Saturated ethylene glycol at \(1 \mathrm{~atm}\) is heated by a horizontal chromium-plated surface which has a diameter of \(200 \mathrm{~mm}\) and is maintained at \(480 \mathrm{~K}\). Estimate the heating power requirement and the rate of evaporation. What fraction is the power requirement of the maximum power associated with the critical heat flux? At \(470 \mathrm{~K}\), properties of the saturated liquid are \(\mu=0.38 \times\) \(10^{-3} \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}^{2}, c_{p}=3280 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\), and \(\operatorname{Pr}=8.7\). The saturated vapor density is \(ho=1.66 \mathrm{~kg} / \mathrm{m}^{3}\). Assume nucleate boiling constants of \(C_{s, f}=0.01\) and \(n=1.0\).