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Isothermal compressibility of an ideal gas is

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Explanation:

Compressibility (τ):

Compressibility is thus inverse of bulk modulus. Hence compressibility can be defined as the incurred volummetric strain for unit change in pressure.

Isentropic compressibility: 

Isothermal compressibility: 

Since: PV=nRT

Hence, isothermal compressibility is

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