Which of the following statements about latent heat for a given substance is/are correct?

1. It is fixed at a given temperature

2. It depends upon temperature and volume

3. It is independent of temperature and volume

4. It depends on the temperature but independent of volume

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  1. 2
  2. 1 and 3
  3. 4 only
  4. 1 and 4

Answer (Detailed Solution Below)

Option 2 : 1 and 3
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Detailed Solution

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CONCEPT

  • Latent Heat: The amount of heat required per mass to change the state of any substance. It is a hidden form of heat.
  • The change in state always occurs at a constant temperature.
  • The SI unit of latent heat is Joule/kg
  • Latent heat of fusion and vaporization:
  • In the process of melting or vaporization, the temperature remains constant. The amount of heat needed to change the state of matter having mass m is-
  • Q = m L [Q= heat required, m = mass of the body, L = latent heat]
  • Latent heat of fusion: It is the heat required for 1 kg of substance to change it from solid to liquid state without change of temperature.
  • Latent heat of fusion of ice = 3.36 × 105 J/kg
  • In CGS = 80 cal / gm.
  • Latent heat of Vaporization: It is the heat required for 1 kg of substance to change it from liquid to gaseous state without change of temperature.
  • Latent heat of vaporization of water = 2.25 × 106 J/kg.
  • In CGS = 536 cal / gm

EXPLANATION

The latent heat is hidden heat for change in state.

In the process of change of state temperature remains constant.

Latent heat is fixed at a given temperature, thus independent of temperature

The volume of the object while changing the state is fixed.

⇒ Latent heat is independent of volume.

∴ Statement 1and 3 are true ⇒ Option 2 is correct.

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