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 mm18 °C1 °CQ̇ = ?

A wall of gypsum board is 20 mm thick and has an area of 4 m². Its faces are held at 18 °C and 1 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 20 mmA = 4 m²T1 = 18 °CT2 = 1 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.04250 mm21 °C4 °Cq″ = ?

A wall of mineral wool is 250 mm thick and has an area of 20 m². Its faces are held at 21 °C and 4 °C. Find the heat flux q″ through the wall.

k = 0.04 W/(m·K)L = 250 mmA = 20 m²T1 = 21 °CT2 = 4 °C
q″ = W/m²
3.Medium
Wood, k = 0.17100 mmBrick, k = 0.72100 mm24 °C-5 °CQ̇ = ?

A wall is made of 100 mm of wood and 100 mm of brick, with an area of 10 m². The outer faces are at 24 °C and -5 °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 = 10 m²T1 = 24 °CT3 = -5 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17100 mmMineral wool, k = 0.04100 mm17 °C8 °CQ̇ = ?

A wall is made of 100 mm of gypsum board and 100 mm of mineral wool, with an area of 8 m². The outer faces are at 17 °C and 8 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.04 W/(m·K)A = 8 m²T1 = 17 °CT3 = 8 °C
Q̇ = W
5.Hard
Mineral wool, k = 0.04250 mmBrick, k = 0.7275 mmroom 20 °Coutside -11 °CQ̇

A wall of 250 mm mineral wool and 75 mm brick separates a room at 20 °C from outside air at -11 °C. The convection coefficients are 8 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 6 m². Find the overall heat transfer coefficient U of the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 6 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -11 °C
U = W/(m²·K)
6.Hard
Brick, k = 0.72100 mmGypsum board, k = 0.17100 mmroom 22 °Coutside 5 °CQ̇

A wall of 100 mm brick and 100 mm gypsum board separates a room at 22 °C from outside air at 5 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 10 m². Find the overall heat transfer coefficient U of the wall.

L1 = 100 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 10 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = 5 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 578 W
  2. 2. q″ = 2.72 W/m²
  3. 3. Q̇ = 398.8 W
  4. 4. Q̇ = 23.31 W
  5. 5. U = 0.1532 W/(m²·K)
  6. 6. U = 1.103 W/(m²·K)

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