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
| 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).
$(a-5)$ 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).
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