Question

When temperature of gas is ${20}^{0}C$ and pressure is changed from $P_1$=1.01$\times {10}^5$Pa to $P_2$=1.165$\times {10}^5$Pa then the volume changed by 10%. the bulk modulus is:

• A. $1.55\times {10}^{5}Pa$
• B. $0.155\times {10}^{5}Pa$
• C. $15.5\times {10}^{5}Pa$
• D. $155\times {10}^{5}Pa$

Answer 1

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

Change in pressure,

$△P=P_2-P_1$

$=0.155\times {10}^5{P}_a$

and,

$\frac{△V}{V}=\frac{10}{100}$

$\therefore$ Bulk Modulus$=\frac{△P}{\frac{△V}{V}}$

$=\frac{0.155\times {10}^5}{\frac{10}{100}}$

$=1.55\times {10}^5{P}^a$