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 = 0.17250 mm22 °C-6 °Cq″ = ?

A wall of gypsum board is 250 mm thick and has an area of 6 m². Its faces are held at 22 °C and -6 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 250 mmA = 6 m²T1 = 22 °CT2 = -6 °C
q″ = W/m²
2.Easy
Mineral wool, k = 0.0450 mm22 °C-11 °CQ̇ = ?

A wall of mineral wool is 50 mm thick and has an area of 6 m². Its faces are held at 22 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.04 W/(m·K)L = 50 mmA = 6 m²T1 = 22 °CT2 = -11 °C
Q̇ = W
3.Medium
Mineral wool, k = 0.04150 mmExpanded polystyrene, k = 0.03550 mm15 °C-1 °CQ̇ = ?

A wall is made of 150 mm of mineral wool and 50 mm of expanded polystyrene, with an area of 4 m². The outer faces are at 15 °C and -1 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.04 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 4 m²T1 = 15 °CT3 = -1 °C
Q̇ = W
4.Medium
Brick, k = 0.72150 mmConcrete, k = 1.4100 mm19 °C7 °CQ̇ = ?

A wall is made of 150 mm of brick and 100 mm of concrete, with an area of 10 m². The outer faces are at 19 °C and 7 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.72 W/(m·K)L2 = 100 mm, k2 = 1.4 W/(m·K)A = 10 m²T1 = 19 °CT3 = 7 °C
Q̇ = W
5.Hard
Expanded polystyrene, k = 0.035100 mmBrick, k = 0.72100 mmroom 20 °Coutside -11 °CTs​ = ?Q̇

A wall of 100 mm expanded polystyrene and 100 mm brick separates a room at 20 °C from outside air at -11 °C. The convection coefficients are 10 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 12 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 0.035 W/(m·K)L2 = 100 mm, k2 = 0.72 W/(m·K)A = 12 m²hi = 10 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -11 °C
Ts = °C
6.Hard
Mineral wool, k = 0.04100 mmConcrete, k = 1.475 mmroom 20 °Coutside -11 °CQ̇

A wall of 100 mm mineral wool and 75 mm concrete separates a room at 20 °C from outside air at -11 °C. The convection coefficients are 8 W/(m²·K) inside and 25 W/(m²·K) outside, and the wall area is 15 m². Find the overall heat transfer coefficient U of the wall.

L1 = 100 mm, k1 = 0.04 W/(m·K)L2 = 75 mm, k2 = 1.4 W/(m·K)A = 15 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = -11 °C
U = W/(m²·K)

Answer key

  1. 1. q″ = 19.04 W/m²
  2. 2. Q̇ = 158.4 W
  3. 3. Q̇ = 12.36 W
  4. 4. Q̇ = 428.9 W
  5. 5. Ts = 19.01 °C
  6. 6. U = 0.3678 W/(m²·K)

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