Question

A thin walled metal tank of surface area 5m^2 is filled with water and contains an immersion heater dissipating 1KW.The tank is covered with 4cm thick layer of insulation whose thermal conductivity is 0.2W/m/K.The outer face of the insulation is 25°C.Find the temperature of the tank in steady state.

Answer 1

Dear Student
As the hear flows through process conduction hence applying the formula of conduction
$$\begin{gathered} \frac{dQ}{dt}=\frac{KA(T-25)}{L}=\frac{0.2\times 5(T-25)}{4\times {10}^{-2}} \\ \frac{dQ}{dt}=\frac{power\times dt}{dt}=\frac{0.2\times 5(T-25)}{4\times {10}^{-2}} \\ power=\frac{0.2\times 5(T-25)}{4\times {10}^{-2}} \\ 1000=\frac{0.2\times 5(T-25)}{4\times {10}^{-2}} \\ T={65}^0 \end{gathered}$$

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