Automotive air bags inflate when sodium azide decomposes explosively to its constituent elements:
2 NaN3(s) → 2 Na(s) + 3 N2(g)
How many moles of N2 are produced by the decomposition of 1.25 mol of sodium azide?

1.875 moles

Explanation:

2 NaN3(s) → 2 Na(s) + 3 N2(g)

From the equation above, Sodium azide has a chemical formula of NaN3 while nitrogen gas has a chemical formula of N2.

Therefore, If on decomposition

2 moles of NaN3 produce 3 moles of N2

1.25 mol of NaN3 produce Z moles of N2

To get the value of Z, cross multiply

Z x 2 moles = 3 moles x 1.25 moles

2 moles•Z = 3.75 moles²

Divide both sides by 2 moles

2 moles•Z/2 moles = 3.75 moles²/2 moles

Z = 1.875 moles

Thus, 1.875 moles of N2 are produced by the decomposition of 1.25 mol of sodium azide

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