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
Glass, k = 0.96100 mm16 °C-4 °CQ̇ = ?

A wall of glass is 100 mm thick and has an area of 15 m². Its faces are held at 16 °C and -4 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.96 W/(m·K)L = 100 mmA = 15 m²T1 = 16 °CT2 = -4 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.0410 mm16 °C-1 °CQ̇ = ?

A wall of mineral wool is 10 mm thick and has an area of 4 m². Its faces are held at 16 °C and -1 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 10 mmA = 4 m²T1 = 16 °CT2 = -1 °C
Q̇ = W
3.Medium
Wood, k = 0.17200 mmGypsum board, k = 0.17100 mm15 °C7 °CTi​ = ?Q̇

A wall is made of 200 mm of wood and 100 mm of gypsum board, with an area of 8 m². The outer faces are at 15 °C and 7 °C. Find the temperature Ti at the interface between the two layers.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 8 m²T1 = 15 °CT3 = 7 °C
Ti = °C
4.Medium
Mineral wool, k = 0.04250 mmWood, k = 0.1775 mm16 °C-10 °CQ̇ = ?

A wall is made of 250 mm of mineral wool and 75 mm of wood, with an area of 4 m². The outer faces are at 16 °C and -10 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 4 m²T1 = 16 °CT3 = -10 °C
Q̇ = W
5.Hard
Mineral wool, k = 0.04250 mmGlass, k = 0.9650 mmroom 22 °Coutside 0 °CQ̇ = ?

A wall of 250 mm mineral wool and 50 mm glass separates a room at 22 °C from outside air at 0 °C. The convection coefficients are 7.7 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 8 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 50 mm, k2 = 0.96 W/(m·K)A = 8 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = 0 °C
Q̇ = W
6.Hard
Glass, k = 0.9650 mmExpanded polystyrene, k = 0.03525 mmroom 21 °Coutside 0 °CQ̇ = ?

A wall of 50 mm glass and 25 mm expanded polystyrene separates a room at 21 °C from outside air at 0 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 4 m². Find the heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 4 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = 0 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 2880 W
  2. 2. Q̇ = 272 W
  3. 3. Ti = 9.667 °C
  4. 4. Q̇ = 15.54 W
  5. 5. Q̇ = 27.22 W
  6. 6. Q̇ = 88.77 W

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