Consider a large plane wall of thickness L=0.4 m, thermal conductivity k=2.3 W/m-C, and surface area...

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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=30 m2. The left side of the wall is maintained at a 2. k constant temperature of T1=90°C while the right side T;=90°C loses heat by convection to the surrounding air at T= 4=30 m² 25°C with a heat transfer coefficient of h= 24 W/m2 °C. T =25°C h=24 W/m2.°C L=0.4 m 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 (15p) (b) obtain a relation for the variation of temperature in the wall by solving the differential equation (15p) (c) evaluate the rate of heat transfer through the wall (15p) Consider a large plane wall of thickness L=0.4 m, thermal conductivity k=2.3 W/m-°C, and surface area A=30 m2. The left side of the wall is maintained at a 2. k constant temperature of T1=90°C while the right side T;=90°C loses heat by convection to the surrounding air at T= 4=30 m² 25°C with a heat transfer coefficient of h= 24 W/m2 °C. T =25°C h=24 W/m2.°C L=0.4 m 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 (15p) (b) obtain a relation for the variation of temperature in the wall by solving the differential equation (15p) (c) evaluate the rate of heat transfer through the wall (15p)