J.R. S. answered 09/24/21
Ph.D. University Professor with 10+ years Tutoring Experience
Law of Multiple Proportions:
For X2Y3 we have 38.30 g X / 24.2 g Y = 1.58 g X / g Y
For XaYb we have 64.60 g X / 54.42 g Y = 1.19 g X / g Y
1.58 / 1.19 = 1.33 and to get this to whole number ratio it would be 4/3
Ratio of X in the two compounds is 1:1 and ratio of Y in the two compounds is 4:3
This gives us X2Y4 or...
Empirical formula would thus be XY2 so I agree with your answer

J.R. S.
09/25/21
Lina L.
Thank you so much!09/25/21