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 = 0.96250 mm23 °C10 °CQ̇ = ?

A wall of glass is 250 mm thick and has an area of 10 m². Its faces are held at 23 °C and 10 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.96 W/(m·K)L = 250 mmA = 10 m²T1 = 23 °CT2 = 10 °C
Q̇ = W
2.Easy
Concrete, k = 1.410 mm20 °C-5 °CQ̇ = ?

A wall of concrete is 10 mm thick and has an area of 8 m². Its faces are held at 20 °C and -5 °C. Find the rate of heat conduction Q̇ through the wall.

k = 1.4 W/(m·K)L = 10 mmA = 8 m²T1 = 20 °CT2 = -5 °C
Q̇ = W
3.Medium
Wood, k = 0.17150 mmGlass, k = 0.96100 mm24 °C-14 °CQ̇ = ?

A wall is made of 150 mm of wood and 100 mm of glass, with an area of 6 m². The outer faces are at 24 °C and -14 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.96 W/(m·K)A = 6 m²T1 = 24 °CT3 = -14 °C
Q̇ = W
4.Medium
Expanded polystyrene, k = 0.035100 mmMineral wool, k = 0.0475 mm22 °C-3 °CQ̇ = ?

A wall is made of 100 mm of expanded polystyrene and 75 mm of mineral wool, with an area of 6 m². The outer faces are at 22 °C and -3 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.035 W/(m·K)L2 = 75 mm, k2 = 0.04 W/(m·K)A = 6 m²T1 = 22 °CT3 = -3 °C
Q̇ = W
5.Hard
Brick, k = 0.72200 mmGypsum board, k = 0.1750 mmroom 22 °Coutside -13 °CQ̇ = ?

A wall of 200 mm brick and 50 mm gypsum board separates a room at 22 °C from outside air at -13 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 8 m². Find the heat loss Q̇ through the wall.

L1 = 200 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 0.17 W/(m·K)A = 8 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -13 °C
Q̇ = W
6.Hard
Wood, k = 0.17100 mmConcrete, k = 1.4150 mmroom 22 °Coutside -2 °CQ̇ = ?

A wall of 100 mm wood and 150 mm concrete separates a room at 22 °C from outside air at -2 °C. The convection coefficients are 7.7 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 15 m². Find the heat loss Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 150 mm, k2 = 1.4 W/(m·K)A = 15 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 22 °CTout = -2 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 499.2 W
  2. 2. Q̇ = 28000 W
  3. 3. Q̇ = 231.1 W
  4. 4. Q̇ = 31.7 W
  5. 5. Q̇ = 362.7 W
  6. 6. Q̇ = 411.3 W

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