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Thermodynamics question

2019 · 12 Jan · Shift 1 · Q15
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Thermodynamics question

2019 · 12 Jan · Shift 1 · Q15

JEE MainChemistryThermodynamicsMCQ+4 / −1
For diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?
  1. A
    JEE Main 2019 (Online) 12th January Morning Slot Chemistry - Thermodynamics Question 151 English Option 1
  2. B
    JEE Main 2019 (Online) 12th January Morning Slot Chemistry - Thermodynamics Question 151 English Option 2
  3. C
    JEE Main 2019 (Online) 12th January Morning Slot Chemistry - Thermodynamics Question 151 English Option 3
  4. D
    JEE Main 2019 (Online) 12th January Morning Slot Chemistry - Thermodynamics Question 151 English Option 4
View written solutionFree

Correct answer: CANNOT BE DETERMINED FROM THE GIVEN INFORMATION BECAUSE THE PLOTS/OPTIONS A–D ARE MISSING.

The question asks which plot is incorrect for a diatomic ideal gas in a closed system, but the actual graphs/options A, B, C, D are missing from the prompt.

So, the key issue is:

  1. The question depends entirely on the shapes/labels of the plots.
  2. Since those plots are not visible or described, it is impossible to evaluate which one is incorrect.
  3. Therefore, no valid derivation of the correct option can be made from the information provided.

What would normally be used for such a question?

For a diatomic ideal gas (assuming no vibrational modes active), we use:

CV=52R,CP=72RC_V = \frac{5}{2}R, \qquad C_P = \frac{7}{2}RCV​=25​R,CP​=27​R

and for an ideal gas,

U=nCVT,H=nCPTU = nC_V T, \qquad H = nC_P TU=nCV​T,H=nCP​T

Also,

PV=nRTPV = nRTPV=nRT

So common valid graph relations are:

  1. U∝TU \propto TU∝T
  2. H∝TH \propto TH∝T
  3. PV∝TPV \propto TPV∝T
  4. At constant volume, P∝TP \propto TP∝T
  5. At constant pressure, V∝TV \propto TV∝T
  6. H−U=nRTH-U = nRTH−U=nRT

But without the actual plotted axes and curve shapes for options A–D, we cannot determine which plot is wrong.

Conclusion

The problem statement is incomplete because the plots are missing. Hence the answer cannot be verified from the supplied data.

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