Q8: 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 qo= 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

Q8: 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 qo= 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