Question

The adiabatic bulk modulus of a diatomic gas at atmosphere pressure is:

Answer 1

Explanation:

We have the bulk modulus formula as: For an adiabatic process, the bulk modulus is given by κ = −V dp / dV = γ p adiabatic bulk modulus = γP at NTP, P = 1.013 × 105 N/m2 & γ = 1.4 hence bulk modulus = 1.013 × 105 × 1.4 ≃ 1.4 × 105

Answer 2

The adiabatic bulk modulus of a diatomic gas at atmosphere pressure is $1.414\times 10^5\ N/m^2$ .

We need to find the adiabatic bulk modulus of a diatomic gas at atmosphere pressure .

We know , bulk modulus in adiabatic process is given by :

$k=-\dfrac{V\Delta P}{\Delta V}=\gamma P$    ..... 1 .

At Normal temperature pressure is given by :

$p=1.01\times 10^5\ N/m^2$

Also , $\gamma = 1.4$

Putting all these in equation 1 we get :

$k=1.01\times 10^5\times 1.4\\k=1.414\times 10^5\ N/m^2$

Hence , this is the required solution .

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Thermodynamics

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