Question

When the temperature of a 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 changes by $10$%. The bulk modulus is

• A. $1.55\times {10}^{5}Pa$
• B. $1.05\times {10}^{5}Pa$
• C. $1.4\times {10}^{5}Pa$
• D. $0.115\times {10}^{5}Pa$

Answer 1

Answer: (A)

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

Bulk Modulus, $B=\frac{△P}{△V/V}$
$\frac{△V}{V}\times 100$% $=10$%
$\frac{△V}{V}=\frac{10}{100}=\frac{1}{10}$
$△P=(1.165-1.01)\times {10}^{5}Pa$
$=0.155\times {10}^{5}Pa$
$B=\frac{0.155\times {10}^5}{1/10}Pa$
$=1.55\times {10}^{5}Pa$