Which of the following cases (if any) requires the greatest amount of heat? (In each case, the material is the same).

Correct answer: D. The amount of heat required is the same in each of the three previous cases

  • A. 1.5 kg of the material is to be heated by 7.0 C°
  • B. 3.0 kg of the material is to be heated by 3.5 C°
  • C. 0.50 kg of the material is to be heated by 21 C°
  • D. The amount of heat required is the same in each of the three previous cases

Explanation

When an object is heated, it's temperature changes over a period of time. The heat required is given by;q = mc∆TWhere q is given heat, m is mass in kg and t is the temperature change of the material and c is the specific heat of the material.Since material is the same for all three cases, c is the same for all of them. Therefore, heat given is directly proportional to mass and temperate change.In the first case; q = 1.5×c×7 = 10.5cIn the second case; q = 3×c×3.5 = 10.5cIn the third case; q = 0.5×c×21 = 10.5cAs observed the heat required is the same for all so option D is correct.

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About Thermal Equilibrium and Heat

Thermal equilibrium means that bodies in contact have the same temperature and no net heat flows between them. The topic distinguishes heat from temperature, uses the zeroth law of thermodynamics, and covers heat transfer, specific heat capacity, thermal expansion and the conditions for reaching equilibrium.

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