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 = 0.04100 mm21 °C-15 °CQ̇ = ?

A wall of mineral wool is 100 mm thick and has an area of 8 m². Its faces are held at 21 °C and -15 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 100 mmA = 8 m²T1 = 21 °CT2 = -15 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.1720 mm17 °C-5 °Cq″ = ?

A wall of gypsum board is 20 mm thick and has an area of 10 m². Its faces are held at 17 °C and -5 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 20 mmA = 10 m²T1 = 17 °CT2 = -5 °C
q″ = W/m²
3.Medium
Wood, k = 0.17200 mmGlass, k = 0.9675 mm24 °C-6 °CQ̇ = ?

A wall is made of 200 mm of wood and 75 mm of glass, with an area of 4 m². The outer faces are at 24 °C and -6 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 4 m²T1 = 24 °CT3 = -6 °C
Q̇ = W
4.Medium
Mineral wool, k = 0.04250 mmBrick, k = 0.72100 mm23 °C-15 °CQ̇ = ?

A wall is made of 250 mm of mineral wool and 100 mm of brick, with an area of 6 m². The outer faces are at 23 °C and -15 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 100 mm, k2 = 0.72 W/(m·K)A = 6 m²T1 = 23 °CT3 = -15 °C
Q̇ = W
5.Hard
Gypsum board, k = 0.1750 mmWood, k = 0.1750 mmroom 20 °Coutside -2 °CQ̇ = ?

A wall of 50 mm gypsum board and 50 mm wood separates a room at 20 °C from outside air at -2 °C. The convection coefficients are 8 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 10 m². Find the heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 10 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -2 °C
Q̇ = W
6.Hard
Expanded polystyrene, k = 0.035150 mmWood, k = 0.17150 mmroom 21 °Coutside 4 °CQ̇ = ?

A wall of 150 mm expanded polystyrene and 150 mm wood separates a room at 21 °C from outside air at 4 °C. The convection coefficients are 8 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 = 150 mm, k1 = 0.035 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = 4 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 115.2 W
  2. 2. q″ = 187 W/m²
  3. 3. Q̇ = 95.65 W
  4. 4. Q̇ = 35.69 W
  5. 5. Q̇ = 288.2 W
  6. 6. Q̇ = 19.09 W

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