(R)$ $4 \, kJ$
$(IV)$ Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 \, kJ$ of heat and undergoes isobaric expansion.	$(S)$ $5 \, kJ$
	$(T)$ $3 \, kJ$

For the given $P-V$ diagram of a thermodynamic system,match the curves with their respective thermodynamic processes. ($P$ = Pressure and $V$ = Volume)
Curve Process
$I$ $a)$ Adiabatic
$II$ $b)$ Isobaric
$III$ $c)$ Isochoric
$IV$ $d)$ Isothermal

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Curve	Process
$I$	$a)$ Adiabatic
$II$	$b)$ Isobaric
$III$	$c)$ Isochoric
$IV$	$d)$ Isothermal

For the given $P-V$ diagram of a thermodynamic system,match the curves with their respective thermodynamic processes. ($P$ = Pressure and $V$ = Volume)CurveProcess$I$$a)$ Adiabatic$II$$b)$ Isobaric$III$$c)$ Isochoric$IV$$d)$ Isothermal