`P` and `Q` are two element that form `P_(2) Q_(3)` and `PQ_(2)`. If 0.15 mole of `P_(2) Q_(3)` weighs 15.9 g and 0.15 mole of `PQ_(2)` weighs `9.3 g`, what are the atomic weights of `P` and `Q`?

Explanation

To find the atomic weights of elements \( P \) and \( Q \) from the compounds \( P_2Q_3 \) and \( PQ_2 \), we can follow these steps:

### Step 1: Determine the molecular weight of \( P_2Q_3 \)

We know that:
- The number of moles \( n \) is given by the formula:
\[
n = \frac{\text{mass}}{\text{molecular weight}}
...