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 = 1.4150 mm16 °C-10 °CQ̇ = ?

A wall of concrete is 150 mm thick and has an area of 15 m². Its faces are held at 16 °C and -10 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 150 mmA = 15 m²T1 = 16 °CT2 = -10 °C
Q̇ = W
2.Easy
Brick, k = 0.7210 mm18 °C-6 °Cq″ = ?

A wall of brick is 10 mm thick and has an area of 10 m². Its faces are held at 18 °C and -6 °C. Find the heat flux q″ through the wall.

k = 0.72 W/(m·K)L = 10 mmA = 10 m²T1 = 18 °CT2 = -6 °C
q″ = W/m²
3.Medium
Gypsum board, k = 0.1750 mmConcrete, k = 1.425 mm20 °C-6 °CQ̇ = ?

A wall is made of 50 mm of gypsum board and 25 mm of concrete, with an area of 8 m². The outer faces are at 20 °C and -6 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 1.4 W/(m·K)A = 8 m²T1 = 20 °CT3 = -6 °C
Q̇ = W
4.Medium
Expanded polystyrene, k = 0.035200 mmWood, k = 0.1725 mm24 °C-3 °CQ̇ = ?

A wall is made of 200 mm of expanded polystyrene and 25 mm of wood, with an area of 6 m². The outer faces are at 24 °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 = 0.17 W/(m·K)A = 6 m²T1 = 24 °CT3 = -3 °C
Q̇ = W
5.Hard
Wood, k = 0.17250 mmConcrete, k = 1.4150 mmroom 20 °Coutside -4 °CTs​ = ?Q̇

A wall of 250 mm wood and 150 mm concrete separates a room at 20 °C from outside air at -4 °C. The convection coefficients are 10 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 8 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 1.4 W/(m·K)A = 8 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -4 °C
Ts = °C
6.Hard
Glass, k = 0.9650 mmConcrete, k = 1.425 mmroom 20 °Coutside -2 °CQ̇ = ?

A wall of 50 mm glass and 25 mm concrete separates a room at 20 °C from outside air at -2 °C. The convection coefficients are 8 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 10 m². Find the heat loss Q̇ through the wall.

L1 = 50 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 1.4 W/(m·K)A = 10 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = -2 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 3640 W
  2. 2. q″ = 1728 W/m²
  3. 3. Q̇ = 666.7 W
  4. 4. Q̇ = 27.64 W
  5. 5. Ts = 18.6 °C
  6. 6. Q̇ = 898.2 W

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