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# Help me understand! The critical density of the gas CO2 is 0.44 g cm–3 at a certain temperature. If r is the radius of the molecule, r3 in cm3 is approximately. (N is Avogadro number)

The critical density of the gas CO2 is 0.44 g cm–3 at a certain temperature. If r is the radius of the molecule, r3 in cm3 is approximately. (N is Avogadro number)

• Option 1)

$\frac{25}{N\pi }$

• Option 2)

$\frac{100}{N\pi }$

• Option 3)

$\frac{6}{N\pi }$

• Option 4)

$\frac{25}{4N\pi }$

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As we learnt in

Critical Volume -

volume of gas-liquid equilibrium at critical pressure and temperature

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$V_{c}= 3\times N\times \frac{4}{3}\pi r^{3}\times 0.44$

Option 1)

$\frac{25}{N\pi }$

Incorrect

Option 2)

$\frac{100}{N\pi }$

Incorrect

Option 3)

$\frac{6}{N\pi }$

Incorrect

Option 4)

$\frac{25}{4N\pi }$

Correct

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