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 = 0.1720 mm18 °C-5 °CQ̇ = ?

A wall of gypsum board is 20 mm thick and has an area of 20 m². Its faces are held at 18 °C and -5 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 20 mmA = 20 m²T1 = 18 °CT2 = -5 °C
Q̇ = W
2.Easy
Gypsum board, k = 0.17250 mm18 °C5 °CQ̇ = ?

A wall of gypsum board is 250 mm thick and has an area of 15 m². Its faces are held at 18 °C and 5 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 250 mmA = 15 m²T1 = 18 °CT2 = 5 °C
Q̇ = W
3.Medium
Glass, k = 0.9650 mmExpanded polystyrene, k = 0.03525 mm24 °C10 °CQ̇ = ?

A wall is made of 50 mm of glass and 25 mm of expanded polystyrene, with an area of 20 m². The outer faces are at 24 °C and 10 °C. Find the heat flow Q̇ through the wall.

L1 = 50 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 0.035 W/(m·K)A = 20 m²T1 = 24 °CT3 = 10 °C
Q̇ = W
4.Medium
Mineral wool, k = 0.04100 mmGlass, k = 0.9625 mm20 °C2 °CQ̇ = ?

A wall is made of 100 mm of mineral wool and 25 mm of glass, with an area of 20 m². The outer faces are at 20 °C and 2 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.04 W/(m·K)L2 = 25 mm, k2 = 0.96 W/(m·K)A = 20 m²T1 = 20 °CT3 = 2 °C
Q̇ = W
5.Hard
Expanded polystyrene, k = 0.035200 mmMineral wool, k = 0.0450 mmroom 20 °Coutside -15 °CQ̇ = ?

A wall of 200 mm expanded polystyrene and 50 mm mineral wool separates a room at 20 °C from outside air at -15 °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 heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 0.035 W/(m·K)L2 = 50 mm, k2 = 0.04 W/(m·K)A = 8 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -15 °C
Q̇ = W
6.Hard
Expanded polystyrene, k = 0.035100 mmConcrete, k = 1.450 mmroom 21 °Coutside -3 °CTs​ = ?Q̇

A wall of 100 mm expanded polystyrene and 50 mm concrete separates a room at 21 °C from outside air at -3 °C. The convection coefficients are 6 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 10 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 0.035 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 10 m²hi = 6 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -3 °C
Ts = °C

Answer key

  1. 1. Q̇ = 3910 W
  2. 2. Q̇ = 132.6 W
  3. 3. Q̇ = 365.4 W
  4. 4. Q̇ = 142.5 W
  5. 5. Q̇ = 39.41 W
  6. 6. Ts = 19.71 °C

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