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

Question

Arun · Answer

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 · Answer

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

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

2 Answers

Here PV = constant ∴

PdV = - VdP

i.e. dP/dV=−P/V

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

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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

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

2 Answers

Here PV = constant ∴

PdV = - VdP

i.e. dP/dV=−P/V

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

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