What is w when $1\mathrm{.}71$ kg of H$2$O$($l$),$ initially at $25\mathrm{.}0$C$,$ is converted into water vapour at $181$C against a constant external pressure of $1\mathrm{.}00$ atm? Assume that the vapour behaves ideally and that the density of liquid water is $1\mathrm{.}00$ g$/$mL$.($Remember to include a $"+"$ or $""$ sign as appropriate.$)$

Enter your answer in acceptable SI units, accurate to $3$ significant figures. Use an acceptable SI symbol for units.