Match the following terms in Column-$I$ with their corresponding descriptions in Column-$II$:

Column-$I$	Column-$II$
$(a)$ Adiabatic process	$(1)$ Heat
$(b)$ Isolated system	$(2)$ At constant volume
$(c)$ Isothermal change	$(3)$ First law of thermodynamics
$(d)$ Path function	$(4)$ No exchange of matter and energy
$(e)$ State function	$(5)$ No heat exchange
$(f)$ $\Delta U = q$	$(6)$ Constant temperature
$(g)$ Law of conservation of energy	$(7)$ Internal energy
$(h)$ Reversible process	$(8)$ $p_{ext} = 0$
$(i)$ Free expansion	$(9)$ At constant pressure
$(j)$ $\Delta H = q$	$(10)$ Infinitely slow process involving multiple equilibrium states
$(k)$ Intensive property	$(11)$ Entropy
$(l)$ Extensive property	$(12)$ Pressure,$(13)$ Specific heat

(A) The correct matches are:
$(a-5)$ Adiabatic process involves no heat exchange.
$(b-4)$ Isolated system allows no exchange of matter or energy.
$(c-6)$ Isothermal change occurs at constant temperature.
$(d-1)$ Heat is a path function.
$(e-7, 11)$ Internal energy and entropy are state functions.
$(f-2)$ $\Delta U = q$ at constant volume.
$(g-3)$ Law of conservation of energy is the first law of thermodynamics.
$(h-10)$ Reversible process is infinitely slow and involves multiple equilibrium states.
$(i-8)$ Free expansion occurs when $p_{ext} = 0$.
$(j-9)$ $\Delta H = q$ at constant pressure.
$(k-12)$ Pressure is an intensive property.
$(l-7, 11)$ Internal energy and entropy are extensive properties (Note: Specific heat is intensive).