Thus, \(\Delta V =-\frac{ pV }{ B }\) or \(V ^{\prime}- V =-\frac{ pV }{ B }\) Or, \(V^{\prime}=V\left(1-\frac{p}{B}\right)\)

Now, \(\rho^{\prime}=\frac{ m }{ V ^{\prime}}=\frac{ m }{ V \left(1-\frac{ P }{ B }\right)}=\frac{\rho}{\left(1-\frac{ p }{ B }\right)}\)

\(\frac{\rho^{\prime}}{\rho}=\frac{1}{\left(1-\frac{ p }{ B }\right)}\)