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 = 0.17100 mm25 °C3 °CQ̇ = ?

A wall of gypsum board is 100 mm thick and has an area of 10 m². Its faces are held at 25 °C and 3 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 100 mmA = 10 m²T1 = 25 °CT2 = 3 °C
Q̇ = W
2.Easy
Wood, k = 0.1710 mm20 °C-11 °CQ̇ = ?

A wall of wood is 10 mm thick and has an area of 15 m². Its faces are held at 20 °C and -11 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 10 mmA = 15 m²T1 = 20 °CT2 = -11 °C
Q̇ = W
3.Medium
Glass, k = 0.96100 mmConcrete, k = 1.450 mm20 °C-15 °CQ̇ = ?

A wall is made of 100 mm of glass and 50 mm of concrete, with an area of 20 m². The outer faces are at 20 °C and -15 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.96 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 20 m²T1 = 20 °CT3 = -15 °C
Q̇ = W
4.Medium
Gypsum board, k = 0.17100 mmExpanded polystyrene, k = 0.03550 mm16 °C6 °CQ̇ = ?

A wall is made of 100 mm of gypsum board and 50 mm of expanded polystyrene, with an area of 8 m². The outer faces are at 16 °C and 6 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 0.035 W/(m·K)A = 8 m²T1 = 16 °CT3 = 6 °C
Q̇ = W
5.Hard
Brick, k = 0.72250 mmConcrete, k = 1.450 mmroom 21 °Coutside -13 °CTs​ = ?Q̇

A wall of 250 mm brick and 50 mm concrete separates a room at 21 °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 12 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 12 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -13 °C
Ts = °C
6.Hard
Mineral wool, k = 0.04250 mmConcrete, k = 1.4150 mmroom 21 °Coutside -1 °CTs​ = ?Q̇

A wall of 250 mm mineral wool and 150 mm concrete separates a room at 21 °C from outside air at -1 °C. The convection coefficients are 6 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 20 m². Find the temperature Ts of the inside surface of the wall.

L1 = 250 mm, k1 = 0.04 W/(m·K)L2 = 150 mm, k2 = 1.4 W/(m·K)A = 20 m²hi = 6 W/(m²·K)ho = 30 W/(m²·K)Troom = 21 °CTout = -1 °C
Ts = °C

Answer key

  1. 1. Q̇ = 374 W
  2. 2. Q̇ = 7905 W
  3. 3. Q̇ = 5004 W
  4. 4. Q̇ = 39.67 W
  5. 5. Ts = 11.28 °C
  6. 6. Ts = 20.44 °C

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