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
Concrete, k = 1.450 mm15 °C0 °CQ̇ = ?

A wall of concrete is 50 mm thick and has an area of 10 m². Its faces are held at 15 °C and 0 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 50 mmA = 10 m²T1 = 15 °CT2 = 0 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.0420 mm16 °C9 °CQ̇ = ?

A wall of mineral wool is 20 mm thick and has an area of 6 m². Its faces are held at 16 °C and 9 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 20 mmA = 6 m²T1 = 16 °CT2 = 9 °C
Q̇ = W
3.Medium
Brick, k = 0.72200 mmWood, k = 0.1775 mm18 °C-6 °CQ̇ = ?

A wall is made of 200 mm of brick and 75 mm of wood, with an area of 10 m². The outer faces are at 18 °C and -6 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.72 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 10 m²T1 = 18 °CT3 = -6 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.1750 mmBrick, k = 0.7225 mm15 °C-11 °CQ̇ = ?

A wall is made of 50 mm of gypsum board and 25 mm of brick, with an area of 10 m². The outer faces are at 15 °C and -11 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 0.72 W/(m·K)A = 10 m²T1 = 15 °CT3 = -11 °C
Q̇ = W
5.Hard
Brick, k = 0.72250 mmMineral wool, k = 0.0425 mmroom 22 °Coutside 0 °CQ̇

A wall of 250 mm brick and 25 mm mineral wool separates a room at 22 °C from outside air at 0 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 4 m². Find the overall heat transfer coefficient U of the wall.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 25 mm, k2 = 0.04 W/(m·K)A = 4 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = 0 °C
U = W/(m²·K)
6.Hard
Glass, k = 0.96100 mmConcrete, k = 1.425 mmroom 22 °Coutside -11 °CQ̇

A wall of 100 mm glass and 25 mm concrete separates a room at 22 °C from outside air at -11 °C. The convection coefficients are 7.7 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 12 m². Find the overall heat transfer coefficient U of the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 1.4 W/(m·K)A = 12 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -11 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 4200 W
  2. 2. Q̇ = 84 W
  3. 3. Q̇ = 333.8 W
  4. 4. Q̇ = 790.7 W
  5. 5. U = 0.8793 W/(m²·K)
  6. 6. U = 3.506 W/(m²·K)

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