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Which of the following graphs correctly ...

Which of the following graphs correctly represents the variation of `beta=-(dV//dP)/V`
with P for an ideal gas at constant temperature?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
`(PV)=`constant
Deifferentiating, `(PdV)/(dP)=-V`
`beta=-((1)/(V))((dV)/(dP))=((1)/(P)) implies betaxxP=1`
Therefore, the graph between `beta` and `P` will be a rectangular hyperbola. `(a)` is the correct option.
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