Grade 12th passMechanics

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

Riya

7 Years agoGrade 12th pass

2 Answers

Arun

7 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

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

Riya

2 Answers

Arun

Khimraj

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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