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 = 1.420 mm24 °C6 °CQ̇ = ?

A wall of concrete is 20 mm thick and has an area of 12 m². Its faces are held at 24 °C and 6 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 20 mmA = 12 m²T1 = 24 °CT2 = 6 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.0450 mm24 °C4 °Cq″ = ?

A wall of mineral wool is 50 mm thick and has an area of 15 m². Its faces are held at 24 °C and 4 °C. Find the heat flux q″ through the wall.

k = 0.04 W/(m·K)L = 50 mmA = 15 m²T1 = 24 °CT2 = 4 °C
q″ = W/m²
3.Medium
Mineral wool, k = 0.04200 mmWood, k = 0.1725 mm25 °C-10 °CQ̇ = ?

A wall is made of 200 mm of mineral wool and 25 mm of wood, with an area of 20 m². The outer faces are at 25 °C and -10 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.04 W/(m·K)L2 = 25 mm, k2 = 0.17 W/(m·K)A = 20 m²T1 = 25 °CT3 = -10 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17100 mmGlass, k = 0.96100 mm25 °C2 °CTi​ = ?Q̇

A wall is made of 100 mm of gypsum board and 100 mm of glass, with an area of 6 m². The outer faces are at 25 °C and 2 °C. Find the temperature Ti at the interface between the two layers.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.96 W/(m·K)A = 6 m²T1 = 25 °CT3 = 2 °C
Ti = °C
5.Hard
Concrete, k = 1.4250 mmGlass, k = 0.9625 mmroom 21 °Coutside -10 °CQ̇ = ?

A wall of 250 mm concrete and 25 mm glass separates a room at 21 °C from outside air at -10 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 6 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 1.4 W/(m·K)L2 = 25 mm, k2 = 0.96 W/(m·K)A = 6 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -10 °C
Q̇ = W
6.Hard
Brick, k = 0.72150 mmGypsum board, k = 0.17100 mmroom 22 °Coutside -7 °CQ̇ = ?

A wall of 150 mm brick and 100 mm gypsum board separates a room at 22 °C from outside air at -7 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 20 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = -7 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 15120 W
  2. 2. q″ = 16 W/m²
  3. 3. Q̇ = 136 W
  4. 4. Ti = 5.46 °C
  5. 5. Q̇ = 459.7 W
  6. 6. Q̇ = 594 W

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