Question

When the pressure on a fluid is changed from $1.01\times {10}^5$ Pa to $1.165\times {10}^5$ Pa. The volume changes by 10% the bulk modulus of fluid is

• A. $1.55\times {10}^5$ Pa
• B. $0.55\times {10}^5$ Pa
• C. $1.055\times {10}^5$ Pa
• D. $15.5\times {10}^4$ Pa

Answer 1

The correct option is A $1.55\times {10}^5$ Pa

$\begin{array}{c}\text{Given initial pressure on fluid}=1.01\times {10}^{5}Pa\\ \text{Final pressure on fluid}=1.165\times {10}^{5}Pa\\ \text{volume change}\frac{\Delta V}{V}=10\%\end{array}$

$\begin{array}{cc}\text{Bulk modulus}& =\frac{\Delta p}{\frac{\Delta v}{v}}\\ & =\frac{(1.165-1.01)\times {10}^5}{10\times {10}^{-2}}\\ B& =1.55\times {10}^{5}Pa\end{array}$