Final answer:
To find the mass of Y that forms when 12.0 grams of X decompose from compound XY with an X-to-Y mass ratio of 4.0, we divide the mass of X by the ratio, resulting in 3.0 grams of Y.
Step-by-step explanation:
If an unknown compound XY has an X-to-Y mass ratio of 4.0, and the decomposition of compound XY gives 12.0 grams of X, then we can determine the mass of Y that must form based on this ratio. Since X/Y = 4, for every 4 grams of X, there must be 1 gram of Y.
To find the mass of Y when 12 grams of X are produced, we divide the mass of X by the given ratio:
- Mass of Y = (Mass of X) / (X/Y mass ratio)
- Mass of Y = 12.0 grams / 4
- Mass of Y = 3.0 grams
Therefore, 3.0 grams of Y would form.