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 mm21 °C2 °CQ̇ = ?

A wall of mineral wool is 150 mm thick and has an area of 6 m². Its faces are held at 21 °C and 2 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 150 mmA = 6 m²T1 = 21 °CT2 = 2 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.0420 mm21 °C2 °CQ̇ = ?

A wall of mineral wool is 20 mm thick and has an area of 12 m². Its faces are held at 21 °C and 2 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 20 mmA = 12 m²T1 = 21 °CT2 = 2 °C
Q̇ = W
3.Medium
Wood, k = 0.17200 mmGypsum board, k = 0.17150 mm15 °C-15 °CQ̇ = ?

A wall is made of 200 mm of wood and 150 mm of gypsum board, with an area of 8 m². The outer faces are at 15 °C and -15 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 8 m²T1 = 15 °CT3 = -15 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17100 mmBrick, k = 0.72150 mm21 °C6 °CQ̇ = ?

A wall is made of 100 mm of gypsum board and 150 mm of brick, with an area of 15 m². The outer faces are at 21 °C and 6 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.72 W/(m·K)A = 15 m²T1 = 21 °CT3 = 6 °C
Q̇ = W
5.Hard
Wood, k = 0.17100 mmBrick, k = 0.7275 mmroom 20 °Coutside -7 °CQ̇ = ?

A wall of 100 mm wood and 75 mm brick separates a room at 20 °C from outside air at -7 °C. The convection coefficients are 10 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 20 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -7 °C
Q̇ = W
6.Hard
Concrete, k = 1.4200 mmGypsum board, k = 0.17100 mmroom 21 °Coutside -12 °CQ̇ = ?

A wall of 200 mm concrete and 100 mm gypsum board separates a room at 21 °C from outside air at -12 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 4 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 1.4 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 4 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -12 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 30.4 W
  2. 2. Q̇ = 456 W
  3. 3. Q̇ = 116.6 W
  4. 4. Q̇ = 282.5 W
  5. 5. Q̇ = 648.7 W
  6. 6. Q̇ = 149.8 W

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