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Heat and Thermodynamics question

2023 · 15 Apr · Shift 1 · Q58
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Heat and Thermodynamics question

2023 · 15 Apr · Shift 1 · Q58

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
A thermodynamic system is taken through cyclic process. The total work done in the process is : JEE Main 2023 (Online) 15th April Morning Shift Physics - Heat and Thermodynamics Question 120 English
  1. A
    100 J100 \mathrm{~J}100 J
  2. B
    Zero
  3. C
    300 J300 \mathrm{~J}300 J
  4. D
    200 J200 \mathrm{~J}200 J
View written solutionFree

Correct answer: QUESTION IS INCOMPLETE; NET WORK IN A CYCLIC PROCESS CANNOT BE NUMERICALLY DETERMINED WITHOUT ADDITIONAL DATA (SUCH AS HEAT SUPPLIED OR AREA ENCLOSED IN A P-V DIAGRAM).

  1. In a cyclic thermodynamic process, the system returns to its initial state.

  2. Since internal energy is a state function, the net change in internal energy over one complete cycle is:

ΔU=0\Delta U = 0ΔU=0
  1. From the first law of thermodynamics:
Q=ΔU+WQ = \Delta U + WQ=ΔU+W

Over a cycle, this becomes:

Q=WQ = WQ=W

So, the net work done in a cyclic process is equal to the net heat supplied.

  1. However, in this question, no PPP-VVV graph or heat data is provided. Therefore, the only universally true conclusion for a cyclic process is:
  • ΔU=0\Delta U = 0ΔU=0
  • but work done need not be zero.
  1. The numerical value of work done cannot be determined from the given information alone.

  2. Hence, among the given options, none can be uniquely justified from the statement alone. So the stored answer 300 J300\,\text{J}300J cannot be concluded from the provided data.

  3. Also note:

  • Option B (Zero) is incorrect in general, because in a cyclic process net work can be nonzero.
  • Options A, C, and D are all specific numbers, but no data is given to choose among them.

Therefore, the question as presented is incomplete.

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