The rate of heat flow through a slab is P_cond.If the slab thickness is doubled, its cross-sectional area is halved, and the temperature difference across it is doubled, then the rate of heat flow becomes:

Question

Quizplus · Accepted Answer

The rate of heat flow through a slab is given by the equation $Q = \frac{kA(T_2 - T_1)}{d}$, where $k$ is the thermal conductivity, $A$ is the cross-sectional area, $T_2 - T_1$ is the temperature difference, and $d$ is the thickness. Doubling the thickness ($d$) and halving the area ($A$) both decrease the rate of heat flow, while doubling the temperature difference ($T_2 - T_1$) increases it. These changes cancel out in a way that the overall rate of heat flow is halved.

The Rate of Heat Flow Through a Slab Is Pcond

The Rate of Heat Flow Through a Slab Is P_cond