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 = 0.1710 mm21 °C-3 °CQ̇ = ?

A wall of wood is 10 mm thick and has an area of 20 m². Its faces are held at 21 °C and -3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 10 mmA = 20 m²T1 = 21 °CT2 = -3 °C
Q̇ = W
2.Easy
Mineral wool, k = 0.04150 mm18 °C3 °CQ̇ = ?

A wall of mineral wool is 150 mm thick and has an area of 15 m². Its faces are held at 18 °C and 3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 150 mmA = 15 m²T1 = 18 °CT2 = 3 °C
Q̇ = W
3.Medium
Expanded polystyrene, k = 0.035200 mmGlass, k = 0.9625 mm16 °C3 °CQ̇ = ?

A wall is made of 200 mm of expanded polystyrene and 25 mm of glass, with an area of 6 m². The outer faces are at 16 °C and 3 °C. Find the heat flow Q̇ through the wall.

L1 = 200 mm, k1 = 0.035 W/(m·K)L2 = 25 mm, k2 = 0.96 W/(m·K)A = 6 m²T1 = 16 °CT3 = 3 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17150 mmGlass, k = 0.9675 mm23 °C-11 °CQ̇ = ?

A wall is made of 150 mm of gypsum board and 75 mm of glass, with an area of 15 m². The outer faces are at 23 °C and -11 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 15 m²T1 = 23 °CT3 = -11 °C
Q̇ = W
5.Hard
Brick, k = 0.72100 mmGlass, k = 0.9675 mmroom 21 °Coutside -8 °CQ̇ = ?

A wall of 100 mm brick and 75 mm glass separates a room at 21 °C from outside air at -8 °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 heat loss Q̇ through the wall.

L1 = 100 mm, k1 = 0.72 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 15 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 21 °CTout = -8 °C
Q̇ = W
6.Hard
Brick, k = 0.7250 mmGlass, k = 0.96150 mmroom 22 °Coutside -7 °CQ̇ = ?

A wall of 50 mm brick and 150 mm glass separates a room at 22 °C from outside air at -7 °C. The convection coefficients are 10 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 15 m². Find the heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 0.72 W/(m·K)L2 = 150 mm, k2 = 0.96 W/(m·K)A = 15 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -7 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 8160 W
  2. 2. Q̇ = 60 W
  3. 3. Q̇ = 13.59 W
  4. 4. Q̇ = 531 W
  5. 5. Q̇ = 1139 W
  6. 6. Q̇ = 1190 W

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