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
Gypsum board, k = 0.1710 mm21 °C-8 °CQ̇ = ?

A wall of gypsum board is 10 mm thick and has an area of 8 m². Its faces are held at 21 °C and -8 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 10 mmA = 8 m²T1 = 21 °CT2 = -8 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.1750 mm23 °C-12 °CQ̇ = ?

A wall of gypsum board is 50 mm thick and has an area of 4 m². Its faces are held at 23 °C and -12 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 50 mmA = 4 m²T1 = 23 °CT2 = -12 °C
Q̇ = W
3.Medium
Mineral wool, k = 0.0450 mmWood, k = 0.17100 mm16 °C-9 °CQ̇ = ?

A wall is made of 50 mm of mineral wool and 100 mm of wood, with an area of 4 m². The outer faces are at 16 °C and -9 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.04 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 4 m²T1 = 16 °CT3 = -9 °C
Q̇ = W
4.Medium
Wood, k = 0.17250 mmGypsum board, k = 0.1725 mm15 °C-3 °CTi​ = ?Q̇

A wall is made of 250 mm of wood and 25 mm of gypsum board, with an area of 12 m². The outer faces are at 15 °C and -3 °C. Find the temperature Ti at the interface between the two layers.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 0.17 W/(m·K)A = 12 m²T1 = 15 °CT3 = -3 °C
Ti = °C
5.Hard
Concrete, k = 1.450 mmGlass, k = 0.96100 mmroom 21 °Coutside -12 °CTs​ = ?Q̇

A wall of 50 mm concrete and 100 mm glass separates a room at 21 °C from outside air at -12 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 12 m². Find the temperature Ts of the inside surface of the wall.

L1 = 50 mm, k1 = 1.4 W/(m·K)L2 = 100 mm, k2 = 0.96 W/(m·K)A = 12 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -12 °C
Ts = °C
6.Hard
Concrete, k = 1.4200 mmExpanded polystyrene, k = 0.03525 mmroom 20 °Coutside -10 °CQ̇ = ?

A wall of 200 mm concrete and 25 mm expanded polystyrene separates a room at 20 °C from outside air at -10 °C. The convection coefficients are 10 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 15 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 1.4 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 15 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -10 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 3944 W
  2. 2. Q̇ = 476 W
  3. 3. Q̇ = 54.4 W
  4. 4. Ti = −1.364 °C
  5. 5. Ts = 9.616 °C
  6. 6. Q̇ = 451.3 W

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