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In a cyclic process.

Select one:

  • a)
    Work done by the system is equal the quantity of heat given to the system

  • b)
    The internal energy of the system increases

  • c)
    Work done is zero

  • d)
    Work done does not depend on the quantity of heat given to the system

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a cyclic process.Select one:a)Work done by the system is equal the ...
Because the process is cyclic, there is no change in internal energy after each cycle. Therefore the net work done in each cycle equals the heat added to the system. 
Step 2 - Isochoric process: The work done is W2 = 0. Heat Q2 is removed from the system because the temperature decreases from T1 to T2.
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In a cyclic process.Select one:a)Work done by the system is equal the ...
Understanding Cyclic Processes
In thermodynamics, a cyclic process is one where the system returns to its initial state after a series of transformations. This has significant implications for work and heat exchange.
Key Characteristics of Cyclic Processes:
- Work Done: During a complete cycle, the net work done by the system is equal to the area enclosed by the process path on a Pressure-Volume (PV) diagram.
- Heat Exchange: The heat exchanged (Q) can be either absorbed or released by the system during different stages of the cycle.
Why Option A is Correct:
- Work and Heat Relationship: In a cyclic process, according to the First Law of Thermodynamics (ΔU = Q - W), the change in internal energy (ΔU) over a complete cycle is zero, as the system returns to its initial state. This leads to the equation:
- Q = W (for a complete cycle).
- Interpretation: This indicates that the total work done by the system is equal to the total heat absorbed by the system. Therefore, if the system does work on the surroundings, it must have received an equivalent amount of heat from the surroundings.
Reasons Other Options are Incorrect:
- Option B: The internal energy does not necessarily increase over a cycle because it returns to its initial state.
- Option C: Work done is not zero; it is equal to the heat exchanged.
- Option D: Work done is indeed dependent on the quantity of heat given to the system, as per the First Law.
Conclusion:
In a cyclic process, the work done by the system is equal to the quantity of heat transferred into the system, confirming that option A is the correct answer.
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In a cyclic process.Select one:a)Work done by the system is equal the ...
Correct Answer :- a
Explanation : In a cyclic process, the system starts and returns to the same thermodynamic state.
Thus, change in internal energy in a cyclic process  ΔU=0
From !st law of thermodynamics,  ΔQ = ΔU + ΔW
⟹ ΔQ = 0 + ΔW
ΔQ = ΔW
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In a cyclic process.Select one:a)Work done by the system is equal the quantity of heat given to the systemb)The internal energy of the system increasesc)Work done is zerod)Work done does not depend on the quantity of heat given to the systemCorrect answer is option 'A'. Can you explain this answer?
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