Answer
(i) $87.8\,J\,K^{-1}mol^{-1}$
(ii) $-87.8\,J\,K^{-1}mol^{-1}$
Work Step by Step
(i) $\Delta S_{vap}=\frac{\Delta H_{vap}}{T_{b}}=\frac{29.4\times1000\,J\,mol^{-1}}{334.88\,K}=87.8\,J\,K^{-1}mol^{-1}$
(ii) For a reversible process, $\Delta S_{surr}=-\Delta S_{sys}$
$\implies \Delta S_{surr}=-\Delta S_{vap}=-87.8\,J\,K^{-1}mol^{-1}$