Methane gas, ch4, effuses through a barrier at a rate of 0.487 ml/minute. if an unknown gas effuses through the same barrier at a rate of 0.294 ml/minute, the molar mass of the gas is 5.83g
Rate of a gas depends upon the molar mass of the given gas molecules in the inverse proportion of its square root.
It is related as mentioned below:
Given,
Rate of Methane= 0.487
Rate of unknown gas =0.294
Molar mass of Methane = 16g
On substituting the given value in the formula:
Rate of Methane / Rate of unknown gas
= [tex]\sqrt{Molar mass of Methane/ Molar Mass of unknown gas}[/tex]
0.487/0.294 = [tex]\sqrt{Molar mass of Methane/ Molar Mass of unknown gas}[/tex]
Molar mass of unknown gas = 5.83g
Hence, the Molar mass of unknown gas is 5.83g.
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