Determine the boiling point $($in $\backslash$deg C$)$ of a solution that contains $106\mathrm{.}5$ g of $($NH$4)2$SO$4$ in $272\mathrm{.}4$ g of water, assuming the ideal van $\text{'}$t Hoff factor for $($NH$4)2$SO$4.$ Kb for water is $0\mathrm{.}512\backslash$deg C$/$m$.$