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A sample of ethane has the same mass as ...

A sample of ethane has the same mass as 10.0 million molecules of methane. How many `C_2H_6` molecules does the sample contain?

Text Solution

Verified by Experts

Let the number of `C_2H_6` molecules in the sample be n. As given, mass of `C_2H_6` = mass of `10^7` molecules of `CH_4`
`n/("Av. Const") xx` mol wt. of `C_(2)H_(6) = 10^(7)/("Av. Const") xx` mol. Wt of `CH_(4)`
`(n xx 30)/("av. Const") = (10^(7) xx 16)/("Av. const")`
`therefore n = 5.34 xx 10^(6)`
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