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 mm25 °C9 °Cq″ = ?

A wall of gypsum board is 20 mm thick and has an area of 8 m². Its faces are held at 25 °C and 9 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 20 mmA = 8 m²T1 = 25 °CT2 = 9 °C
q″ = W/m²
2.Easy
Mineral wool, k = 0.0420 mm19 °C-12 °Cq″ = ?

A wall of mineral wool is 20 mm thick and has an area of 10 m². Its faces are held at 19 °C and -12 °C. Find the heat flux q″ through the wall.

k = 0.04 W/(m·K)L = 20 mmA = 10 m²T1 = 19 °CT2 = -12 °C
q″ = W/m²
3.Medium
Brick, k = 0.7250 mmGypsum board, k = 0.17100 mm21 °C4 °CQ̇ = ?

A wall is made of 50 mm of brick and 100 mm of gypsum board, with an area of 12 m². The outer faces are at 21 °C and 4 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 12 m²T1 = 21 °CT3 = 4 °C
Q̇ = W
4.Medium
Wood, k = 0.17100 mmBrick, k = 0.7250 mm19 °C-10 °CQ̇ = ?

A wall is made of 100 mm of wood and 50 mm of brick, with an area of 12 m². The outer faces are at 19 °C and -10 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.72 W/(m·K)A = 12 m²T1 = 19 °CT3 = -10 °C
Q̇ = W
5.Hard
Wood, k = 0.1750 mmConcrete, k = 1.450 mmroom 20 °Coutside 2 °CTs​ = ?Q̇

A wall of 50 mm wood and 50 mm concrete separates a room at 20 °C from outside air at 2 °C. The convection coefficients are 7.7 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 8 m². Find the temperature Ts of the inside surface of the wall.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 8 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = 2 °C
Ts = °C
6.Hard
Expanded polystyrene, k = 0.035100 mmGypsum board, k = 0.1750 mmroom 20 °Coutside -6 °CTs​ = ?Q̇

A wall of 100 mm expanded polystyrene and 50 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 30 W/(m²·K) outside, and the wall area is 20 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 0.035 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 = -6 °C
Ts = °C

Answer key

  1. 1. q″ = 136 W/m²
  2. 2. q″ = 62 W/m²
  3. 3. Q̇ = 310.2 W
  4. 4. Q̇ = 529.1 W
  5. 5. Ts = 15.26 °C
  6. 6. Ts = 19.02 °C

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