Question

If the pressure of gas is increased from 1.01x${10}^5$Pa to 1.165x${10}^5$Pa and volume is decreased by 10% at constant temperature, then bulk modulus of the gas is

• A. $15.5\times {10}^{5}Pa$
• B. $1.4\times {10}^{15}Pa$
• C. $1.55\times {10}^{5}Pa$
• D. $0.0155\times {10}^{5}Pa$

Answer 1

Answer: (C)

$1.55\times {10}^{5}Pa$

Bulk modulus is defined as:
$K=\frac{\Delta P}{-\frac{\Delta V}{V}}$ .....(1)
As give,
$\Delta P=(1.165-1.010)\ast {10}^5=0.155Pa$
$\frac{\Delta V}{V}=-0.1$
Substituting $\Delta P$ and $\frac{\Delta V}{V}$ in eqn(1)
$K=\frac{0.155\ast {10}^5}{0.1}=1.55\ast {10}^{5}Pa$