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Choose the incorrect statement for gas undergoing isothermal change
1. Change in internal energy is zero
2. Temprature remains constant
3. Heat given to the system is equal to work done
4. Internal energy to the system is equal to work done

1 Answer

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Correct Answer - Option 4 : Internal energy to the system is equal to work done

CONCEPT:

  • Isothermal process: When a thermodynamic system undergoes a physical change in such a way that its temperature remains constant, then the change is known as an isothermal process.
  • Isobaric process: When a thermodynamic system undergoes a physical change in such a way that its pressure remains constant, then the change is known as the isobaric process.
  • Isochoric process: When a thermodynamic process undergoes a physical change in such a way that its volume remains constant, then the change is known as the isochoric process.
  • Adiabatic process: When a thermodynamic system undergoes a change in such a way that no exchange of heat takes place between Systems and surroundings, the process is known as an adiabatic process.


EXPLAINATION:

First Law of Thermodynamics:

  • It is a statement of conservation of energy in the thermodynamical process.
  • According to it, heat given to a system (ΔQ) is equal to the sum of the increase in its internal energy, (ΔU), and the work is done (ΔW) by the system against the surroundings.

i.e ΔQ = ΔU + ΔW [∴ ΔW = p ΔV]

  • In isothermal change, the temperature remains constant and the internal energy is a state function and it is dependent on temperature.
  • Hence, the change in internal energy is zero.


⇒ ΔU =0

⇒ ΔQ = ΔW

Hence, option (4) is correct.

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