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
Glass, k = 0.96200 mm18 °C-11 °CQ̇ = ?

A wall of glass is 200 mm thick and has an area of 6 m². Its faces are held at 18 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.96 W/(m·K)L = 200 mmA = 6 m²T1 = 18 °CT2 = -11 °C
Q̇ = W
2.Easy
Glass, k = 0.9650 mm15 °C-12 °Cq″ = ?

A wall of glass is 50 mm thick and has an area of 20 m². Its faces are held at 15 °C and -12 °C. Find the heat flux q″ through the wall.

k = 0.96 W/(m·K)L = 50 mmA = 20 m²T1 = 15 °CT2 = -12 °C
q″ = W/m²
3.Medium
Glass, k = 0.96100 mmMineral wool, k = 0.04100 mm19 °C-12 °CTi​ = ?Q̇

A wall is made of 100 mm of glass and 100 mm of mineral wool, with an area of 12 m². The outer faces are at 19 °C and -12 °C. Find the temperature Ti at the interface between the two layers.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 100 mm, k2 = 0.04 W/(m·K)A = 12 m²T1 = 19 °CT3 = -12 °C
Ti = °C
4.Medium
Glass, k = 0.96100 mmExpanded polystyrene, k = 0.035100 mm23 °C10 °CQ̇ = ?

A wall is made of 100 mm of glass and 100 mm of expanded polystyrene, with an area of 12 m². The outer faces are at 23 °C and 10 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 100 mm, k2 = 0.035 W/(m·K)A = 12 m²T1 = 23 °CT3 = 10 °C
Q̇ = W
5.Hard
Mineral wool, k = 0.04250 mmExpanded polystyrene, k = 0.035150 mmroom 22 °Coutside -15 °CTs​ = ?Q̇

A wall of 250 mm mineral wool and 150 mm expanded polystyrene separates a room at 22 °C from outside air at -15 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 20 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 150 mm, k2 = 0.035 W/(m·K)A = 20 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -15 °C
Ts = °C
6.Hard
Mineral wool, k = 0.04100 mmGypsum board, k = 0.17150 mmroom 22 °Coutside 3 °CQ̇

A wall of 100 mm mineral wool and 150 mm gypsum board separates a room at 22 °C from outside air at 3 °C. The convection coefficients are 8 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 8 m². Find the overall heat transfer coefficient U of the wall.

L1 = 100 mm, k1 = 0.04 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 8 m²hi = 8 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = 3 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 835.2 W
  2. 2. q″ = 518.4 W/m²
  3. 3. Ti = 17.76 °C
  4. 4. Q̇ = 52.68 W
  5. 5. Ts = 21.43 °C
  6. 6. U = 0.2824 W/(m²·K)

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