Find the heat capacity of a steel vessel of mass 2.5 kg if its temperature rises by 10 degrees. Specific heat capacity of steel is 500 Jkg-1K-1.

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 2).
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  1. 200 Jkg-1K-1
  2. 1,250 JK-1
  3. 125 JK-1
  4. 20 Jkg-1K-1

Answer (Detailed Solution Below)

Option 2 : 1,250 JK-1
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Detailed Solution

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Concept:

Heat energy gained or lost:

  • Heat energy gained or lost by a body depends on its mass, nature, and change in its temperature.
  • Mathematically, it can be represented by:

Q = m × c × ΔT

Q = Heat gain or loss, m = mass, c = specific heat, ΔT = Change in temperature

Heat capacity:

  • Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature.                        Heat capacity= mass specific x heat capacity
  • The SI unit of heat capacity is joule per kelvin (J/K).

Calculation:

Given:

Mass, m = 2.5 kg, ΔT = 10°C, Specific heat capacity, c = 500 Jkg-1K-1

Heat capacity = m × c = 2.5 × 500 = 1,250 JK-1

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