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
Gypsum board, k = 0.1710 mm15 °C-2 °Cq″ = ?

A wall of gypsum board is 10 mm thick and has an area of 8 m². Its faces are held at 15 °C and -2 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 10 mmA = 8 m²T1 = 15 °CT2 = -2 °C
q″ = W/m²
2.Easy
Expanded polystyrene, k = 0.03550 mm19 °C-14 °CQ̇ = ?

A wall of expanded polystyrene is 50 mm thick and has an area of 8 m². Its faces are held at 19 °C and -14 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.035 W/(m·K)L = 50 mmA = 8 m²T1 = 19 °CT2 = -14 °C
Q̇ = W
3.Medium
Brick, k = 0.72250 mmGlass, k = 0.9675 mm17 °C6 °CTi​ = ?Q̇

A wall is made of 250 mm of brick and 75 mm of glass, with an area of 6 m². The outer faces are at 17 °C and 6 °C. Find the temperature Ti at the interface between the two layers.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 6 m²T1 = 17 °CT3 = 6 °C
Ti = °C
4.Medium
Gypsum board, k = 0.17250 mmConcrete, k = 1.450 mm23 °C-8 °CQ̇ = ?

A wall is made of 250 mm of gypsum board and 50 mm of concrete, with an area of 10 m². The outer faces are at 23 °C and -8 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 10 m²T1 = 23 °CT3 = -8 °C
Q̇ = W
5.Hard
Expanded polystyrene, k = 0.03550 mmGypsum board, k = 0.17100 mmroom 22 °Coutside -15 °CTs​ = ?Q̇

A wall of 50 mm expanded polystyrene and 100 mm gypsum board separates a room at 22 °C from outside air at -15 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 15 m². Find the temperature Ts of the inside surface of the wall.

L1 = 50 mm, k1 = 0.035 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 15 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = -15 °C
Ts = °C
6.Hard
Glass, k = 0.9650 mmWood, k = 0.1750 mmroom 20 °Coutside -9 °CQ̇ = ?

A wall of 50 mm glass and 50 mm wood separates a room at 20 °C from outside air at -9 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 6 m². Find the heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 0.96 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -9 °C
Q̇ = W

Answer key

  1. 1. q″ = 289 W/m²
  2. 2. Q̇ = 184.8 W
  3. 3. Ti = 8.02 °C
  4. 4. Q̇ = 205.8 W
  5. 5. Ts = 19.81 °C
  6. 6. Q̇ = 340.4 W

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