Peculiar Fluid Equations and Critical Points Quiz

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5 Questions

What is the equation of state for the peculiar fluid close to the critical point?

p = a t + b t^3

What are the values of pcr and Vcr on the critical isotherm?

pcr = 0, Vcr = 0

In the subcritical case, when the volume is lowered to an appropriate value, the pressure changes from *** to ****. What is the formula for this change?

p1 to p2 = (aV^3 - 3bV) / V^3

Assuming γ = 1, what are the critical exponents associated with the isothermal compressibility and isobaric expansivity close to and below the critical temperature?

γ = 1, β = 1/3

Integrate the equation of state to obtain the Helmholtz free energy.

F = -aT^2 / 2 + bT^4 / 4

Test your knowledge on peculiar fluid equations near the critical point, determining values of pressure and volume at critical conditions, and sketching super-critical and subcritical isotherms. Explore the relationship between pressure, volume, and temperature in subcritical scenarios.

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