Answer:
Heat flux = 13.92 W/m2
Rate of heat transfer throug the 3m x 3m sheet = 125.28 W
The thermal resistance of the 3x3m sheet is 0.0958 K/W
Explanation:
The rate of heat transfer through a 3m x 3m sheet of insulation can be calculated as:
[tex]q=-k*A*\frac{\Delta T}{\Delta X}\\\\q=-0.029\frac{W}{m*K}*(3m*3m)*\frac{12K}{0.025m} =125.28W[/tex]
The heat flux can be defined as the amount of heat flow by unit of area.
Using the previous calculation, we can estimate the heat flux:
[tex]heat \, flux=\frac{q}{A}=\frac{125.28 W}{9 m^{2} } =13.92 W/m^{2}[/tex]
It can also be calculated as:
[tex]q/A=-k*\frac{\Delta T}{\Delta X}[/tex]
The thermal resistance can be expressed as
[tex]\Delta T=R_t*Q\\R_t=\Delta T/Q=\frac{\Delta X}{k*A}[/tex]
For the 3m x 3m sheet, the thermal resistance is
[tex]R_t = \frac{\Delta X}{k*A}=\frac{0.025m}{0.029W/mK*9m^{2}}=0.0958 \, K/W[/tex]
