Question

In: Physics

calculate the coefficient of isothermal compressibility of a gas at 440 psia and temperature of 80...

calculate the coefficient of isothermal compressibility of a gas at 440 psia and temperature of 80 F. Specific gravity of gas is 0.697. Please show all work.

Solutions

Expert Solution

Thermodynamically, Isothermal compressibility is defined as the reciprocal of Isothermal Bulk modulus of elasticity.

So we have to find Bisothermal as the first step.

Bulk modulus is defined as the ratio between pressure increase and the resulting decrease in a material's volume

  

For an Ideal gas, PV = nRT

Differentiate P with respect to V keeping temperature constant, ie isothermal ()

where nRT = PV

we know that

Given P = 440psia = 3.03 x 106 Pa (SI unit)


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