$7\mathrm{.}1$ A $10-$cm$-$square plate has an electric heater installed that produces a constant heat flux. Water at $\backslash (10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ flows across the plate at a velocity of $\backslash (3\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ What is the total heat which can be dissipated if the plate temperature is not to exceed $\backslash (80^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )?$