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(A) $(i)$ Adiabatic process is a process in which there is no transfer of heat between the system and the surroundings,i.e.,$dQ = 0$. Thus,$(i) \longr

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$(i) \longrightarrow (d), (ii) \longrightarrow (b), (iii) \longrightarrow (a), (iv) \longrightarrow (c)$

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(A) $(i)$ Adiabatic process is a process in which there is no transfer of heat between the system and the surroundings,i.e.,$dQ = 0$. Thus,$(i) \longrightarrow (d)$.$(ii)$ An isolated system is a system that cannot exchange either energy or matter with its surroundings. Thus,$(ii) \longrightarrow (b)$.$(iii)$ Isothermal change is a process that occurs at a constant temperature,i.e.,$dT = 0$. Thus,$(iii) \longrightarrow (a)$.$(iv)$ The law of conservation of energy is the fundamental principle behind the first law of thermodynamics,which states that energy can neither be created nor destroyed,only transformed. Thus,$(iv) \longrightarrow (c)$.Therefore,the correct matching is $(i) \longrightarrow (d), (ii) \longrightarrow (b), (iii) \longrightarrow (a), (iv) \longrightarrow (c)$.

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

Column $I$	Column $II$
$(p)$ isobaric	$(x)$ $\frac{PV(1 - 2^{1 - \gamma})}{\gamma - 1}$
$(q)$ isothermal	$(y)$ $PV$
$(r)$ adiabatic	$(z)$ $PV \ln 2$

List-$I$	List-$II$
$P. \quad G \rightarrow E$	$1. \quad 160 P_0 V_0 \ln 2$
$Q. \quad G \rightarrow H$	$2. \quad 36 P_0 V_0$
$R. \quad F \rightarrow H$	$3. \quad 24 P_0 V_0$
$S. \quad F \rightarrow G$	$4. \quad 31 P_0 V_0$

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

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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