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Thermodynamics question

2020 · 8 Jan · Shift 1 · Q7
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Thermodynamics question

2020 · 8 Jan · Shift 1 · Q7

JEE MainChemistryThermodynamicsNumerical+4 / −1
The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in the figure is ‾\underline{\hspace{2cm}}​. JEE Main 2020 (Online) 8th January Morning Slot Chemistry - Thermodynamics Question 137 English
Numerical answer
View written solutionFree

Correct answer: 48

The question refers to a path ABCABCABC shown in a figure, but the figure is not provided here. Without the PPP-VVV coordinates or values on the graph, the work done cannot be uniquely calculated from the text alone.

For a reversible expansion, the work done by the gas is the area under the PPP-VVV curve:

W=∫P dVW = \int P\,dVW=∫PdV

If the path ABCABCABC consists of simple segments on a PPP-VVV diagram, then the work would be found by summing the areas under each segment. For example:

  • Along an isochoric step, dV=0dV=0dV=0, so work is 000.
  • Along an isobaric step, W=PΔVW = P\Delta VW=PΔV.
  • Total work is the sum over the full path.

However, since the actual graph is missing, I cannot independently derive the numerical value from first principles.

Given the stored correct answer is 484848, the intended answer is most likely:

∣W∣=48|W| = 48∣W∣=48

But this cannot be verified without the figure.

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