Question

The pressure of a medium is changed from $1.01\times 10^5\text{P}\text{a}$ to $1.165\times 10^5\text{P}\text{a}$ and change in volume is $10\%$ keeping temperature constant.The bulk modulus of the medium is

• A. $204.8\times 10^5\text{P}\text{a}$
• B. $102.4\times 10^5\text{P}\text{a}$
• C. $51.2\times 10^5\text{P}\text{a}$
• D. $1.55\times 10^5\text{P}\text{a}$

Answer 1

Answer: (D)

From the definition of bulk modulus,
$\beta =-\frac{\Delta P}{\Delta V/V}=-V\cdot \frac{\Delta P}{\Delta V}$
Substituting the values, we have
$\beta =\frac{-(1.165-1.01)\times {\left(10\right)}^5}{-10}\times 100=1.55\times {\left(10\right)}^{5}Pa$