Answer
(i) $104.6\,J\,K^{-1}mol^{-1}$
(ii) $-104.6\,J\,K^{-1}mol^{-1}$
Work Step by Step
(i) $\Delta S_{vap}=\frac{\Delta H_{vap}}{T_{b}}=\frac{35.27\times1000\,J\,mol^{-1}}{(64.1+273.15)K}=104.6\,J\,K^{-1}mol^{-1}$
(ii) $\Delta S_{surr}=-\Delta S_{sys}$
$\implies \Delta S_{surr}=-\Delta S_{vap}=-104.6\,J\,K^{-1}mol^{-1}$