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Liquefaction of Gases and Critical Constants

Question

The vander waals constants for $H C l$ are a $371.843 K P a$ and $b = 40.8 c m^{3} m o l^{- 1}$ . Choose the correct options:
The critical pressure is $8.273 M P a$
The critical volume is $122.4 c m^{3}$
The critical temperature is $224.8 K$
The critical temperature is $324.8 K$

The critical pressure is

8.273 M P a

The critical temperature is

224.8 K

The critical volume is

122.4 c m^{3}

The critical temperature is

324.8 K

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Solution

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The correct option is A The critical pressure is $8.273 M P a$
Critical pressure $P_{c} = \frac{a}{27 b^{2}}$
given $a = 371.843 K P a = 371.843 \times 10^{- 3}$ Pa
$b = 40.8 {c m}^{3} {m o l}^{- 1}$
$P_{c} = \frac{371.843 \times 10^{3}}{27 \times (40.8)^{2} \times 10^{- 6}} = 8.273 \times 10^{6}$
$P_{a}$ $= 8.273$ MPa

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