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Liquefaction of Gases and Critical Constants

Which of the ...

Question

Which of the following statements on critical constants of gases are correct?
$I :$ Larger the $T_{c} / p_{c}$ value of a gas, larger would be the excluded volume.
$I I :$ Critical temperature $(T_{c})$ of a gas is greater than its Boyles's temperature $(T_{b})$ .
$I I I :$ At the critical point in the van der Waals' gas isotherm.
$(\frac{δ p}{δ V_{m}}) T_{c} = 0$

I

and

I I

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I

and

I I I

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I I

and

I I I

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I

I I

and

I I I

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Solution

The correct option is B $I$ and $I I I$
$As critical temperature = \frac{8}{27} (Boyle's Temperature) \Rightarrow Boyle's Temperature > Critical Temperture At critical point of Vanderval's Gas Theorem, {(\frac{\partial ρ}{\partial v_{m}})}_{T_{C}} A s \frac{T_{C}}{P_{C}} >>> 1; larger would be excluded volume \Rightarrow I and III are correct$

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Similar questions

Which of the following statements on critical constants of gases are correct?

I : Larger the $\frac{T_{c}}{P_{c}}$ value of a gas, larger would be the excluded volume.

II : Critical temperature ( $T_{c}$ ) of a gas is greater than its Boyle's temperature ( $T_{B}$ ).

III : At the critical point in the Van der Walls gas isotherm.

$⟮ \frac{d P}{d V_{m}} ⟯ T_{c} = 0$

T_{c}

[\frac{T_{C}}{P_{C}}]

[\frac{T_{C}}{P_{C}}]

{(\frac{d P}{d V})}_{T_{C}} = 0

{(\frac{d P}{d V})}_{T_{C}} = 0

T_{c}

a / {d m}^{6} k P a {m o l}^{- 2} b / {d m}^{3} {m o l}^{- 1}

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