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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

From `PV=RT`
`dV.P+V.dP=0`
or `((dV)/(dP))= -(V)/(P)` or `beta=(1)/(P)` (Rectangular hyperbola)
`betaxxP=1`. Thus plot of `beta` Vs `P` gives (a)
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