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
Concrete, k = 1.4100 mm18 °C-13 °Cq″ = ?

A wall of concrete is 100 mm thick and has an area of 15 m². Its faces are held at 18 °C and -13 °C. Find the heat flux q″ through the wall.

k = 1.4 W/(m·K)L = 100 mmA = 15 m²T1 = 18 °CT2 = -13 °C
q″ = W/m²
2.Easy
Mineral wool, k = 0.0410 mm19 °C-3 °CQ̇ = ?

A wall of mineral wool is 10 mm thick and has an area of 15 m². Its faces are held at 19 °C and -3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 10 mmA = 15 m²T1 = 19 °CT2 = -3 °C
Q̇ = W
3.Medium
Gypsum board, k = 0.17100 mmMineral wool, k = 0.0450 mm22 °C6 °CQ̇ = ?

A wall is made of 100 mm of gypsum board and 50 mm of mineral wool, with an area of 10 m². The outer faces are at 22 °C and 6 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.04 W/(m·K)A = 10 m²T1 = 22 °CT3 = 6 °C
Q̇ = W
4.Medium
Brick, k = 0.72150 mmExpanded polystyrene, k = 0.03550 mm22 °C-12 °CQ̇ = ?

A wall is made of 150 mm of brick and 50 mm of expanded polystyrene, with an area of 20 m². The outer faces are at 22 °C and -12 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 20 m²T1 = 22 °CT3 = -12 °C
Q̇ = W
5.Hard
Gypsum board, k = 0.17150 mmMineral wool, k = 0.0475 mmroom 22 °Coutside -8 °CQ̇

A wall of 150 mm gypsum board and 75 mm mineral wool separates a room at 22 °C from outside air at -8 °C. The convection coefficients are 6 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 8 m². Find the overall heat transfer coefficient U of the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.04 W/(m·K)A = 8 m²hi = 6 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -8 °C
U = W/(m²·K)
6.Hard
Glass, k = 0.96200 mmMineral wool, k = 0.0475 mmroom 20 °Coutside 1 °CQ̇ = ?

A wall of 200 mm glass and 75 mm mineral wool separates a room at 20 °C from outside air at 1 °C. The convection coefficients are 10 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 15 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 0.96 W/(m·K)L2 = 75 mm, k2 = 0.04 W/(m·K)A = 15 m²hi = 10 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = 1 °C
Q̇ = W

Answer key

  1. 1. q″ = 434 W/m²
  2. 2. Q̇ = 1320 W
  3. 3. Q̇ = 87.04 W
  4. 4. Q̇ = 415.4 W
  5. 5. U = 0.3374 W/(m²·K)
  6. 6. Q̇ = 128.6 W

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