Question

Temperature of a gas is ${20}^{0}C$ and pressure is changed from $1.01\times {10}^5$ Pa to $1.165\times {10}^{5}Pa$. If volume is decreased isothermally by 10%. The bulk modulus of gas is (in $Pa$):

• 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 $B=\frac{Pressure}{Strain}=\frac{-\Delta P}{\frac{\Delta l\times A}{L\times A}}=-\frac{\Delta P}{\frac{\Delta V}{V}}=\frac{(1.01-1.165)\times {10}^5}{-0.1}=1.55\times {10}^{5}Pa$