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 = 0.1750 mm19 °C4 °CQ̇ = ?

A wall of wood is 50 mm thick and has an area of 12 m². Its faces are held at 19 °C and 4 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 50 mmA = 12 m²T1 = 19 °CT2 = 4 °C
Q̇ = W
2.Easy
Concrete, k = 1.450 mm22 °C0 °CQ̇ = ?

A wall of concrete is 50 mm thick and has an area of 15 m². Its faces are held at 22 °C and 0 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 50 mmA = 15 m²T1 = 22 °CT2 = 0 °C
Q̇ = W
3.Medium
Glass, k = 0.96100 mmBrick, k = 0.72100 mm22 °C-6 °CQ̇ = ?

A wall is made of 100 mm of glass and 100 mm of brick, with an area of 6 m². The outer faces are at 22 °C and -6 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 100 mm, k2 = 0.72 W/(m·K)A = 6 m²T1 = 22 °CT3 = -6 °C
Q̇ = W
4.Medium
Mineral wool, k = 0.04100 mmExpanded polystyrene, k = 0.035150 mm22 °C-7 °CQ̇ = ?

A wall is made of 100 mm of mineral wool and 150 mm of expanded polystyrene, with an area of 10 m². The outer faces are at 22 °C and -7 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.04 W/(m·K)L2 = 150 mm, k2 = 0.035 W/(m·K)A = 10 m²T1 = 22 °CT3 = -7 °C
Q̇ = W
5.Hard
Mineral wool, k = 0.04150 mmExpanded polystyrene, k = 0.03550 mmroom 21 °Coutside -7 °CQ̇ = ?

A wall of 150 mm mineral wool and 50 mm expanded polystyrene separates a room at 21 °C from outside air at -7 °C. The convection coefficients are 10 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 15 m². Find the heat loss Q̇ through the wall.

L1 = 150 mm, k1 = 0.04 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 15 m²hi = 10 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -7 °C
Q̇ = W
6.Hard
Wood, k = 0.17250 mmConcrete, k = 1.475 mmroom 22 °Coutside -8 °CQ̇ = ?

A wall of 250 mm wood and 75 mm concrete separates a room at 22 °C from outside air at -8 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 12 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 1.4 W/(m·K)A = 12 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = -8 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 612 W
  2. 2. Q̇ = 9240 W
  3. 3. Q̇ = 691.2 W
  4. 4. Q̇ = 42.74 W
  5. 5. Q̇ = 79.07 W
  6. 6. Q̇ = 215 W

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