Question

When temperature of a gas is ${20}^{\circ }C$ and pressure is changed from $p_1=1.01\times {10}^{5}Pa$ to $p_2=1.165\times {10}^{5}Pa$, the volume changes by $10\%$. The bulk modulus is

• A. $1.55\times {10}^5$
• B. $0.155\times {10}^5$
• C. $1.4\times {10}^5$
• D. $1.01\times {10}^5$

Answer 1

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

Bulk modulus =$B$

Change in pressure = $△p$

Change in volume = $△v$

$B=-\frac{△p}{△v/V}=\frac{(1.165\times {10}^5-1.01\times {10}^5)}{0.1}$
$=1.55\times {10}^{5}Pa$.