A new (and completely imaginary) substance has beeen found that when combined wo

Question

A new (and completely imaginary) substance has beeen found that when combined woth water vapor results in behavior that differs from that of an ideal gas. The equation of state of this mixture is (P-a)=RT, where v is the specific volume, and a=5.47x10^4 pa.

A) explain the physical meaning of the -a term in the equation of state. That is, what is going on here physically which this term is quallifying? Think both in terms of the macroscopic quantity involved  (pressure) as well as what is happening at the microscopic level. Compare to the ideal gas law and the van der Waals equation of state.

B) Compute the work done by this mixture for the isothermal expansion, 2 Kilomoles of the mixture expand from a volume of 30 m^3 to a volume of 60 m^3 at a temprature of 100 degrees C.

Explanation / Answer

there is some force of attraction between the molecules, a represents that attractive force. because of that decrese in pressure in euation term the temperature will not be same as compared to ideal gas.

B)W = int Pdv

W = int(nRT+a/V)

= (nRT+a)ln(V2/V1)

=(2000*3.184*373+5470*ln(60/30)

= 7327.3J

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