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1. ⇒ (MHT CET 2023 11th May Morning Shift )

Which of the following formulae is used to determine compressibility factor for measurement of deviation from ideal behaviour?

A. $Z = \frac{nRT}{PV}$

B. $Z = \frac{PV}{nRT}$

C. $Z = \frac{nRT}{V}$

D. $Z = \frac{nRT}{P}$

Correct Option is (B)

Currently no explanation available

2. ⇒ (MHT CET 2023 10th May Evening Shift )

What is the volume of 1 mole real gas at STP $(V_{0} = 22.4 {dm}^{3})$ , if compressibility factor of real gas is 1.1 at STP?

A. $22.40 {dm}^{3}$

B. $23.64 {dm}^{3}$

C. $24.64 {dm}^{3}$

D. $23.50 {dm}^{3}$

Correct Option is (C)

$\begin{aligned} Z = \frac{V_{real}}{V_{ideal}} \\ V_{real} = Z \times V_{ideal} = 1.1 \times 22.4 = 24.64 {dm}^{3} \end{aligned}$

Alternate method:

$\begin{aligned} Z = \frac{PV}{nRT} \\ 1.1 = \frac{1 \times V}{1 \times 0.08206 \times 273} \\ 1.1 = \frac{V}{0.08206 \times 273} \\ ∴ V = 24.64 {dm}^{3} \end{aligned}$

⇒States of Matter