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Liquefaction of Gases and Critical Constants

The value of ...

Question

The value of critical temperature $T_{C}$ for a gas is :

Dependent only on Van der Waals constant 'a'.

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Dependent only on Van der Waals constant 'b'.

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Dependent on both Van der Waals constants 'a' and 'b'.

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Independent of both Van der Waals constants 'a' and 'b'.

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Solution

The correct option is C
Dependent on both Van der Waals constants 'a' and 'b'.

Critical Temperature ( $T_{C}) = \frac{8 a}{27 R b}$

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T_{c}

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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.

$⟮ \frac{d P}{d V_{m}} ⟯ T_{c} = 0$

I :

T_{c} / p_{c}

I I :

(T_{c})

(T_{b})

I I I :

(\frac{δ p}{δ V_{m}}) T_{c} = 0

(P_{c})

(T_{c})

O_{2}, C l_{2}, H_{2}

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