For a pure, simple fluid the molecular form of the corresponding states principl

Question

For a pure, simple fluid the molecular form of the corresponding states principle can be writtern Po 3 / , T* = kT / , V*-V/o 3,fi is a universal function for all the fluids in the g states group, and and are distance and energy parameters in the intermolecular P" where correspondin potential energy function. (a) What assumptions are implicit in this equation? Explain why argon, krypton and methane obey this law, but water, methanol, neopentane and helium do not. (b) For more complex fluids a three-parameter corresponding states principle is often used, where X is some appropriate third parameter. Discuss appropriate criteria for choosing a suitable third parameter X, and give an example of a widely used third parameter of this kind

Explanation / Answer

(a) Assumptions that are evident from the info given are, (i) behaviour of gases is similar when
they have same corresponding states (ii) P* is strictly function of V* & T* and that it varies
with these 2 variables. (iii) This law is only for simple gases
Argon, krypton and methane seem to depend on both V* and T* within the range while
water, methanol & other gases become independent either of these 2 variables, most likely
T*.

b) The appropriate third parameter X could be Acentric factor denoted as (omega).
is the measurement of the amount of property that will differ from the value predicted by using
  the principle of Corresponding States.
This acentric factor is used in many equation of states to define certain fluid models

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