Actual volume occupied by 1 mole of oxygen gas at STP = 22.4 lit = 22400
Molecular volume of oxygen gas, V = N,
where N = Avogadro's number = 6.023 molecules/mole
Therefore, V = 6.023 = 8.51
Ratio of the molecular volume to the actual volume of oxygen = = 3.8
<p><strong>13.1 </strong>Diameter of the oxygen molecule, d = 3Å</p><p>Radius, r = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mi>d</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></mfrac></math></span> = 1.5 Å = 1.5 <span title="Click to copy mathml"><math><mo>*</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>8</mn></mrow></mrow></msup></math></span> cm</p><p>Actual volume occupied by 1 mole of oxygen gas at STP = 22.4 lit = 22400 <span title="Click to copy mathml"><math><msup><mrow><mrow><mi>c</mi><mi>m</mi></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span></p><p>Molecular volume of oxygen gas, V = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>4</mn></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></mfrac><mi>? </mi><msup><mrow><mrow><mi>r</mi></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span> N, </p><p>where N = Avogadro's number = 6.023 <span title="Click to copy mathml"><math><mo>*</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>23</mn></mrow></mrow></msup></math></span> molecules/mole</p><p>Therefore, V = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>4</mn></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></mfrac></math></span> <span title="Click to copy mathml"><math><mo>*</mo><mn>3.1416</mn><mi></mi><mo>*</mo><mo> (</mo><msup><mrow><mrow><mn>1.5</mn><mi mathvariant="normal"></mi><mo>*</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>8</mn></mrow></mrow></msup><mo>)</mo></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span> <span title="Click to copy mathml"><math><mo>*</mo><mi></mi></math></span> 6.023 <span title="Click to copy mathml"><math><mo>*</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>23</mn></mrow></mrow></msup></math></span> = 8.51 <span title="Click to copy mathml"><math><msup><mrow><mrow><mi>c</mi><mi>m</mi></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span></p><p>Ratio of the molecular volume to the actual volume of oxygen = <span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>8.51</mn></mrow></mrow><mrow><mrow><mn>22400</mn></mrow></mrow></mfrac></math></span> = 3.8 <span title="Click to copy mathml"><math><mo>*</mo><mi></mi><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mo>-</mo><mn>4</mn></mrow></mrow></msup></math></span></p>
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