Question

When temperature of a gas is ${20}^{o}C$ and pressure is changed from $P_1=1.0\times {10}^{5}Pa$ to $P_2=1.65\times {10}^{5}Pa$ and the volume is changed by 10%. The bulk modulus is :

• A. $1.55\times {10}^{5}Pa$
• B. $1.15\times {10}^{5}Pa$
• C. $1.4\times {10}^{5}Pa$
• D. $1.01\times {10}^{5}Pa$

Answer 1

Answer: (A)

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

Given,

$T={20}^{0}C$

$P_1=1.01\times {10}^{5}Pa$

$P_2=1.165\times {10}^{5}Pa$

$\Delta P=P_2-P_1=1.165\times {10}^5-1.01\times {10}^5=0.155\times {10}^{5}Pa$

$\frac{\Delta V}{V}=10$% $=0.1$

Bulk modulus, $B=\frac{\Delta P}{\Delta V/V}$

$B=\frac{0.65\times {10}^5}{0.1}=1.55\times {10}^{5}Pa$

The correct option is A.