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A mixture of SO_(2) and O_(2) in the molar ratio 16:1 is diffused through a pin hole for successive effusion three times to give a molar ratio 1:1 of diffused mixture. Which one are not correct if diffusion is made at same P and T in each operation? (I) Eight operation are needed to get 1:1 molar ratio. (II) Rate of diffusion for SO_(2):O_(3) after eight operations in 0.707. (III) Six operations are needed to get 2:1 molar ratio for SO_(2) and O_(2) in diffusion mixture. (IV) Rate of diffusion for SO_(2) and O_(2) after six operations is 2.41.

Answer» <html><body><p>`I`, `II`, `<a href="https://interviewquestions.tuteehub.com/tag/iii-497983" style="font-weight:bold;" target="_blank" title="Click to know more about III">III</a>`<br/>`II`, `III`<br/>`I`, `III`<br/>`IV`<br/></p>Solution :`(f_(1))^(X)=(n'_(SO_(2)))/(n'_(O_(2)))xx(n_(O_(2)))/(n_(SO_(2)))`, where `n_(SO_(2))` and `n_(O_(2))` are moles present initially. <br/> or `XlogF_(1)=log[(n'_(SO_(2)))/(n'_(O_(2)))xx(n_(O_(2)))/(n_(SO_(2)))]` <br/> `:. Xlogsqrt((M_(O_(2)))/(M_(SO_(2))))=log[(n'_(SO_(2)))/(n'_(O_(2)))xx(n_(O_(2)))/(n_(SO_(2)))]` <br/> `X logsqrt((<a href="https://interviewquestions.tuteehub.com/tag/32-307188" style="font-weight:bold;" target="_blank" title="Click to know more about 32">32</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/64-330663" style="font-weight:bold;" target="_blank" title="Click to know more about 64">64</a>))=log(1)/(1)xx(1)/(16)` <br/> `:. X=8`, also `(n_(1))/(n_(2))=(r_(1))/(r_(2))=sqrt((32)/(64))=0.707` <br/> If `X=6`, then `6 log sqrt((32))/(64))=log[(n'_(SO_(2)))/(n'_(O_(2)))xx(n_(O_(2)))/(n_(SO_(2)))]` <br/> `=log[(n'_(SO_(2)))/(n'_(O_(2)))xx(1)/(16)]` <br/> `(n'_(SO_(2)))/(n'_(O_(2)))=2:1` <br/> <a href="https://interviewquestions.tuteehub.com/tag/rate-1177476" style="font-weight:bold;" target="_blank" title="Click to know more about RATE">RATE</a> of diffusion is `(r_(1))/(r_(2))=sqrt((M_(2))/(M_(1)))`, i.e., `0.707` in each <a href="https://interviewquestions.tuteehub.com/tag/operation-1136889" style="font-weight:bold;" target="_blank" title="Click to know more about OPERATION">OPERATION</a>.</body></html>


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