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.

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1.Easy
Wood, k = 0.1710 mm18 °C7 °Cq″ = ?

A wall of wood is 10 mm thick and has an area of 15 m². Its faces are held at 18 °C and 7 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 10 mmA = 15 m²T1 = 18 °CT2 = 7 °C
q″ = W/m²
2.Easy
Gypsum board, k = 0.17150 mm18 °C-6 °Cq″ = ?

A wall of gypsum board is 150 mm thick and has an area of 15 m². Its faces are held at 18 °C and -6 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 150 mmA = 15 m²T1 = 18 °CT2 = -6 °C
q″ = W/m²
3.Medium
Wood, k = 0.17150 mmMineral wool, k = 0.0475 mm16 °C0 °CTi​ = ?Q̇

A wall is made of 150 mm of wood and 75 mm of mineral wool, with an area of 10 m². The outer faces are at 16 °C and 0 °C. Find the temperature Ti at the interface between the two layers.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.04 W/(m·K)A = 10 m²T1 = 16 °CT3 = 0 °C
Ti = °C
4.Medium
Glass, k = 0.96200 mmGypsum board, k = 0.17100 mm23 °C-7 °CTi​ = ?Q̇

A wall is made of 200 mm of glass and 100 mm of gypsum board, with an area of 12 m². The outer faces are at 23 °C and -7 °C. Find the temperature Ti at the interface between the two layers.

L1 = 200 mm, k1 = 0.96 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 12 m²T1 = 23 °CT3 = -7 °C
Ti = °C
5.Hard
Brick, k = 0.72200 mmGypsum board, k = 0.17150 mmroom 22 °Coutside -2 °CTs​ = ?Q̇

A wall of 200 mm brick and 150 mm gypsum board separates a room at 22 °C from outside air at -2 °C. The convection coefficients are 7.7 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 = 200 mm, k1 = 0.72 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 8 m²hi = 7.7 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -2 °C
Ts = °C
6.Hard
Brick, k = 0.72150 mmGlass, k = 0.96150 mmroom 22 °Coutside -4 °CTs​ = ?Q̇

A wall of 150 mm brick and 150 mm glass separates a room at 22 °C from outside air at -4 °C. The convection coefficients are 7.7 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 8 m². Find the temperature Ts of the inside surface of the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 150 mm, k2 = 0.96 W/(m·K)A = 8 m²hi = 7.7 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -4 °C
Ts = °C

Answer key

  1. 1. q″ = 187 W/m²
  2. 2. q″ = 27.2 W/m²
  3. 3. Ti = 10.88 °C
  4. 4. Ti = 15.15 °C
  5. 5. Ts = 19.66 °C
  6. 6. Ts = 15.6 °C

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