Fourier's Law of Conduction Problems

Please see the attached files for the fully formatted problem(s).

Problem 1.1
A perfectly insulated having dimension 12 ft*12 ft*12 ft
Heater having power = 10KW
Heater starts at time t = 0
Now using energy conservation law
Heat given by the heater = heat taken
The limit of following integration will be
For left hand side 0 to tf
And for right hand side 303K to T
∫ 10000 dt = n ∫ Cp*dT ------ (1)

Problem 1.2
In this problem we will use the formula of Fourier’s law of conduction in which we will equal it for both cases...

Problem 1.3
This is the question which tells us about the thermal conductivity changes with temperature as follows given in the question
k = A + BT + CT3
We will use the formula of Fourier’s law of conduction...

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