Answer
$P^{\prime}_{cond}=3.5\times 10^3\frac{J}{s}$
Work Step by Step
We can find the new rate of heat flow as;
$P^{\prime}_{cond}=\frac{k^{\prime}P_{cond}}{k}$
We plug in the known values to obtain:
$P^{\prime}_{cond}=\frac{(0.6)(230)}{0.04}=3.5\times 10^3\frac{J}{s}$