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
Expanded polystyrene, k = 0.03550 mm24 °C-3 °CQ̇ = ?

A wall of expanded polystyrene is 50 mm thick and has an area of 8 m². Its faces are held at 24 °C and -3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.035 W/(m·K)L = 50 mmA = 8 m²T1 = 24 °CT2 = -3 °C
Q̇ = W
2.Easy
Concrete, k = 1.420 mm22 °C3 °CQ̇ = ?

A wall of concrete is 20 mm thick and has an area of 12 m². Its faces are held at 22 °C and 3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 20 mmA = 12 m²T1 = 22 °CT2 = 3 °C
Q̇ = W
3.Medium
Gypsum board, k = 0.17150 mmWood, k = 0.17100 mm18 °C-7 °CQ̇ = ?

A wall is made of 150 mm of gypsum board and 100 mm of wood, with an area of 10 m². The outer faces are at 18 °C and -7 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 10 m²T1 = 18 °CT3 = -7 °C
Q̇ = W
4.Medium
Mineral wool, k = 0.04200 mmGypsum board, k = 0.17100 mm24 °C1 °CQ̇ = ?

A wall is made of 200 mm of mineral wool and 100 mm of gypsum board, with an area of 12 m². The outer faces are at 24 °C and 1 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.04 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 12 m²T1 = 24 °CT3 = 1 °C
Q̇ = W
5.Hard
Brick, k = 0.72150 mmWood, k = 0.1750 mmroom 21 °Coutside -1 °CQ̇

A wall of 150 mm brick and 50 mm wood separates a room at 21 °C from outside air at -1 °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 overall heat transfer coefficient U of the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 12 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 21 °CTout = -1 °C
U = W/(m²·K)
6.Hard
Gypsum board, k = 0.17150 mmMineral wool, k = 0.04100 mmroom 21 °Coutside -15 °CQ̇ = ?

A wall of 150 mm gypsum board and 100 mm mineral wool separates a room at 21 °C from outside air at -15 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 10 m². Find the heat loss Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.04 W/(m·K)A = 10 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -15 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 151.2 W
  2. 2. Q̇ = 15960 W
  3. 3. Q̇ = 170 W
  4. 4. Q̇ = 49.39 W
  5. 5. U = 1.557 W/(m²·K)
  6. 6. Q̇ = 100.5 W

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