aT$\_($inf $),$T$\_($surr $),$

T$($t$),$ and the Thermophysical properties labeled on the figure. Leave in variable form $($BOX ANSWER$).$

DO NOT SOLVE.

bt$+1$s after

the plate has reached $373$K$(100\backslash$deg C$).$ Use a one second time step.

The base plate of iron has a thickness $($L$)$ and a surface area of $($A$\_($s$)).$ The heat flux $,$ q$\_($h$)"(($W$)/($m$^(2))),$ is uniformly

applied to the backside of the baseplate $($you$\text{'}$ve seen an iron$).$ Neglect heat transfer from all edges.

Thermophysical properties of the plate are labelled on the drawing as well the surrounding temperatures and

heat transfer coefficient. WATCH UNITS! Box answer.

T$\_($sur $)=290$K

T$\_(\backslash$infty $)=300$K

h$=20(($W$))/($m$^(2)($K$))$

$\backslash$rho $=7800(($kg$))/($m$^(3))$

c$=430(($J$))/($kgK$)$

k$=55(($W$))/($mK$)$

$\backslash$epsi $=0\mathrm{.}9$

L$=0\mathrm{.}01$m$^(2)$

A$\_($s$)=0\mathrm{.}05$m$^(2)$