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The given quantity of an ideal gas is at pressure P and absolute temperature T .the isothermal bulk modulus of the gas is

Riya , 5 Years ago
Grade 12th pass
anser 2 Answers
Arun

Last Activity: 5 Years ago

Dear Riya
 
Isothermal bulk modulus is ratio of volumetric stress to volumetric strain at constant temperature i.e.,
B = – dP/ (dV/V) =  – V (dP / dV)T
Differentiate the ideal gas equation, PV = nRT at constant T to get
(dP/dV)T = – P/V
substitute dP/dV from second equation into first equation to get B = P
 
Hope it helps

Khimraj

Last Activity: 5 Years ago

Here PV = constant ∴

PdV = - VdP

i.e. dP/dV=−P/V

Bulk Modulus, K = −dP/dV/V=−(dP/dV)V=−(−PV/V) = P

Hope it clears.......................................

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