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
Wood, k = 0.17100 mm20 °C9 °CQ̇ = ?

A wall of wood is 100 mm thick and has an area of 8 m². Its faces are held at 20 °C and 9 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 100 mmA = 8 m²T1 = 20 °CT2 = 9 °C
Q̇ = W
2.Easy
Wood, k = 0.1720 mm16 °C-11 °Cq″ = ?

A wall of wood is 20 mm thick and has an area of 10 m². Its faces are held at 16 °C and -11 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 20 mmA = 10 m²T1 = 16 °CT2 = -11 °C
q″ = W/m²
3.Medium
Gypsum board, k = 0.17150 mmGlass, k = 0.96150 mm17 °C-12 °CQ̇ = ?

A wall is made of 150 mm of gypsum board and 150 mm of glass, with an area of 8 m². The outer faces are at 17 °C and -12 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.96 W/(m·K)A = 8 m²T1 = 17 °CT3 = -12 °C
Q̇ = W
4.Medium
Mineral wool, k = 0.04100 mmWood, k = 0.1775 mm16 °C-12 °CQ̇ = ?

A wall is made of 100 mm of mineral wool and 75 mm of wood, with an area of 12 m². The outer faces are at 16 °C and -12 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.04 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 12 m²T1 = 16 °CT3 = -12 °C
Q̇ = W
5.Hard
Gypsum board, k = 0.17150 mmConcrete, k = 1.450 mmroom 22 °Coutside -3 °CQ̇

A wall of 150 mm gypsum board and 50 mm concrete separates a room at 22 °C from outside air at -3 °C. The convection coefficients are 7.7 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 6 m². Find the overall heat transfer coefficient U of the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 6 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -3 °C
U = W/(m²·K)
6.Hard
Wood, k = 0.17250 mmGlass, k = 0.9650 mmroom 20 °Coutside -11 °CQ̇

A wall of 250 mm wood and 50 mm glass separates a room at 20 °C from outside air at -11 °C. The convection coefficients are 8 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 15 m². Find the overall heat transfer coefficient U of the wall.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.96 W/(m·K)A = 15 m²hi = 8 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = -11 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 149.6 W
  2. 2. q″ = 229.5 W/m²
  3. 3. Q̇ = 223.4 W
  4. 4. Q̇ = 114.2 W
  5. 5. U = 0.9248 W/(m²·K)
  6. 6. U = 0.5949 W/(m²·K)

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