First slide

Gaseous state

Question

Which of the following gases follows non-ideal behaviour?

Difficult

A

N₂ gas having density 1.25 g L^-1 at STP
B

2.8 g CO gas in 0.1 L flask exerting a pressure of 24.63 atm at 300 K
C

1.6 g CH₄ in 0.5 L flask at 273 K exerting a pressure of 4 atm
D

0.1 g H₂ gas at STP occupies volume of 1.12 L

Solution

Non-ideal behaviour is followed if $pV \neq nRT$
$(a) p = \frac{n}{V} RT = \frac{W}{mV} RT = \frac{dRT}{m}$
LHS p = l atm
$RHS \frac{dRT}{m} = \frac{1 .25 {gL}^{- 1} \times 0 .0821 Latm {mol}^{- 1} K^{- 1} \times 273 K}{28 g {mol}^{- 1}}$
= 1
Thus, $p = \frac{dRT}{m} Thus, ideal behaviour$
$(b) pV = nRT 24 .63 \times 0 .1 = \frac{2 .8}{28} \times 0 .0821 \times 300$
2.463 = 2.463
Thus, ideal behaviour.
$(c) pV = nRT 4 \times 0 .5 = \frac{1 .6}{16} \times 0 .0821 \times 273$
2 = 2.24
$Thus, pV \neq nRT$
Thus, non-ideal behaviour.

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