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
Glass, k = 0.9620 mm19 °C-11 °CQ̇ = ?

A wall of glass is 20 mm thick and has an area of 6 m². Its faces are held at 19 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.96 W/(m·K)L = 20 mmA = 6 m²T1 = 19 °CT2 = -11 °C
Q̇ = W
2.Easy
Wood, k = 0.17250 mm24 °C10 °Cq″ = ?

A wall of wood is 250 mm thick and has an area of 10 m². Its faces are held at 24 °C and 10 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 250 mmA = 10 m²T1 = 24 °CT2 = 10 °C
q″ = W/m²
3.Medium
Gypsum board, k = 0.17150 mmExpanded polystyrene, k = 0.03575 mm17 °C-1 °CQ̇ = ?

A wall is made of 150 mm of gypsum board and 75 mm of expanded polystyrene, with an area of 6 m². The outer faces are at 17 °C and -1 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.035 W/(m·K)A = 6 m²T1 = 17 °CT3 = -1 °C
Q̇ = W
4.Medium
Glass, k = 0.96100 mmExpanded polystyrene, k = 0.03525 mm23 °C-4 °CQ̇ = ?

A wall is made of 100 mm of glass and 25 mm of expanded polystyrene, with an area of 10 m². The outer faces are at 23 °C and -4 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 10 m²T1 = 23 °CT3 = -4 °C
Q̇ = W
5.Hard
Wood, k = 0.17150 mmGypsum board, k = 0.17150 mmroom 20 °Coutside -7 °CQ̇

A wall of 150 mm wood and 150 mm gypsum board separates a room at 20 °C from outside air at -7 °C. The convection coefficients are 6 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 10 m². Find the overall heat transfer coefficient U of the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 10 m²hi = 6 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -7 °C
U = W/(m²·K)
6.Hard
Mineral wool, k = 0.0450 mmExpanded polystyrene, k = 0.03525 mmroom 22 °Coutside -5 °CQ̇

A wall of 50 mm mineral wool and 25 mm expanded polystyrene separates a room at 22 °C from outside air at -5 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 10 m². Find the overall heat transfer coefficient U of the wall.

L1 = 50 mm, k1 = 0.04 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 10 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -5 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 8640 W
  2. 2. q″ = 9.52 W/m²
  3. 3. Q̇ = 35.7 W
  4. 4. Q̇ = 329.9 W
  5. 5. U = 0.5047 W/(m²·K)
  6. 6. U = 0.462 W/(m²·K)

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