Question $\backslash (6(21\backslash$mathrm$\{$pts$\})\backslash )$

A staimless steel heater element of $5$ mm diameter is maintained at a surface temperature of $\backslash (350^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ immersed horizontally in an atmospheric pressure water. The surface of the heater element is mechanically polished and has am emissivity of $0\mathrm{.}25.$

i$-$ Calculate the electrical power dissipation and the rate of vapor production per unit length

ii$-$ If the heater were operated at the same power dissipation rate in the nucleate boiling regime, calculate the surface temperature and vapor production per unit length