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 = 0.1750 mm25 °C-1 °CQ̇ = ?

A wall of gypsum board is 50 mm thick and has an area of 15 m². Its faces are held at 25 °C and -1 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 50 mmA = 15 m²T1 = 25 °CT2 = -1 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.17150 mm19 °C-12 °Cq″ = ?

A wall of gypsum board is 150 mm thick and has an area of 8 m². Its faces are held at 19 °C and -12 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 150 mmA = 8 m²T1 = 19 °CT2 = -12 °C
q″ = W/m²
3.Medium
Wood, k = 0.1750 mmBrick, k = 0.7275 mm19 °C-3 °CQ̇ = ?

A wall is made of 50 mm of wood and 75 mm of brick, with an area of 12 m². The outer faces are at 19 °C and -3 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 12 m²T1 = 19 °CT3 = -3 °C
Q̇ = W
4.Medium
Expanded polystyrene, k = 0.035150 mmMineral wool, k = 0.0425 mm22 °C-7 °CQ̇ = ?

A wall is made of 150 mm of expanded polystyrene and 25 mm of mineral wool, with an area of 10 m². The outer faces are at 22 °C and -7 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.035 W/(m·K)L2 = 25 mm, k2 = 0.04 W/(m·K)A = 10 m²T1 = 22 °CT3 = -7 °C
Q̇ = W
5.Hard
Expanded polystyrene, k = 0.03550 mmGypsum board, k = 0.1775 mmroom 21 °Coutside -12 °CQ̇ = ?

A wall of 50 mm expanded polystyrene and 75 mm gypsum board separates a room at 21 °C from outside air at -12 °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 heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 0.035 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -12 °C
Q̇ = W
6.Hard
Expanded polystyrene, k = 0.035250 mmGlass, k = 0.9675 mmroom 22 °Coutside 2 °CQ̇ = ?

A wall of 250 mm expanded polystyrene and 75 mm glass separates a room at 22 °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 15 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.035 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 15 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = 2 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 1326 W
  2. 2. q″ = 35.13 W/m²
  3. 3. Q̇ = 662.8 W
  4. 4. Q̇ = 59.05 W
  5. 5. Q̇ = 97.4 W
  6. 6. Q̇ = 40.63 W

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