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 = 0.72200 mm25 °C6 °CQ̇ = ?

A wall of brick is 200 mm thick and has an area of 20 m². Its faces are held at 25 °C and 6 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.72 W/(m·K)L = 200 mmA = 20 m²T1 = 25 °CT2 = 6 °C
Q̇ = W
2.Easy
Expanded polystyrene, k = 0.035100 mm19 °C-2 °Cq″ = ?

A wall of expanded polystyrene is 100 mm thick and has an area of 4 m². Its faces are held at 19 °C and -2 °C. Find the heat flux q″ through the wall.

k = 0.035 W/(m·K)L = 100 mmA = 4 m²T1 = 19 °CT2 = -2 °C
q″ = W/m²
3.Medium
Mineral wool, k = 0.04250 mmGlass, k = 0.96100 mm17 °C-9 °CQ̇ = ?

A wall is made of 250 mm of mineral wool and 100 mm of glass, with an area of 15 m². The outer faces are at 17 °C and -9 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 100 mm, k2 = 0.96 W/(m·K)A = 15 m²T1 = 17 °CT3 = -9 °C
Q̇ = W
4.Medium
Wood, k = 0.17200 mmGlass, k = 0.96150 mm17 °C-3 °CQ̇ = ?

A wall is made of 200 mm of wood and 150 mm of glass, with an area of 12 m². The outer faces are at 17 °C and -3 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.96 W/(m·K)A = 12 m²T1 = 17 °CT3 = -3 °C
Q̇ = W
5.Hard
Expanded polystyrene, k = 0.035150 mmGypsum board, k = 0.1775 mmroom 20 °Coutside -6 °CQ̇

A wall of 150 mm expanded polystyrene and 75 mm gypsum board separates a room at 20 °C from outside air at -6 °C. The convection coefficients are 8 W/(m²·K) inside and 20 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 = 0.035 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 8 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -6 °C
U = W/(m²·K)
6.Hard
Glass, k = 0.96200 mmBrick, k = 0.7225 mmroom 20 °Coutside -4 °CQ̇

A wall of 200 mm glass and 25 mm brick separates a room at 20 °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 overall heat transfer coefficient U of the wall.

L1 = 200 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 0.72 W/(m·K)A = 6 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -4 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 1368 W
  2. 2. q″ = 7.35 W/m²
  3. 3. Q̇ = 61.38 W
  4. 4. Q̇ = 180.1 W
  5. 5. U = 0.204 W/(m²·K)
  6. 6. U = 2.392 W/(m²·K)

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