1. Convert the given masses to moles:
Moles of nitrogen = 26.19 g / 28.01 g/mol = 0.935 mol
Moles of hydrogen = 7.55 g / 1.008 g/mol = 7.49 mol
Moles of chlorine = 66.26 g / 35.45 g/mol = 1.87 mol
2. Divide each number of moles by the smallest number of moles to get the simplest whole-number ratio:
0.935 mol / 0.935 mol = 1
7.49 mol / 0.935 mol ≈ 8
1.87 mol / 0.935 mol ≈ 2
3. The simplest whole-number ratio is approximately 1:8:2.
4. Multiply the subscripts of the elements by an appropriate factor to obtain whole numbers. In this case, we can multiply all subscripts by 2 to get:
2(1) = 2
2(8) = 16
2(2) = 4
Therefore, the empirical formula for the compound is NH4Cl2.