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 = 0.1710 mm15 °C2 °CQ̇ = ?

A wall of gypsum board is 10 mm thick and has an area of 20 m². Its faces are held at 15 °C and 2 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 10 mmA = 20 m²T1 = 15 °CT2 = 2 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.0450 mm18 °C-12 °Cq″ = ?

A wall of mineral wool is 50 mm thick and has an area of 10 m². Its faces are held at 18 °C and -12 °C. Find the heat flux q″ through the wall.

k = 0.04 W/(m·K)L = 50 mmA = 10 m²T1 = 18 °CT2 = -12 °C
q″ = W/m²
3.Medium
Glass, k = 0.96150 mmGypsum board, k = 0.1725 mm25 °C2 °CQ̇ = ?

A wall is made of 150 mm of glass and 25 mm of gypsum board, with an area of 10 m². The outer faces are at 25 °C and 2 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 0.17 W/(m·K)A = 10 m²T1 = 25 °CT3 = 2 °C
Q̇ = W
4.Medium
Brick, k = 0.72200 mmExpanded polystyrene, k = 0.03525 mm18 °C2 °CTi​ = ?Q̇

A wall is made of 200 mm of brick and 25 mm of expanded polystyrene, with an area of 6 m². The outer faces are at 18 °C and 2 °C. Find the temperature Ti at the interface between the two layers.

L1 = 200 mm, k1 = 0.72 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 6 m²T1 = 18 °CT3 = 2 °C
Ti = °C
5.Hard
Mineral wool, k = 0.04200 mmWood, k = 0.17100 mmroom 20 °Coutside -8 °CQ̇ = ?

A wall of 200 mm mineral wool and 100 mm wood separates a room at 20 °C from outside air at -8 °C. The convection coefficients are 10 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 4 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 0.04 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 4 m²hi = 10 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = -8 °C
Q̇ = W
6.Hard
Wood, k = 0.17150 mmGypsum board, k = 0.17100 mmroom 22 °Coutside -13 °CTs​ = ?Q̇

A wall of 150 mm wood and 100 mm gypsum board separates a room at 22 °C from outside air at -13 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 12 m². Find the temperature Ts of the inside surface of the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 12 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -13 °C
Ts = °C

Answer key

  1. 1. Q̇ = 4420 W
  2. 2. q″ = 24 W/m²
  3. 3. Q̇ = 758.3 W
  4. 4. Ti = 13.52 °C
  5. 5. Q̇ = 19.58 W
  6. 6. Ts = 18.51 °C

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