Step-by-step explanation:
To find the empirical formula of the compound, we need to determine the simplest whole-number ratio of the atoms in the compound.
First, we need to find the number of moles of Ag, N, and O relative to each other. The smallest number of moles is used as a reference point, and the other moles are divided by this value to get their ratios:
0.58 mol Ag : 0.58 mol N : 1.79 mol O
Dividing each mole value by 0.58 mol (the smallest number of moles), we get:
1 mol Ag : 1 mol N : 3.09 mol O
We can see that the ratio of Ag:N:O is 1:1:3.09. However, we need to express the ratio in whole numbers, so we divide each number by the smallest number in the set of ratios:
1 : 1 : 3.09/1.00 ≈ 3.
Rounding to the nearest whole number, we get the empirical formula of the compound:
AgN3O3
Therefore, the empirical formula of the compound is AgN3O3.