Answer
$P_{cond}=2.3\times 10^2\frac{J}{s}$
Work Step by Step
We can find the rate of heat flow as;
$P_{cond}=\frac{KA(T_H-T_C)}{L}$
We plug in the known values to obtain:
$P_{cond}=\frac{0.04(1.8)(33-1.0)}{1.0\times 10^{-2}}=2.3\times 10^2\frac{J}{s}$