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

As PV = RT So P.dV + V.dP = 0 or d V d P = - V P or β = - d V d P T V = 1 P Hence plot in A is correct.

Chemistry - Ideal Gas Question with Solution | TestHub

ChemistryIdeal GasMiscellaneous/MixedEasy2 minPYQ_2020

ChemistryEasysingle choice

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

Options:

Answer:

Solution:

As PV = RT

So P.dV + V.dP = 0

or $[\frac{d V}{d P}] = - \frac{V}{P}$

or $β = - \frac{{[\frac{d V}{d P}]}_{T}}{V} = \frac{1}{P}$

Hence plot in A is correct.

Stream:NTA_ABHYASSubject:ChemistryTopic:Ideal GasSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2020

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