Automotive air bags are inflated when a sample of sodium azide $(NaN_{3})$ is very rapidly decomposed to sodium and dinitrogen gas, then what mass of sodium azide is required to produce 368 litre of $N_{2} (g)$ with density 1.12 $g / L$ ?
[Given atomic mass : Na = 23]

Question

Automotive air bags are inflated when a sample of sodium azide $(NaN_{3})$ is very rapidly decomposed to sodium and dinitrogen gas, then what mass of sodium azide is required to produce 368 litre of $N_{2} (g)$ with density 1.12 $g / L$ ?

[Given atomic mass : Na = 23]

TestHub · Accepted Answer

2 NaN 3 ​ → 2 Na + 3 N 2 ​ 1.12 m n N 2 ​ ​ n NaN 3 ​ ​ wt NaN 3 ​ ​ ​ = 368 m ​ = 368 × 1.12 = 28 368 × 1.12 ​ = 14.72 = 9.81 = 637.8 g ​

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JEE Advanced (2027)