A sample of O2 gas is observed to effuse through a pourous barrier in 2.30 minut

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A sample of O2 gas is observed to effuse through a pourous barrier in 2.30minutes. Under the same conditions, the same number of moles of an unknown gas requires 3.34 minutes to effuse through the same barrier. The molar mass of the unknown gas is  g/mol.

Jun 2nd, 2015

Thank you for the opportunity to help you with your question!

Ta/Tb =sqrt (molar mass of B / Molar mass of a)

Ta  is time taken by oxygen.

so  2.30/3.34 = sqrt (  Mb/32)

0.4742 = mb/32

mb = 0.4742 x 32

mb = 15.17 g/mol

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 2nd, 2015

sorry their is some corrections

Jun 2nd, 2015

According to grams law, Time gas A over Time gas B = Sq. root molec wt. A over sq. root molec wt. B 

Time of gas A = 2.30

Time of gas B = 3.34

so 2.30/3.34 = sqrt 32/ sqrt molar mass B

0.68862 =  5.65685/ sqrt B

0.68862 x sqrt B = 5.65685

sqrt B = 5.65685/0.68862

sqrt B = 8.21476

B =  67.48 grams per mole


Jun 2nd, 2015

Thanks for your patience and sorry for the correction.


Jun 2nd, 2015

Hope you have noted the change.

Jun 2nd, 2015

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