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 = 0.17250 mm15 °C-15 °Cq″ = ?

A wall of wood is 250 mm thick and has an area of 4 m². Its faces are held at 15 °C and -15 °C. Find the heat flux q″ through the wall.

k = 0.17 W/(m·K)L = 250 mmA = 4 m²T1 = 15 °CT2 = -15 °C
q″ = W/m²
2.Easy
Concrete, k = 1.4250 mm18 °C-10 °Cq″ = ?

A wall of concrete is 250 mm thick and has an area of 15 m². Its faces are held at 18 °C and -10 °C. Find the heat flux q″ through the wall.

k = 1.4 W/(m·K)L = 250 mmA = 15 m²T1 = 18 °CT2 = -10 °C
q″ = W/m²
3.Medium
Glass, k = 0.96150 mmConcrete, k = 1.450 mm21 °C-4 °CQ̇ = ?

A wall is made of 150 mm of glass and 50 mm of concrete, with an area of 12 m². The outer faces are at 21 °C and -4 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.96 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 12 m²T1 = 21 °CT3 = -4 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17150 mmGlass, k = 0.9675 mm16 °C-3 °CQ̇ = ?

A wall is made of 150 mm of gypsum board and 75 mm of glass, with an area of 10 m². The outer faces are at 16 °C and -3 °C. Find the heat flow Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 75 mm, k2 = 0.96 W/(m·K)A = 10 m²T1 = 16 °CT3 = -3 °C
Q̇ = W
5.Hard
Glass, k = 0.96100 mmMineral wool, k = 0.0425 mmroom 20 °Coutside 2 °CTs​ = ?Q̇

A wall of 100 mm glass and 25 mm mineral wool separates a room at 20 °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 8 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 25 mm, k2 = 0.04 W/(m·K)A = 8 m²hi = 7.7 W/(m²·K)ho = 20 W/(m²·K)Troom = 20 °CTout = 2 °C
Ts = °C
6.Hard
Concrete, k = 1.4100 mmWood, k = 0.17150 mmroom 21 °Coutside -13 °CTs​ = ?Q̇

A wall of 100 mm concrete and 150 mm wood separates a room at 21 °C from outside air at -13 °C. The convection coefficients are 10 W/(m²·K) inside and 20 W/(m²·K) outside, and the wall area is 20 m². Find the temperature Ts of the inside surface of the wall.

L1 = 100 mm, k1 = 1.4 W/(m·K)L2 = 150 mm, k2 = 0.17 W/(m·K)A = 20 m²hi = 10 W/(m²·K)ho = 20 W/(m²·K)Troom = 21 °CTout = -13 °C
Ts = °C

Answer key

  1. 1. q″ = 20.4 W/m²
  2. 2. q″ = 156.8 W/m²
  3. 3. Q̇ = 1563 W
  4. 4. Q̇ = 197.8 W
  5. 5. Ts = 17.43 °C
  6. 6. Ts = 17.92 °C

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