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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 }

 
Answers (1)
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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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