Physics - Elasticity Question with Solution | TestHub

Given, Initial pressure of liquid $\left(P_i\right)=1\mathrm{atm}$
Final pressure of liquid $\left({\mathrm{P}}_{\mathrm{f}}\right)=5\mathrm{atm}$
Change in pressure $(\mathrm{dP})={\mathrm{P}}_{\mathrm{f}}-{\mathrm{P}}_{\mathrm{i}}=4\mathrm{atm}$
$=4\times 10^5\mathrm{Pa}$
Change in volume $(\mathrm{dV})=-0.8{\mathrm{cm}}^3$
Bulk modulus $(B)=2\times 10^9\mathrm{Pa}$
Now, $B=\frac{-dP}{(dV/V)}\Rightarrow V=-B\left(\frac{dV}{dP}\right)$
$\begin{array}{rl}\Rightarrow & V=-2\times 10^9\times \frac{\left(-0.8\times 10^{-6}\right)}{4\times 10^5}\\ & =4\times 10^{-3}{\mathrm{m}}^3=4\text{ litre }\end{array}$