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The Final Volume of a System is Equal to the Initial Volume in a Certain Process. is the Work Done by the System Necessarily Zero? is It Necessarily Nonzero?

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प्रश्न

The final volume of a system is equal to the initial volume in a certain process. Is the work done by the system necessarily zero? Is it necessarily nonzero?

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उत्तर

Work done by the system is neither necessarily zero nor necessarily non-zero.

If in a certain process, the pressure P stays constant, then

ΔW = P Δ V

⇒ W = P(V2 - V1)

As V2 = V1

⇒ W = 0

(Initial volume, V1 = Final volume, V2)

Hence, it is an isobaric process.

Even if P = P(V), net work done will be zero if V2 = V1. In this case, work done is zero.

If the system goes through  a cyclic process, then initial volume gets equal to the final volume after one cycle. But work done by the gas is non-zero.

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अध्याय 26: Laws of Thermodynamics - Short Answers [पृष्ठ ६०]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 26 Laws of Thermodynamics
Short Answers | Q 8 | पृष्ठ ६०

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