Question

The bulk modulus of liquid is $1.2\times {10}^{9}N/m^2$ what is change in volume produced on a volume produced on a volume of $5$ liters by a pressure equal to ${10}^{6}N/m^2$?

• A. $1.2$cc
• B. $3.2$cc
• C. $4.2$cc
• D. $5$cc

Answer 1

Answer: (C)

$4.2$cc

$\begin{array}{c}B=1.2\times {10}^{9}N/m^2\\ P={10}^{6}N/m^2\\ V=5l\\ \Delta V=?\\ P=-B\frac{\Delta V}{V}\end{array}$

$\begin{array}{c}\Rightarrow \Delta V=\frac{PV}{B}\\ \Rightarrow \Delta V=\frac{{10}^6\times 5}{1.2\times {10}^9}\\ \Rightarrow △V=\frac{5}{1200}\\ \Rightarrow \Delta V=0.0042\ell =4.2cc.\end{array}$