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 = 0.1720 mm24 °C6 °Cq″ = ?

A wall of gypsum board is 20 mm thick and has an area of 10 m². Its faces are held at 24 °C and 6 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 20 mmA = 10 m²T1 = 24 °CT2 = 6 °C
q″ = W/m²
2.Easy
Glass, k = 0.96150 mm23 °C-14 °Cq″ = ?

A wall of glass is 150 mm thick and has an area of 10 m². Its faces are held at 23 °C and -14 °C. Find the heat flux q″ through the wall.

k = 0.96 W/(m·K)L = 150 mmA = 10 m²T1 = 23 °CT2 = -14 °C
q″ = W/m²
3.Medium
Expanded polystyrene, k = 0.035250 mmWood, k = 0.1775 mm23 °C2 °CQ̇ = ?

A wall is made of 250 mm of expanded polystyrene and 75 mm of wood, with an area of 4 m². The outer faces are at 23 °C and 2 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.035 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 4 m²T1 = 23 °CT3 = 2 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17200 mmBrick, k = 0.7225 mm22 °C-10 °CQ̇ = ?

A wall is made of 200 mm of gypsum board and 25 mm of brick, with an area of 12 m². The outer faces are at 22 °C and -10 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 0.72 W/(m·K)A = 12 m²T1 = 22 °CT3 = -10 °C
Q̇ = W
5.Hard
Brick, k = 0.72250 mmWood, k = 0.1750 mmroom 20 °Coutside -9 °CQ̇ = ?

A wall of 250 mm brick 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 30 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 20 m²hi = 8 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = -9 °C
Q̇ = W
6.Hard
Expanded polystyrene, k = 0.035250 mmConcrete, k = 1.4150 mmroom 22 °Coutside -13 °CQ̇ = ?

A wall of 250 mm expanded polystyrene and 150 mm concrete separates a room at 22 °C from outside air at -13 °C. The convection coefficients are 7.7 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 4 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.035 W/(m·K)L2 = 150 mm, k2 = 1.4 W/(m·K)A = 4 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -13 °C
Q̇ = W

Answer key

  1. 1. q″ = 153 W/m²
  2. 2. q″ = 236.8 W/m²
  3. 3. Q̇ = 11.08 W
  4. 4. Q̇ = 317 W
  5. 5. Q̇ = 725.3 W
  6. 6. Q̇ = 18.89 W

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