Question

The value of PcVc/RTc is:

(A) 8.314

(B) 0.375

(C) 2.000

(D) 0.082

Answer 1

Answer:

OPTION (B)0.375 will be the value of PcVc/RTc

Answer 2

Concept:

It is fixed at 3/8 for the critical compression factor (PcVc / RTc). It is important to note that the van der Waals equation rarely predicts the final critical value in a way that agrees with the actual results, indicating that the critical compression factor does vary slightly.

Given:

Pc = pressure of gas in its critical state

Vc = volume of gas in the critical state

Tc = temperature at and above which the vapor state cannot be further liquified

Find:

The value of PcVc / RTc is?

Solution:

We know that the value of the universal gas constant (R) is 8.314 L Pa K⁻¹ mol⁻¹.

By substituting the given values in the above expression we can calculate the value of PcVc / RTc as follows below:

           PcVc / RTc = 3/8 RTc

                               = 0.375 RTc

Hence, the correct option is (B) 0.375.

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