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  4. Which of the following graphs correctly represent the variation of β = -(dV / dp/V) with p for an ideai gas at constant temperature?

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Q. Which of the following graphs correctly represent the variation of $\beta = -\frac{dV / dp}{V}$ with p for an ideai gas at constant temperature?

IIT JEEIIT JEE 2002Thermodynamics

Solution:

$\beta =-\frac{dV / dp}{V}=$ compressibility of gas
$=\frac{1}{Bulk \, modulus \, of \, elasticity}$
and $\beta =\frac{1}{p}$ under isothermal conditions
Thus, $\beta$ versus p graph will be a rectangular hyperbola