At \(298\text{ K}\) and \(1\text{ atm}\), bromine exists primarily as a reddish-brown liquid, \(\text{Br}_2(l)\), in equilibrium with a small amount of bromine vapor, \(\text{Br}_2(g)\). Which of the following statements correctly compares the standard molar entropy, \(S^\circ\), of \(\text{Br}_2(g)\) to that of \(\text{Br}_2(l)\) at \(298\text{ K}\), and provides the correct justification?