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
Concrete, k = 1.4250 mm21 °C-13 °Cq″ = ?

A wall of concrete is 250 mm thick and has an area of 8 m². Its faces are held at 21 °C and -13 °C. Find the heat flux q″ through the wall.

k = 1.4 W/(m·K)L = 250 mmA = 8 m²T1 = 21 °CT2 = -13 °C
q″ = W/m²
2.Easy
Gypsum board, k = 0.1750 mm22 °C-11 °CQ̇ = ?

A wall of gypsum board is 50 mm thick and has an area of 15 m². Its faces are held at 22 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 50 mmA = 15 m²T1 = 22 °CT2 = -11 °C
Q̇ = W
3.Medium
Wood, k = 0.17100 mmBrick, k = 0.72100 mm19 °C9 °CQ̇ = ?

A wall is made of 100 mm of wood and 100 mm of brick, with an area of 4 m². The outer faces are at 19 °C and 9 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.72 W/(m·K)A = 4 m²T1 = 19 °CT3 = 9 °C
Q̇ = W
4.Medium
Concrete, k = 1.4150 mmGlass, k = 0.9625 mm16 °C7 °CQ̇ = ?

A wall is made of 150 mm of concrete and 25 mm of glass, with an area of 4 m². The outer faces are at 16 °C and 7 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 1.4 W/(m·K)L2 = 25 mm, k2 = 0.96 W/(m·K)A = 4 m²T1 = 16 °CT3 = 7 °C
Q̇ = W
5.Hard
Concrete, k = 1.450 mmMineral wool, k = 0.04100 mmroom 21 °Coutside -10 °CQ̇ = ?

A wall of 50 mm concrete and 100 mm mineral wool separates a room at 21 °C from outside air at -10 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 1.4 W/(m·K)L2 = 100 mm, k2 = 0.04 W/(m·K)A = 20 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -10 °C
Q̇ = W
6.Hard
Wood, k = 0.17100 mmGypsum board, k = 0.1725 mmroom 20 °Coutside -11 °CQ̇ = ?

A wall of 100 mm wood and 25 mm gypsum board separates a room at 20 °C from outside air at -11 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 0.17 W/(m·K)A = 20 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -11 °C
Q̇ = W

Answer key

  1. 1. q″ = 190.4 W/m²
  2. 2. Q̇ = 1683 W
  3. 3. Q̇ = 55.01 W
  4. 4. Q̇ = 270.3 W
  5. 5. Q̇ = 230.9 W
  6. 6. Q̇ = 677.5 W

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