Which of the following graphs correctly represents the variation β β = - d V d P T / V of with P for an ideal gas at constant temperature?

As P V = R T So P × dV + V × dP = 0 or d V d P r = V P or β = d V d P r V = 1 P Hence, Plot in (A) is correct.

Chemistry - Thermodynamics - 1 Question with Solution | TestHub

ChemistryThermodynamics - 1Adiabatic Process/PolytropicEasy2 minPYQ_2020

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Which of the following graphs correctly represents the variation $β [β = - {(\frac{d V}{d P})}_{T} / V]$ of with P for an ideal gas at constant temperature?

Options:

Answer:

Solution:

As $P V = R T$
So $P × dV + V × dP = 0$
or ${[\frac{d V}{d P}]}_{r} = \frac{V}{P}$
or $β = \frac{{[\frac{d V}{d P}]}_{r}}{V} = \frac{1}{P}$
Hence, Plot in (A) is correct.

Stream:NTA_ABHYASSubject:ChemistryTopic:Thermodynamics - 1Subtopic:Adiabatic Process/Polytropic

⏱ 2mℹ️ Source: PYQ_2020

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