Heat conduction worksheet with answers

Free printable Heat conduction worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Brick, k = 0.72200 mm21 °C-9 °CQ̇ = ?

A wall of brick is 200 mm thick and has an area of 20 m². Its faces are held at 21 °C and -9 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.72 W/(m·K)L = 200 mmA = 20 m²T1 = 21 °CT2 = -9 °C
Q̇ = W
2.Easy
Wood, k = 0.17100 mm20 °C7 °Cq″ = ?

A wall of wood is 100 mm thick and has an area of 8 m². Its faces are held at 20 °C and 7 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 100 mmA = 8 m²T1 = 20 °CT2 = 7 °C
q″ = W/m²
3.Medium
Wood, k = 0.17150 mmBrick, k = 0.72150 mm19 °C6 °CTi​ = ?Q̇

A wall is made of 150 mm of wood and 150 mm of brick, with an area of 15 m². The outer faces are at 19 °C and 6 °C. Find the temperature Ti at the interface between the two layers.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.72 W/(m·K)A = 15 m²T1 = 19 °CT3 = 6 °C
Ti = °C
4.Medium
Concrete, k = 1.450 mmGlass, k = 0.9625 mm25 °C9 °CTi​ = ?Q̇

A wall is made of 50 mm of concrete and 25 mm of glass, with an area of 10 m². The outer faces are at 25 °C and 9 °C. Find the temperature Ti at the interface between the two layers.

L1 = 50 mm, k1 = 1.4 W/(m·K)L2 = 25 mm, k2 = 0.96 W/(m·K)A = 10 m²T1 = 25 °CT3 = 9 °C
Ti = °C
5.Hard
Concrete, k = 1.4100 mmGlass, k = 0.9650 mmroom 21 °Coutside 4 °CTs​ = ?Q̇

A wall of 100 mm concrete and 50 mm glass separates a room at 21 °C from outside air at 4 °C. The convection coefficients are 10 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 12 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 1.4 W/(m·K)L2 = 50 mm, k2 = 0.96 W/(m·K)A = 12 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 21 °CTout = 4 °C
Ts = °C
6.Hard
Glass, k = 0.96100 mmMineral wool, k = 0.0475 mmroom 22 °Coutside -3 °CQ̇ = ?

A wall of 100 mm glass and 75 mm mineral wool separates a room at 22 °C from outside air at -3 °C. The convection coefficients are 7.7 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 6 m². Find the heat loss Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 75 mm, k2 = 0.04 W/(m·K)A = 6 m²hi = 7.7 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -3 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 2160 W
  2. 2. q″ = 22.1 W/m²
  3. 3. Ti = 8.483 °C
  4. 4. Ti = 15.75 °C
  5. 5. Ts = 14.55 °C
  6. 6. Q̇ = 69.8 W

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