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Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 2.3 W/m.°C, and surface area A = 20 m². The left side of the wall is maintained at a constant temperature ofT₁ = 80°C while the right side loses heat by convection to the surrounding air at T = 15°C with a heat transfer coefficient of h = 24 W/m². °C. Assuming constant thermal conductivity and no heat generation in the wall, (a) The differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) A relation for the variation of temperature in the wall by solving the differential equation, (c) The rate of heat transfer through the wall.

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