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 = 0.04150 mm15 °C3 °CQ̇ = ?

A wall of mineral wool is 150 mm thick and has an area of 10 m². Its faces are held at 15 °C and 3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 150 mmA = 10 m²T1 = 15 °CT2 = 3 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.17250 mm17 °C10 °CQ̇ = ?

A wall of gypsum board is 250 mm thick and has an area of 4 m². Its faces are held at 17 °C and 10 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 250 mmA = 4 m²T1 = 17 °CT2 = 10 °C
Q̇ = W
3.Medium
Wood, k = 0.17100 mmGypsum board, k = 0.1750 mm24 °C-3 °CQ̇ = ?

A wall is made of 100 mm of wood and 50 mm of gypsum board, with an area of 6 m². The outer faces are at 24 °C and -3 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 6 m²T1 = 24 °CT3 = -3 °C
Q̇ = W
4.Medium
Brick, k = 0.72100 mmWood, k = 0.17150 mm23 °C7 °CTi​ = ?Q̇

A wall is made of 100 mm of brick and 150 mm of wood, with an area of 12 m². The outer faces are at 23 °C and 7 °C. Find the temperature Ti at the interface between the two layers.

L1 = 100 mm, k1 = 0.72 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 12 m²T1 = 23 °CT3 = 7 °C
Ti = °C
5.Hard
Gypsum board, k = 0.17200 mmBrick, k = 0.7275 mmroom 22 °Coutside -1 °CQ̇ = ?

A wall of 200 mm gypsum board and 75 mm brick separates a room at 22 °C from outside air at -1 °C. The convection coefficients are 6 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 6 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 6 m²hi = 6 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = -1 °C
Q̇ = W
6.Hard
Brick, k = 0.72250 mmMineral wool, k = 0.0450 mmroom 22 °Coutside -7 °CQ̇ = ?

A wall of 250 mm brick and 50 mm mineral wool separates a room at 22 °C from outside air at -7 °C. The convection coefficients are 6 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 4 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 0.04 W/(m·K)A = 4 m²hi = 6 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -7 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 32 W
  2. 2. Q̇ = 19.04 W
  3. 3. Q̇ = 183.6 W
  4. 4. Ti = 20.82 °C
  5. 5. Q̇ = 92.17 W
  6. 6. Q̇ = 64.31 W

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