Hydroxylamine nitrate contains 29.17 mass % N, 4.20 mass % H, and 66.63 mass O. If its molar mass is between 94 and 98 g/mol, what is its molecular formula

The molecular formula is N2H4O4.

Explanation:

Assume 100 g of this compound  

mass N = 29.17 g

mass H = 4.20 g

mass O = 66.63 g  

moles N = 29.17 g/ 14.0067 g/mol = 2.083

moles H = 4.20 g/ 1.008 g/mol = 4.16

moles O = 66.63 g/ 15.999 g/mol = 4.16

The smallest number is divided to get the ratio as N:H:O

                -----> H and O

                  -----> N  

the empirical formula is calculated as NH2O2 ( molar mass = 48.03 g/mol)

96.04 / 48.03 = 2

By  multiplying the empirical formula by 2, we get

The molecular formula is N2H4O4.

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