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
Wood, k = 0.17100 mm17 °C-11 °CQ̇ = ?

A wall of wood is 100 mm thick and has an area of 4 m². Its faces are held at 17 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 100 mmA = 4 m²T1 = 17 °CT2 = -11 °C
Q̇ = W
2.Easy
Expanded polystyrene, k = 0.035150 mm25 °C-5 °CQ̇ = ?

A wall of expanded polystyrene is 150 mm thick and has an area of 8 m². Its faces are held at 25 °C and -5 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.035 W/(m·K)L = 150 mmA = 8 m²T1 = 25 °CT2 = -5 °C
Q̇ = W
3.Medium
Wood, k = 0.1750 mmBrick, k = 0.7275 mm22 °C-11 °CTi​ = ?Q̇

A wall is made of 50 mm of wood and 75 mm of brick, with an area of 4 m². The outer faces are at 22 °C and -11 °C. Find the temperature Ti at the interface between the two layers.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 4 m²T1 = 22 °CT3 = -11 °C
Ti = °C
4.Medium
Expanded polystyrene, k = 0.035100 mmConcrete, k = 1.475 mm15 °C-6 °CTi​ = ?Q̇

A wall is made of 100 mm of expanded polystyrene and 75 mm of concrete, with an area of 12 m². The outer faces are at 15 °C and -6 °C. Find the temperature Ti at the interface between the two layers.

L1 = 100 mm, k1 = 0.035 W/(m·K)L2 = 75 mm, k2 = 1.4 W/(m·K)A = 12 m²T1 = 15 °CT3 = -6 °C
Ti = °C
5.Hard
Gypsum board, k = 0.17100 mmWood, k = 0.1725 mmroom 22 °Coutside -14 °CTs​ = ?Q̇

A wall of 100 mm gypsum board and 25 mm wood separates a room at 22 °C from outside air at -14 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 6 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -14 °C
Ts = °C
6.Hard
Mineral wool, k = 0.04150 mmWood, k = 0.1750 mmroom 21 °Coutside -10 °CQ̇ = ?

A wall of 150 mm mineral wool and 50 mm wood separates a room at 21 °C from outside air at -10 °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 = 150 mm, k1 = 0.04 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 = -10 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 190.4 W
  2. 2. Q̇ = 56 W
  3. 3. Ti = −2.369 °C
  4. 4. Ti = −5.613 °C
  5. 5. Ts = 17 °C
  6. 6. Q̇ = 44.52 W

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