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
Concrete, k = 1.4200 mm18 °C4 °Cq″ = ?

A wall of concrete is 200 mm thick and has an area of 15 m². Its faces are held at 18 °C and 4 °C. Find the heat flux q″ through the wall.

k = 1.4 W/(m·K)L = 200 mmA = 15 m²T1 = 18 °CT2 = 4 °C
q″ = W/m²
2.Easy
Mineral wool, k = 0.04200 mm22 °C3 °Cq″ = ?

A wall of mineral wool is 200 mm thick and has an area of 12 m². Its faces are held at 22 °C and 3 °C. Find the heat flux q″ through the wall.

k = 0.04 W/(m·K)L = 200 mmA = 12 m²T1 = 22 °CT2 = 3 °C
q″ = W/m²
3.Medium
Concrete, k = 1.4200 mmGlass, k = 0.96100 mm19 °C9 °CTi​ = ?Q̇

A wall is made of 200 mm of concrete and 100 mm of glass, with an area of 6 m². The outer faces are at 19 °C and 9 °C. Find the temperature Ti at the interface between the two layers.

L1 = 200 mm, k1 = 1.4 W/(m·K)L2 = 100 mm, k2 = 0.96 W/(m·K)A = 6 m²T1 = 19 °CT3 = 9 °C
Ti = °C
4.Medium
Glass, k = 0.96100 mmGypsum board, k = 0.17150 mm24 °C-2 °CTi​ = ?Q̇

A wall is made of 100 mm of glass and 150 mm of gypsum board, with an area of 8 m². The outer faces are at 24 °C and -2 °C. Find the temperature Ti at the interface between the two layers.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 8 m²T1 = 24 °CT3 = -2 °C
Ti = °C
5.Hard
Mineral wool, k = 0.0450 mmExpanded polystyrene, k = 0.03550 mmroom 22 °Coutside 5 °CTs​ = ?Q̇

A wall of 50 mm mineral wool and 50 mm expanded polystyrene separates a room at 22 °C from outside air at 5 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 4 m². Find the temperature Ts of the inside surface of the wall.

L1 = 50 mm, k1 = 0.04 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 4 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = 5 °C
Ts = °C
6.Hard
Expanded polystyrene, k = 0.035200 mmWood, k = 0.17150 mmroom 20 °Coutside 5 °CTs​ = ?Q̇

A wall of 200 mm expanded polystyrene and 150 mm wood separates a room at 20 °C from outside air at 5 °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 temperature Ts of the inside surface of the wall.

L1 = 200 mm, k1 = 0.035 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 6 m²hi = 10 W/(m²·K)ho = 30 W/(m²·K)Troom = 20 °CTout = 5 °C
Ts = °C

Answer key

  1. 1. q″ = 98 W/m²
  2. 2. q″ = 3.8 W/m²
  3. 3. Ti = 13.22 °C
  4. 4. Ti = 21.25 °C
  5. 5. Ts = 21.4 °C
  6. 6. Ts = 19.78 °C

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