The pressure of a system is reduced by an iso-choric process. If the heat rejected from the system is 220 J, then find the change in internal energy of the system.

  1. 220 J
  2. 100 J
  3. 0 J
  4. None of these

Answer (Detailed Solution Below)

Option 1 : 220 J
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CONCEPT:

The first law of thermodynamics:

  • The first law of thermodynamics states that the change in internal energy of a system is equal to the sum of the heat exchanged with the surroundings and the amount of work done by the surrounding on the system. 

Q = W + ΔU

Where U = internal energy of the system, Q = amount of heat, and W = work done

Isochoric process:

  • If the thermodynamic process is carried out at constant volume then it is called an isochoric process.
  • The change in internal energy in this process is equal to the heat supplied or rejected.
  • The work done in this process is zero.

⇒ q = ΔU

CALCULATION:

Given Q = 220 J

  • If the thermodynamic process is carried out at constant volume then it is called an isochoric process.
  • The change in internal energy in this process is equal to the heat supplied or rejected.
  • The work done in this process is zero.

So the change in internal energy is given as,

⇒ Q = ΔU = 220 J

  • Hence, option 1 is correct.
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