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
Brick, k = 0.72150 mm24 °C-12 °CQ̇ = ?

A wall of brick is 150 mm thick and has an area of 10 m². Its faces are held at 24 °C and -12 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.72 W/(m·K)L = 150 mmA = 10 m²T1 = 24 °CT2 = -12 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.17200 mm20 °C8 °CQ̇ = ?

A wall of gypsum board is 200 mm thick and has an area of 4 m². Its faces are held at 20 °C and 8 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 200 mmA = 4 m²T1 = 20 °CT2 = 8 °C
Q̇ = W
3.Medium
Gypsum board, k = 0.1750 mmConcrete, k = 1.425 mm21 °C-4 °CQ̇ = ?

A wall is made of 50 mm of gypsum board and 25 mm of concrete, with an area of 10 m². The outer faces are at 21 °C and -4 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 1.4 W/(m·K)A = 10 m²T1 = 21 °CT3 = -4 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17250 mmConcrete, k = 1.4100 mm24 °C-14 °CTi​ = ?Q̇

A wall is made of 250 mm of gypsum board and 100 mm of concrete, with an area of 20 m². The outer faces are at 24 °C and -14 °C. Find the temperature Ti at the interface between the two layers.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 1.4 W/(m·K)A = 20 m²T1 = 24 °CT3 = -14 °C
Ti = °C
5.Hard
Mineral wool, k = 0.04150 mmExpanded polystyrene, k = 0.03525 mmroom 22 °Coutside -10 °CQ̇

A wall of 150 mm mineral wool and 25 mm expanded polystyrene separates a room at 22 °C from outside air at -10 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 20 m². Find the overall heat transfer coefficient U of the wall.

L1 = 150 mm, k1 = 0.04 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 20 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -10 °C
U = W/(m²·K)
6.Hard
Wood, k = 0.17250 mmConcrete, k = 1.4150 mmroom 20 °Coutside 3 °CQ̇ = ?

A wall of 250 mm wood and 150 mm concrete separates a room at 20 °C from outside air at 3 °C. The convection coefficients are 8 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 1.4 W/(m·K)A = 20 m²hi = 8 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = 3 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 1728 W
  2. 2. Q̇ = 40.8 W
  3. 3. Q̇ = 801.3 W
  4. 4. Ti = −12.24 °C
  5. 5. U = 0.216 W/(m²·K)
  6. 6. Q̇ = 195.8 W

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