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 = 0.0410 mm15 °C8 °CQ̇ = ?

A wall of mineral wool is 10 mm thick and has an area of 4 m². Its faces are held at 15 °C and 8 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 10 mmA = 4 m²T1 = 15 °CT2 = 8 °C
Q̇ = W
2.Easy
Concrete, k = 1.410 mm22 °C-10 °CQ̇ = ?

A wall of concrete is 10 mm thick and has an area of 15 m². Its faces are held at 22 °C and -10 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 10 mmA = 15 m²T1 = 22 °CT2 = -10 °C
Q̇ = W
3.Medium
Brick, k = 0.72200 mmConcrete, k = 1.4100 mm25 °C10 °CQ̇ = ?

A wall is made of 200 mm of brick and 100 mm of concrete, with an area of 15 m². The outer faces are at 25 °C and 10 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 1.4 W/(m·K)A = 15 m²T1 = 25 °CT3 = 10 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17250 mmGlass, k = 0.9650 mm25 °C10 °CTi​ = ?Q̇

A wall is made of 250 mm of gypsum board and 50 mm of glass, with an area of 10 m². The outer faces are at 25 °C and 10 °C. Find the temperature Ti at the interface between the two layers.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.96 W/(m·K)A = 10 m²T1 = 25 °CT3 = 10 °C
Ti = °C
5.Hard
Wood, k = 0.17150 mmConcrete, k = 1.4150 mmroom 22 °Coutside -2 °CQ̇ = ?

A wall of 150 mm wood and 150 mm concrete separates a room at 22 °C from outside air at -2 °C. The convection coefficients are 8 W/(m²·K) inside and 25 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 = 150 mm, k2 = 1.4 W/(m·K)A = 10 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -2 °C
Q̇ = W
6.Hard
Brick, k = 0.72200 mmExpanded polystyrene, k = 0.035150 mmroom 20 °Coutside -13 °CQ̇

A wall of 200 mm brick and 150 mm expanded polystyrene separates a room at 20 °C from outside air at -13 °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 overall heat transfer coefficient U of the wall.

L1 = 200 mm, k1 = 0.72 W/(m·K)L2 = 150 mm, k2 = 0.035 W/(m·K)A = 6 m²hi = 7.7 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -13 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 112 W
  2. 2. Q̇ = 67200 W
  3. 3. Q̇ = 644.3 W
  4. 4. Ti = 10.51 °C
  5. 5. Q̇ = 207.9 W
  6. 6. U = 0.2113 W/(m²·K)

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