Match the following processes with their corresponding entropy changes:
Process Entropy Change $(a)$ Liquid to vapor conversion $(1)$ $\Delta S = 0$ $(b)$ Process not spontaneous at any temperature $(2)$ $\Delta S = (+)$ $(c)$ Reversible expansion of an ideal gas $(3)$ $\Delta S = (-)$
| Process | Entropy Change |
| $(a)$ Liquid to vapor conversion | $(1)$ $\Delta S = 0$ |
| $(b)$ Process not spontaneous at any temperature | $(2)$ $\Delta S = (+)$ |
| $(c)$ Reversible expansion of an ideal gas | $(3)$ $\Delta S = (-)$ |
(A) The correct matches are:
$(a)$ Liquid to vapor conversion involves an increase in disorder,so $\Delta S = (+)$.
$(b)$ $A$ process that is not spontaneous at any temperature typically involves a decrease in entropy and an increase in enthalpy,so $\Delta S = (-)$.
$(c)$ For a reversible process in an isolated system or specific reversible expansions,the entropy change of the universe is zero,so $\Delta S = 0$.
Therefore,the correct sequence is $(a-2, b-3, c-1)$.
$(a)$ Liquid to vapor conversion involves an increase in disorder,so $\Delta S = (+)$.
$(b)$ $A$ process that is not spontaneous at any temperature typically involves a decrease in entropy and an increase in enthalpy,so $\Delta S = (-)$.
$(c)$ For a reversible process in an isolated system or specific reversible expansions,the entropy change of the universe is zero,so $\Delta S = 0$.
Therefore,the correct sequence is $(a-2, b-3, c-1)$.
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