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
Brick, k = 0.7220 mm23 °C-14 °Cq″ = ?

A wall of brick is 20 mm thick and has an area of 4 m². Its faces are held at 23 °C and -14 °C. Find the heat flux q″ through the wall.

k = 0.72 W/(m·K)L = 20 mmA = 4 m²T1 = 23 °CT2 = -14 °C
q″ = W/m²
2.Easy
Gypsum board, k = 0.17150 mm24 °C-12 °CQ̇ = ?

A wall of gypsum board is 150 mm thick and has an area of 20 m². Its faces are held at 24 °C and -12 °C. Find the rate of heat conduction Q̇ through the wall.

k = 0.17 W/(m·K)L = 150 mmA = 20 m²T1 = 24 °CT2 = -12 °C
Q̇ = W
3.Medium
Gypsum board, k = 0.1750 mmConcrete, k = 1.450 mm20 °C-11 °CTi​ = ?Q̇

A wall is made of 50 mm of gypsum board and 50 mm of concrete, with an area of 8 m². The outer faces are at 20 °C and -11 °C. Find the temperature Ti at the interface between the two layers.

L1 = 50 mm, k1 = 0.17 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 8 m²T1 = 20 °CT3 = -11 °C
Ti = °C
4.Medium
Concrete, k = 1.4100 mmGlass, k = 0.96150 mm25 °C-4 °CQ̇ = ?

A wall is made of 100 mm of concrete and 150 mm of glass, with an area of 6 m². The outer faces are at 25 °C and -4 °C. Find the heat flow Q̇ through the wall.

L1 = 100 mm, k1 = 1.4 W/(m·K)L2 = 150 mm, k2 = 0.96 W/(m·K)A = 6 m²T1 = 25 °CT3 = -4 °C
Q̇ = W
5.Hard
Wood, k = 0.17150 mmGypsum board, k = 0.17100 mmroom 20 °Coutside 5 °CQ̇ = ?

A wall of 150 mm wood and 100 mm gypsum board separates a room at 20 °C from outside air at 5 °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 heat loss Q̇ through the wall.

L1 = 150 mm, k1 = 0.17 W/(m·K)L2 = 100 mm, k2 = 0.17 W/(m·K)A = 10 m²hi = 8 W/(m²·K)ho = 25 W/(m²·K)Troom = 20 °CTout = 5 °C
Q̇ = W
6.Hard
Brick, k = 0.72250 mmConcrete, k = 1.450 mmroom 22 °Coutside -14 °CQ̇ = ?

A wall of 250 mm brick and 50 mm concrete separates a room at 22 °C from outside air at -14 °C. The convection coefficients are 8 W/(m²·K) inside and 30 W/(m²·K) outside, and the wall area is 20 m². Find the heat loss Q̇ through the wall.

L1 = 250 mm, k1 = 0.72 W/(m·K)L2 = 50 mm, k2 = 1.4 W/(m·K)A = 20 m²hi = 8 W/(m²·K)ho = 30 W/(m²·K)Troom = 22 °CTout = -14 °C
Q̇ = W

Answer key

  1. 1. q″ = 1332 W/m²
  2. 2. Q̇ = 816 W
  3. 3. Ti = −7.643 °C
  4. 4. Q̇ = 764.2 W
  5. 5. Q̇ = 91.71 W
  6. 6. Q̇ = 1330 W

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