A polystyrene, having the formula `Br_(3)C_(6)H_(3)(C_(3)H_(8))_(n)`, was prepared by heating styrene with tribromobenzoyl peroxide in the absence of air. If it was found to contain 10.46% bromine by weight, find the value of n.

Explanation

To find the value of \( n \) in the formula \( \text{Br}_3\text{C}_6\text{H}_3(\text{C}_3\text{H}_8)_n \) given that the compound contains 10.46% bromine by weight, we can follow these steps:

### Step 1: Calculate the molar mass of the compound
The molar mass of the compound can be expressed as:
\[ \text{Molar mass} = \text{Molar mass of } \text{Br}_3 + \text{Molar mass of } \text{C}_6\text{H}_3 + n \times \text{Molar mass of } \text{C}_3\text{H}_8 \]

...