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The top surface $(0\mathrm{.}5$m $*0\mathrm{.}5$m$)$ of an oven is $60$deg C for

a particular operating condition when the room air is

$23$deg C$.$ To reduce heat loss from the oven and to mini$-$

mize burn hazard, it is proposed to create a $50-$mm air

space by adding a cover plate.

$($a$)$ Assuming the same oven surface temperature T$\_($s$)$ for

both situations, estimate the reduction in the convec$-$

tion heat loss resulting from installation of the cover

plate. What is the temperature of the cover plate?