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  • Which of the following graphs correctly represents the variation of <img alt="\mathrm{ B=\frac{-d v / d p}{v}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20B%3D%5Cfrac%

Which of the following graphs correctly represents the variation of \mathrm{ B=\frac{-d v / d p}{v}} with p for n ideal g as at constant temperature?
 

Option: 1


Option: 2


Option: 3


Option: 4

None of these


Answers (1)

best_answer

\mathrm{ P V=\text { constant } }

Differentiating both sides, we get. -

\begin{aligned} &\mathrm{ P d V+V d P=0 \Rightarrow P d V=-V d P \Rightarrow \frac{d V}{d P}=-\frac{V}{P}+} \\ &\mathrm{ \Rightarrow \frac{1}{P}=-\frac{d v / d P}{V}=\beta} \end{aligned}

since, \mathrm{\beta=\frac{1}{p}} : inverse relation results into rectangular hyperbola.

Posted by

Rishabh

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