Answer:
The empirical formula of the compound is [tex]CrBr_2[/tex].
Explanation:
Mass of chromium = 19.13 g
Mass metal bromide formed = 77.92 g
Mass of bromine in metal bromide = 77.92 g - 19.13 g = 58.79 g
Moles of chromium metal :
[tex]=\frac{19.13 g}{52 g/mol}=0.3679 mol[/tex]
Moles of bromine:
[tex]=\frac{58.79 g}{80 g/mol}=0.7349 mol[/tex]
For empirical formula divide the smallest number of moles of element from the all the moles of elements:
chromium : [tex]\frac{0.3679 mol}{0.3679}=1[/tex]
bromine : [tex]\frac{0.7349 mol}{0.3679}=2[/tex]
The empirical formula of the compound is [tex]CrBr_2[/tex].