Q199 / 200 · Manipal (MET) 2014 · Physics

Temperature of a gas is $20^{\circ} \mathrm{C}$ and pressure is changed from $1.01 \times 10^5 \mathrm{~Pa}$ to $1.165 \times 10^5 \mathrm{~Pa}$. If volume is decreased isothermally by $10 \%$. Bulk modulus of gas is

  • Correct answer
    A
    $1.55 \times 10^5$
  • B
    $0.155 \times 10^5$
  • C
    $1.4 \times 10^5$
  • D
    $1.01 \times 10^5$

Solution

$\begin{aligned} B=-\frac{\Delta p}{\left(\frac{\Delta V}{V}\right)} & =-\frac{(1.165-1.01) \times 10^5}{0.1} \\ & =1.55 \times 10^5\end{aligned}$

Hence, the correct answer is option: 'A'.

More Mechanical Properties of Solids Questions