Mass of chromium = 17.82% of 1 gram = 0.1782 grams

Mass of bromine in the first sample:

Mass of bromine = 1 gram - 0.1782 grams = 0.8218 grams

Ratio of chromium to bromine in the first sample:

Cr:Br = 0.1782 grams : 0.8218 grams = 1 : 4.6

Empirical formula of the first bromide:

The empirical formula is CrBr4.6.

Second bromide:

Mass of chromium = 24.55% of 1 gram = 0.2455 grams

Mass of bromine = 1 gram - 0.2455 grams = 0.7545 grams

Ratio of chromium to bromine in the second sample:

Cr:Br = 0.2455 grams : 0.7545 grams = 1 : 3.1

Empirical formula of the second bromide:

The empirical formula is CrBr3.1.

Conclusion:

The two chromium bromides have different empirical formulas, indicating that they are different compounds.