Question

If the pressure of the gas is increased from $1.01 \times 10^{5}$ pa to $2 \times 10^{5} Pa$ and volume is decreased by $25 \%$ at constant temperature, then the bulk modulus of the gas is

• A. $3.96 \times 10^{5} N / m ^{2} \quad$
• B. $4 \times 10^{5} N / m ^{2}$
• C. $10^{-5} N / m ^{2}$
• D. $10^{5} N / m ^{2}$

Answer 1

Answer: (A)

$B=\frac{-V d P}{d V}=4(2-1.01) \times 10^{5}$
$=(0.99) 4 \times 10^{5}$
$\therefore B=3.96 \times 10^{5} N / m ^{2}$