If the weight of an oxide of nitrogen is 108g and 4.02g of nitrogen combine with 11.48g of oxygen to form it, what is the molecular formula of the compound

Respuesta :

Answer:

Molecular formula is N₄O₁₀

Explanation:

We are given;

  • Mass of the oxide of nitrogen as 108 g
  • Mass of nitrogen as 4.02 g
  • Mass of Oxygen is 11.48 g

We are required to calculate the molecular formula of the compound.

Step 1: Determine the number of moles of Nitrogen and Oxygen

Atomic mass of Nitrogen as 14.0 g/mol

Moles = Mass ÷ Atomic mass

Therefore;

Moles of Nitrogen = 4.02 g ÷ 14.0 g/mol

                             = 0.287 moles

Moles of Oxygen

Atomic mass of oxygen as 16.0 g/mol

Moles of Oxygen = 11.48 g ÷ 16.0 g/mol

                            = 0.7175 moles

Step 2: Determine the simplest whole number mole ratio

The mole ratio of N : O will be;

O.287 moles : 0.7175 moles

                 1 : 2.5

Multiplying by 2 , we get

                2 : 5

Therefore, the empirical formula of the nitrogen oxide is N₂O₅

Step 3: Determine the molecular formula of nitrogen oxide

Molecular formula = (empirical formula)n

Mass = 108 g

(N₂O₅)n = 108 g

((14×2) + (16 ×2))n = 108

        60n = 108

             n = 1.8

                = 2

Thus, Molecular formula = (N₂O₅)2

                                        = N₄O₁₀

Therefore, the molecular formula is N₄O₁₀

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