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