1)Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 1.8 W/m·K, and surface area A = 30 m2 . The left side of the wall is maintained at a constant temperature of T1 = 90°C while the right side wall is maintained at a constant temperature at T2 =25°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 (c) Evaluate the rate of heat transfer through the wall