If the pressure of the gas is increased from 1.01 × 105 pa to 2 × 105 Pa and volume is decreased by 25 % at constant temperature, then the bulk modulus of the gas is

Question

If the pressure of the gas is increased from 1.01 × 105 pa to 2 × 105 Pa and volume is decreased by 25 % at constant temperature, then the bulk modulus of the gas is (A) 3.96 × 105 N / m 2  (B) 4 × 105 N / m 2 (C) 10-5 N / m 2 (D) 105 N / m 2

Tardigrade Admin · Accepted Answer

B=(-V d P/d V)=4(2-1.01) × 105 =(0.99) 4 × 105 ∴ B=3.96 × 105 N / m 2

Q. If the pressure of the gas is increased from $1.01 \times 1 0^{5}$ pa to $2 \times 1 0^{5} P a$ and volume is decreased by $25%$ at constant temperature, then the bulk modulus of the gas is

$3.96 \times 1 0^{5} N / m^{2}$

$4 \times 1 0^{5} N / m^{2}$

$1 0^{- 5} N / m^{2}$

$1 0^{5} N / m^{2}$

$B = \frac{- V d P}{d V} = 4 (2 - 1.01) \times 1 0^{5}$
$= (0.99) 4 \times 1 0^{5}$
$∴ B = 3.96 \times 1 0^{5} N / m^{2}$

Q. If the pressure of the gas is increased from 1.01×105 pa to 2×105Pa and volume is decreased by 25% at constant temperature, then the bulk modulus of the gas is

3.96×105N/m2

4×105N/m2

10−5N/m2

105N/m2