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Com in Perfectly Inelastic Collision

Question

Which of the following is/are correct for a gas obeying Van der Waals equation?

A

A gas having negligible size and reasonable intermolecular force follows

(P + \frac{a}{V_{m}^{2}}) (V_{m}) = R T

B

A gas having negligible intermolecular force and reasonable size follows:

Z = 1 - \frac{P b}{R T}

C

A gas having negligible size and negligible intermolecular force follows:

P V_{m} = R T

D

At boyle's temperature, gas follows

P V_{m} = R T

at all pressure

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Solution

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The correct options are
A A gas having negligible size and reasonable intermolecular force follows $(P + \frac{a}{V_{m}^{2}}) (V_{m}) = R T$
C A gas having negligible size and negligible intermolecular force follows: $P V_{m} = R T$
The equation of state for a gas having negligible volume and reasonable intermolecular forces is $(P + \frac{a}{V^{2} m}) (V_{m}) = R T .$ .
The equation of state for a gas having negligible volume and negligible intermolecular forces is $P V_{m} = R T$ .
The second equation can be obtained from first equation by substituting $a = 0$ .
The first equation can be obtained from Van der Waals equation of state $(p + \frac{a}{V_{m}^{2}}) (V_{m} - b) = R t$ by substituting $b = 0$ .

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