Which of the following formula is used to calculate compressibility factor?

Which of the following formula is used to calculate compressibility factor?
  1. $\mathrm{Z}=\frac{\mathrm{PVT}}{\mathrm{R}}$
  2. $\mathrm{Z}=\frac{\mathrm{nRT}}{\mathrm{PV}}$
  3. $\mathrm{Z}=\frac{\mathrm{PV}}{\mathrm{nRT}}$
  4. $\mathrm{Z}=\left(\frac{\mathrm{PV}}{\mathrm{RT}}\right) \times \mathrm{n}$

Solution

(1) $Z=\frac{P V T}{R}$ : This is incorrect because the units on both sides don't match. (2) $Z=\frac{n R T}{P V}$ : This is incorrect because it's the inverse of the correct formula. (3) $Z=\frac{P V}{n R T}$ : This is the correct formula for the compressibility factor. (4) $Z=\frac{(P V)}{R T} \times n$ : This is also incorrect because it doesn't match the standard formula for $Z$.

Asked in: MHT CET 2024 (04 May Shift 2)

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