Adiabatic Bulk modulus of a diatomic gas at atmospheric pressure is

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11.Thermodynamics

hard

The adiabatic Bulk modulus of a diatomic gas at atmospheric pressure is

A

$0 \,\,Nm^{-2}$

B

$1\,\, Nm^{-2}$

C

$1.4 \times 10^4 \,\,Nm^{-2}$

D

$1.4\,\, \times 10^5 \,\,Nm^{-2}$

Solution

We have the bulk modulus formula as$:$

Bulk Modulus $=\frac{\text { Pressure }}{\text { Strain }}=\frac{p}{\left(V_{0}-V_{n}\right) / V_{0}}$

For an adiabatic process, the bulk modulus is given by

$k=-\frac{V \Delta p}{\Delta V}=\gamma p$

adiabatic bulk modulus $=\gamma p$

At NTP, $p=1.013 \times 10^{5} N / m^{2}$ and $\gamma=1.4$

Hence Bulk modulus $=1.013 \times 10^{5} \times 1.4 \approx 1.4 \times 10^{5} N / m^{2}$

Standard 11

Physics

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