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
Brick, k = 0.72100 mm23 °C-11 °CQ̇ = ?

A wall of brick is 100 mm thick and has an area of 8 m². Its faces are held at 23 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.72 W/(m·K)L = 100 mmA = 8 m²T1 = 23 °CT2 = -11 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.04250 mm25 °C7 °CQ̇ = ?

A wall of mineral wool is 250 mm thick and has an area of 8 m². Its faces are held at 25 °C and 7 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 250 mmA = 8 m²T1 = 25 °CT2 = 7 °C
Q̇ = W
3.Medium
Brick, k = 0.72150 mmGypsum board, k = 0.17100 mm25 °C-10 °CQ̇ = ?

A wall is made of 150 mm of brick and 100 mm of gypsum board, with an area of 10 m². The outer faces are at 25 °C and -10 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 10 m²T1 = 25 °CT3 = -10 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17200 mmWood, k = 0.1775 mm17 °C5 °CQ̇ = ?

A wall is made of 200 mm of gypsum board and 75 mm of wood, with an area of 6 m². The outer faces are at 17 °C and 5 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 6 m²T1 = 17 °CT3 = 5 °C
Q̇ = W
5.Hard
Concrete, k = 1.4250 mmWood, k = 0.1775 mmroom 21 °Coutside -5 °CQ̇ = ?

A wall of 250 mm concrete and 75 mm wood separates a room at 21 °C from outside air at -5 °C. The convection coefficients are 8 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 4 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 1.4 W/(m·K)L2 = 75 mm, k2 = 0.17 W/(m·K)A = 4 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -5 °C
Q̇ = W
6.Hard
Mineral wool, k = 0.04250 mmGlass, k = 0.9650 mmroom 21 °Coutside 0 °CQ̇ = ?

A wall of 250 mm mineral wool and 50 mm glass separates a room at 21 °C from outside air at 0 °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 = 250 mm, k1 = 0.04 W/(m·K)L2 = 50 mm, k2 = 0.96 W/(m·K)A = 20 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = 0 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 1958 W
  2. 2. Q̇ = 23.04 W
  3. 3. Q̇ = 439.4 W
  4. 4. Q̇ = 44.51 W
  5. 5. Q̇ = 130.9 W
  6. 6. Q̇ = 65.1 W

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