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
Mineral wool, k = 0.04200 mm24 °C-13 °CQ̇ = ?

A wall of mineral wool is 200 mm thick and has an area of 15 m². Its faces are held at 24 °C and -13 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 200 mmA = 15 m²T1 = 24 °CT2 = -13 °C
Q̇ = W
2.Easy
Concrete, k = 1.450 mm25 °C7 °CQ̇ = ?

A wall of concrete is 50 mm thick and has an area of 10 m². Its faces are held at 25 °C and 7 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 50 mmA = 10 m²T1 = 25 °CT2 = 7 °C
Q̇ = W
3.Medium
Glass, k = 0.96100 mmConcrete, k = 1.4150 mm24 °C6 °CQ̇ = ?

A wall is made of 100 mm of glass and 150 mm of concrete, with an area of 10 m². The outer faces are at 24 °C and 6 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 150 mm, k2 = 1.4 W/(m·K)A = 10 m²T1 = 24 °CT3 = 6 °C
Q̇ = W
4.Medium
Concrete, k = 1.4200 mmGypsum board, k = 0.1750 mm19 °C5 °CTi​ = ?Q̇

A wall is made of 200 mm of concrete and 50 mm of gypsum board, with an area of 8 m². The outer faces are at 19 °C and 5 °C. Find the temperature Ti at the interface between the two layers.

L1 = 200 mm, k1 = 1.4 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 8 m²T1 = 19 °CT3 = 5 °C
Ti = °C
5.Hard
Expanded polystyrene, k = 0.035100 mmGypsum board, k = 0.1775 mmroom 22 °Coutside 0 °CQ̇

A wall of 100 mm expanded polystyrene and 75 mm gypsum board separates a room at 22 °C from outside air at 0 °C. The convection coefficients are 6 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 10 m². Find the overall heat transfer coefficient U of the wall.

L1 = 100 mm, k1 = 0.035 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 10 m²hi = 6 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = 0 °C
U = W/(m²·K)
6.Hard
Brick, k = 0.72200 mmGypsum board, k = 0.1775 mmroom 22 °Coutside -6 °CQ̇ = ?

A wall of 200 mm brick and 75 mm gypsum board separates a room at 22 °C from outside air at -6 °C. The convection coefficients are 7.7 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 6 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 0.72 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 7.7 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -6 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 111 W
  2. 2. Q̇ = 5040 W
  3. 3. Q̇ = 851.8 W
  4. 4. Ti = 14.42 °C
  5. 5. U = 0.2853 W/(m²·K)
  6. 6. Q̇ = 189 W

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