Automobile Air Bags Inflate During a Crash or Sudden Stop

question 159

Multiple Choice

Automobile air bags inflate during a crash or sudden stop by the rapid generation of nitrogen gas from sodium azide. 2NaN₃(s) 2Na(s) 3N₂(g)
How many moles of sodium azide are needed to produce sufficient nitrogen to fill a 50.0 L air bag to a pressure of 1.25 atm at 25°C?

• A)2.56 mol
• B)3.83 mol
• C)5.31 mol
• D)1.70 mol
• E)4.92 mol

---

Definitions:

Poisson Arrivals

A statistical distribution that models the number of events occurring in a fixed interval of time or space, assuming independence among arrivals.

FIFO Discipline

First In, First Out Discipline is a queue management principle where the first item or task to arrive is the first to be processed or completed.

Normal Curve

A bell-shaped curve that represents the distribution of many types of data where most of the occurrences take place around the average.

M/M/1 Model

is a type of queueing model used in operations research to describe systems with a single server, where arrivals are determined by a Poisson process and service times have an exponential distribution.