In: Physics
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.
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)