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
Mineral wool, k = 0.04250 mm15 °C-6 °CQ̇ = ?

A wall of mineral wool is 250 mm thick and has an area of 4 m². Its faces are held at 15 °C and -6 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 250 mmA = 4 m²T1 = 15 °CT2 = -6 °C
Q̇ = W
2.Easy
Concrete, k = 1.4150 mm25 °C-5 °Cq″ = ?

A wall of concrete is 150 mm thick and has an area of 4 m². Its faces are held at 25 °C and -5 °C. Find the heat flux q″ through the wall.

k = 1.4 W/(m·K)L = 150 mmA = 4 m²T1 = 25 °CT2 = -5 °C
q″ = W/m²
3.Medium
Brick, k = 0.72150 mmMineral wool, k = 0.0475 mm15 °C10 °CTi​ = ?Q̇

A wall is made of 150 mm of brick and 75 mm of mineral wool, with an area of 6 m². The outer faces are at 15 °C and 10 °C. Find the temperature Ti at the interface between the two layers.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 75 mm, k2 = 0.04 W/(m·K)A = 6 m²T1 = 15 °CT3 = 10 °C
Ti = °C
4.Medium
Wood, k = 0.17250 mmGlass, k = 0.9625 mm24 °C-2 °CQ̇ = ?

A wall is made of 250 mm of wood and 25 mm of glass, with an area of 15 m². The outer faces are at 24 °C and -2 °C. Find the heat flow Q̇ through the wall.

L1 = 250 mm, k1 = 0.17 W/(m·K)L2 = 25 mm, k2 = 0.96 W/(m·K)A = 15 m²T1 = 24 °CT3 = -2 °C
Q̇ = W
5.Hard
Glass, k = 0.96250 mmConcrete, k = 1.4100 mmroom 22 °Coutside -4 °CTs​ = ?Q̇

A wall of 250 mm glass and 100 mm concrete separates a room at 22 °C from outside air at -4 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 10 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.96 W/(m·K)L2 = 100 mm, k2 = 1.4 W/(m·K)A = 10 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 22 °CTout = -4 °C
Ts = °C
6.Hard
Mineral wool, k = 0.04150 mmGlass, k = 0.9675 mmroom 20 °Coutside 5 °CQ̇ = ?

A wall of 150 mm mineral wool and 75 mm glass separates a room at 20 °C from outside air at 5 °C. The convection coefficients are 6 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 8 m². Find the heat loss Q̇ through the wall.

L1 = 150 mm, k1 = 0.04 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 8 m²hi = 6 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = 5 °C
Q̇ = W

Answer key

  1. 1. Q̇ = 13.44 W
  2. 2. q″ = 280 W/m²
  3. 3. Ti = 14.5 °C
  4. 4. Q̇ = 260.6 W
  5. 5. Ts = 15.46 °C
  6. 6. Q̇ = 29.74 W

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