Another difficult problem...my brain is dead!
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Graham's Law:
r1 / r2 = √(MM2 / MM1)
The C4H8 effuses at a rate of 1.000 and gas X effuses at 0.507. We assign C4H8 to the r1 and MM1 combo. That puts gas X as r2 and MM2, putting its molecular weight in the numerator.
1.000 / 0.507 = √(x / 56.1072)
square both sides:
3.8903 = x / 56.1072
x = 218 g/mol (to three sig figs)
r1 / r2 = √(MM2 / MM1)
The C4H8 effuses at a rate of 1.000 and gas X effuses at 0.507. We assign C4H8 to the r1 and MM1 combo. That puts gas X as r2 and MM2, putting its molecular weight in the numerator.
1.000 / 0.507 = √(x / 56.1072)
square both sides:
3.8903 = x / 56.1072
x = 218 g/mol (to three sig figs)