Problem $3.$ Derive an expression for the steady$-$state temperature distribution $T(x)$ in

a slab of radioactive material in which heat is generated at a uniform rate of $W_i$ per unit

volume when it is active. The surface of the slab at $x=0$ is perfectly insulated, and the

other surface at $x=L$ is exposed to a fluid medium maintained at temperature $T_{}$ with a

heat transfer coefficient h$.$ Also, obtain an expression for the rate of heat transfer to the

fluid per unit surface area of the slab. The thermal conductivity of the radioactive

material can be assumed constant.