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
Medium
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A
a (a) For an isothermal process $PV =$ constant
==> $PdV + VdP = 0$ ==> $ - \frac{1}{V}\left( {\frac{{dV}}{{dP}}} \right) = \frac{1}{P}$
So, $\beta = \frac{1}{P}$ graph will be rectangular hyperbola.
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