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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
Gypsum board, k = 0.17200 mm22 °C5 °CQ̇ = ?

A wall of gypsum board is 200 mm thick and has an area of 6 m². Its faces are held at 22 °C and 5 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 200 mmA = 6 m²T1 = 22 °CT2 = 5 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.0410 mm22 °C-1 °CQ̇ = ?

A wall of mineral wool is 10 mm thick and has an area of 10 m². Its faces are held at 22 °C and -1 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 10 mmA = 10 m²T1 = 22 °CT2 = -1 °C
Q̇ = W
3.Medium
Glass, k = 0.96150 mmBrick, k = 0.72100 mm20 °C9 °CQ̇ = ?

A wall is made of 150 mm of glass and 100 mm of brick, with an area of 12 m². The outer faces are at 20 °C and 9 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.96 W/(m·K)L2 = 100 mm, k2 = 0.72 W/(m·K)A = 12 m²T1 = 20 °CT3 = 9 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.1750 mmMineral wool, k = 0.0450 mm16 °C-5 °CTi​ = ?Q̇

A wall is made of 50 mm of gypsum board and 50 mm of mineral wool, with an area of 10 m². The outer faces are at 16 °C and -5 °C. Find the temperature Ti at the interface between the two layers.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.04 W/(m·K)A = 10 m²T1 = 16 °CT3 = -5 °C
Ti = °C
5.Hard
Expanded polystyrene, k = 0.035100 mmBrick, k = 0.7225 mmroom 20 °Coutside -5 °CQ̇

A wall of 100 mm expanded polystyrene and 25 mm brick separates a room at 20 °C from outside air at -5 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 15 m². Find the overall heat transfer coefficient U of the wall.

L1 = 100 mm, k1 = 0.035 W/(m·K)L2 = 25 mm, k2 = 0.72 W/(m·K)A = 15 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -5 °C
U = W/(m²·K)
6.Hard
Expanded polystyrene, k = 0.03550 mmWood, k = 0.1750 mmroom 21 °Coutside -12 °CQ̇ = ?

A wall of 50 mm expanded polystyrene and 50 mm wood separates a room at 21 °C from outside air at -12 °C. The convection coefficients are 10 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 = 50 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 10 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -12 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 86.7 W
  2. 2. Q̇ = 920 W
  3. 3. Q̇ = 447.2 W
  4. 4. Ti = 12 °C
  5. 5. U = 0.3271 W/(m²·K)
  6. 6. Q̇ = 106.7 W

Full step-by-step solutions: practise this topic on examproblems.com.