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
Gypsum board, k = 0.17150 mm23 °C9 °CQ̇ = ?

A wall of gypsum board is 150 mm thick and has an area of 10 m². Its faces are held at 23 °C and 9 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 150 mmA = 10 m²T1 = 23 °CT2 = 9 °C
Q̇ = W
2.Easy
Glass, k = 0.9650 mm17 °C9 °Cq″ = ?

A wall of glass is 50 mm thick and has an area of 8 m². Its faces are held at 17 °C and 9 °C. Find the heat flux q″ through the wall.

k = 0.96 W/(m·K)L = 50 mmA = 8 m²T1 = 17 °CT2 = 9 °C
q″ = W/m²
3.Medium
Glass, k = 0.96100 mmExpanded polystyrene, k = 0.035150 mm23 °C-1 °CQ̇ = ?

A wall is made of 100 mm of glass and 150 mm of expanded polystyrene, with an area of 4 m². The outer faces are at 23 °C and -1 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 150 mm, k2 = 0.035 W/(m·K)A = 4 m²T1 = 23 °CT3 = -1 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17100 mmBrick, k = 0.7275 mm16 °C-6 °CQ̇ = ?

A wall is made of 100 mm of gypsum board and 75 mm of brick, with an area of 10 m². The outer faces are at 16 °C and -6 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.72 W/(m·K)A = 10 m²T1 = 16 °CT3 = -6 °C
Q̇ = W
5.Hard
Wood, k = 0.17150 mmBrick, k = 0.72150 mmroom 20 °Coutside 5 °CTs​ = ?Q̇

A wall of 150 mm wood and 150 mm brick separates a room at 20 °C from outside air at 5 °C. The convection coefficients are 8 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 4 m². Find the temperature Ts of the inside surface of the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 0.72 W/(m·K)A = 4 m²hi = 8 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = 5 °C
Ts = °C
6.Hard
Mineral wool, k = 0.04150 mmExpanded polystyrene, k = 0.03550 mmroom 21 °Coutside -13 °CQ̇

A wall of 150 mm mineral wool and 50 mm expanded polystyrene separates a room at 21 °C from outside air at -13 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 10 m². Find the overall heat transfer coefficient U of the wall.

L1 = 150 mm, k1 = 0.04 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 10 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -13 °C
U = W/(m²·K)

Answer key

  1. 1. Q̇ = 158.7 W
  2. 2. q″ = 153.6 W/m²
  3. 3. Q̇ = 21.87 W
  4. 4. Q̇ = 317.7 W
  5. 5. Ts = 18.52 °C
  6. 6. U = 0.1866 W/(m²·K)

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