A $0\mathrm{.}7-$m $\backslash (\backslash$times $0\mathrm{.}7-\backslash$mathrm$\{$m$\}\backslash )$ vertical ASTM A$203$ B steel plate has one surface subjected to convection with cold, quiescent air at $\backslash (-70^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The minimum temperature suitable for the steel plate is $\backslash (-30^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )($ASME Code for Process Piping, ASME B$31\mathrm{.}3-2014,$ Table A$-1$M$).$ Determine the heat addition rate needed to keep the plate surface temperature from dropping below the minimum suitable temperature. Use the property tables to calculate the properties of air at the film temperature.

The heat addition rate needed to keep the plate surface temperature from dropping is

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