To what volume must a litre of oxygen be expanded if the moliculesper unit volume is \( 12.0 \times 10^{11} \mathrm{~cm}^{-3} \) ? Diameter of the oxygen molicule=3A \( A^{\circ} \) . Assume that the gas starts at STP. \( \left(\mathbf{R}=8.3 \times 10^{7}\right. \) dynes. \( \left.\mathbf{c m} . \mathbf{m o l e}^{-1} \mathbf{k}^{-1} N_{0}=6.02 \times 10^{23} \mathbf{m o l e}^{-1}\right) \)

A \( 22.41 × 10^{10} c m^{3} \)

B \( 2.241 × 10^{10} c m^{3} \)

C \( 2.241 × 10^{10} m^{3} \)

D None of these

Solution

Correct Answer: Option B

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