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.
Last updated
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.
Practise Thermodynamics
714 free Thermodynamics MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
100 W heater is switched on for 5 minutes to melt ice. What is the mass of ice that melts at 0oC? ( The specific latent heat of fusion of ice is 334 J/g).
100 W heater is used for 5 minutes to heat 500 g of water. What is the change in the temperature of the water? (The specific heat capacity of water is 4.2 J/gC).
100 W heater is used to melt 50 g of ice at 0°C. How long should the heater be switched on? (Specific latent heat of fusion of ice is 334 J/g)
100 W heater is used to melt 50 g of ice at OC. How long should the heater be switched on? (Specific latent heat of fusion of ice is 334 J/g)
100W heater is used for 5 minutes to heat 500g of water. What is the change in the temperature of water? (Specific heat capacity of water is 4.2 J/gC)