Consider a large plane wall of thickness L 0.3 m,
thermal conductivity k 2.5 W/m · °C, and surface area A
12 m2. The left side of the wall at x 0 is subjected to a net
heat flux of q·
0 700 W/m2 while the temperature at that surface
is measured to be T1 80°C. Assuming constant thermal
conductivity and no heat generation in the wall, (a) express the
differential equation and the boundary conditions for steady
one-dimensional heat conduction through the wall, (b) obtain a
relation for the variation of temperature in the wall by solving
the differential equation, and (c) evaluate the temperature of
the right surface of the wall at x L. Answer: (c) 4°C