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
Mineral wool, k = 0.0410 mm23 °C-6 °CQ̇ = ?

A wall of mineral wool is 10 mm thick and has an area of 6 m². Its faces are held at 23 °C and -6 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 10 mmA = 6 m²T1 = 23 °CT2 = -6 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.17150 mm22 °C-7 °CQ̇ = ?

A wall of gypsum board is 150 mm thick and has an area of 15 m². Its faces are held at 22 °C and -7 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 150 mmA = 15 m²T1 = 22 °CT2 = -7 °C
Q̇ = W
3.Medium
Concrete, k = 1.4150 mmBrick, k = 0.72150 mm25 °C3 °CTi​ = ?Q̇

A wall is made of 150 mm of concrete and 150 mm of brick, with an area of 10 m². The outer faces are at 25 °C and 3 °C. Find the temperature Ti at the interface between the two layers.

L1 = 150 mm, k1 = 1.4 W/(m·K)L2 = 150 mm, k2 = 0.72 W/(m·K)A = 10 m²T1 = 25 °CT3 = 3 °C
Ti = °C
4.Medium
Gypsum board, k = 0.17150 mmBrick, k = 0.7275 mm17 °C-6 °CTi​ = ?Q̇

A wall is made of 150 mm of gypsum board and 75 mm of brick, with an area of 4 m². The outer faces are at 17 °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 = 75 mm, k2 = 0.72 W/(m·K)A = 4 m²T1 = 17 °CT3 = -6 °C
Ti = °C
5.Hard
Concrete, k = 1.4200 mmGypsum board, k = 0.1775 mmroom 22 °Coutside -13 °CQ̇ = ?

A wall of 200 mm concrete and 75 mm gypsum board separates a room at 22 °C from outside air at -13 °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 = 200 mm, k1 = 1.4 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 7.7 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -13 °C
Q̇ = W
6.Hard
Brick, k = 0.72250 mmExpanded polystyrene, k = 0.035100 mmroom 20 °Coutside -1 °CTs​ = ?Q̇

A wall of 250 mm brick and 100 mm expanded polystyrene separates a room at 20 °C from outside air at -1 °C. The convection coefficients are 8 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 15 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 0.035 W/(m·K)A = 15 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -1 °C
Ts = °C

Answer key

  1. 1. Q̇ = 696 W
  2. 2. Q̇ = 493 W
  3. 3. Ti = 17.53 °C
  4. 4. Ti = −3.571 °C
  5. 5. Q̇ = 278.6 W
  6. 6. Ts = 19.22 °C

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