The thermal conductivity of a sheet of rigid insulation is reported to be 0.029 W/(m·K). The temperature difference across a 20 mm thick sheet of insulation is 10˚C. (a) What is the heat flux through a 2m x 2m sheet of this insulation? (b) What is the total rate of heat transfer through the sheet?

Respuesta :

Answer:

a)[tex]q=14.5\ W/m^2[/tex]

b)Q= 58 W  

Explanation:

Given that

Thermal conductivity ,K = 0.029 W/m.k

The temperature difference ,ΔT= 10°C

The thickness ,L = 20 mm

We know that

[tex]Q=\dfrac{KA}{L}\times \Delta T[/tex]

Now by putting the values

[tex]Q=\dfrac{0.029\times 4}{0.02}\times 10\ W[/tex]

Q= 58 W

The heat flux through the sheet is given as

[tex]q=\dfrac{Q}{A}\ W/m^2[/tex]

[tex]q=\dfrac{58}{2\times 2}\ W/m^2[/tex]

[tex]q=14.5\ W/m^2[/tex]

a)[tex]q=14.5\ W/m^2[/tex]

b)Q= 58 W

Q&A Education