The adiabatic Bulk modulus of a diatomic gas | vedclass

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Question

We have the bulk modulus formula as$:$

Bulk Modulus $=\frac{	ext { Pressure }}{	ext { Strain }}=\frac{p}{\left(V_{0}-V_{n}ight) / V_{0}}$

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Vedclass · Accepted Answer

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

Vedclass · Answer

We have the bulk modulus formula as$:$

Bulk Modulus $=\frac{	ext { Pressure }}{	ext { Strain }}=\frac{p}{\left(V_{0}-V_{n}ight) / V_{0}}$

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, $p=1.013 	imes 10^{5} N / m^{2}$ and $\gamma=1.4$

Hence Bulk modulus $=1.013 	imes 10^{5} 	imes 1.4 \approx 1.4 	imes 10^{5} N / m^{2}$

List $I$	List $II$
$A$ Isothermal Process	$I$ Work done by the gas decreases internal energy
$B$ Adiabatic Process	$II$ No change in internal energy
$C$ Isochoric Process	$III$ The heat absorbed goes partly to increase internal energy and partly to do work
$D$ Isobaric Process	$IV$ No work is done on or by the gas

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

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