Answer:

To determine the atomic weight of Y, we need to analyze the composition of the compound and the given information about the percentage of X by weight.

Given:
- Compound is composed of X2Y3 molecules
- Compound consists of 60% of X by weight

Let's assume the atomic weight of X as "a" and the atomic weight of Y as "b".

Step 1: Determine the molecular weight of the compound
The molecular weight of the compound can be calculated by adding the atomic weights of X and Y according to their stoichiometric ratio.

Molecular weight of the compound = (2 * atomic weight of X) + (3 * atomic weight of Y)

Step 2: Calculate the weight of X in the compound
Since the compound consists of 60% of X by weight, the weight of X can be calculated as:
Weight of X = 0.60 * molecular weight of the compound

Step 3: Express the weight of Y in terms of X
The weight of Y can be expressed in terms of X using the given stoichiometric ratio:
Weight of Y = (3/2) * weight of X

Step 4: Express the atomic weight of Y in terms of X
The atomic weight of Y can be calculated by dividing the weight of Y by the number of Y atoms in the compound:
Atomic weight of Y = (Weight of Y) / (3 * number of Y atoms)

Step 5: Substitute the expressions and solve for the atomic weight of Y
Substituting the expressions from step 2 and step 3 into step 4:
Atomic weight of Y = ((3/2) * weight of X) / (3 * number of Y atoms)

Simplifying the expression:
Atomic weight of Y = (1/2) * (weight of X) / (number of Y atoms)

Conclusion:
From the above calculation, we can see that the atomic weight of Y is directly proportional to the weight of X and inversely proportional to the number of Y atoms. Therefore, we cannot determine a specific value for the atomic weight of Y based solely on the given information. Thus, neither option A) (44% of the atomic weight of X) nor option B) (4 times the atomic weight of X) can be concluded from the information provided.