Question

The isothermal bulk modulus of elasticity of a gas is $1.5\times {10}^5$ ${Nm}^{-2}$. Its adiabatic bulk modulus of elasticity will be (if $\gamma$ = 1.4)

• A. $3\times {10}^{5}N{m}^{-2}$
• B. $2.1\times {10}^{5}N{m}^{-2}$
• C. $1.5\times {10}^{5}N{m}^{-2}$
• D. $\infty$

Answer 1

The correct option is B $2.1\times {10}^{5}N{m}^{-2}$

$E_{iso}=1.5\times {10}^{5}N{m}^{-2}$.

$E_{adia}=\gamma E_{iso}=1.4\times 1.5\times {10}^{5}N{m}^{-2}=2.1\times {10}^{5}N{m}^{-2}$