The ideal gas equation
Question:

The simple gas laws describe the relationships involving the pressure, volume, temperature, and amount of an ideal gas.

• Boyle’s law states that for a fixed amount of gas at a constant temperature, the gas volume is inversely proportional to the gas pressure. $V\propto \frac{1}{p}$
• Avogadro’s law states that the volume of a gas is proportional to the amount of the gas (at constant temperature and pressure. $V\propto n$
• Charles law (also called Charles-Gay Lussac’s law) states that the volume of a fixed amount of gas at constant pressure is directly proportional to its temperature (in Kelvin).$V\propto T$

The combination of these three laws is: $V\propto \frac{nT}{P}$

This law can be rearranged to:$PV\propto nT$

The proportional relationship can be written as equation: $PV = nRT$ , where R is a proportional constant termed the gas constant.  The value of R (in SI unit) is:

$R = 8.3145Jmol^{-1}K^{-1}$

One well known characteristic of gases in that the expand to fill their containers and assume the shape of their containers.  A practical application of these characteristics is the reaction that forms N2(g)  in an automobile air-bag safety system. This reaction utilizes the rapid decomposition of sodium azide.

$2NaN_{3}(s)\overset{\Delta }{\rightarrow}2Na(1) + 3N_{2}(g)$

Simulation

Here is a simulation that simulates gas behavior:

The essential components of the system are an ignition device and a pellet containing sodium azide.  When activated, the system inflates and air bag in a very short time (milliseconds range).  Note: the liquid sodium is converted to harmless solid sodium due to special additives that are also present initially.

Picture credit:

http://auto.howstuffworks.com/car-driving-safety/safety-regulatory-devices/airbag1.htm

Question:

Which statement regarding the above chemical reaction is true:

2 People tried to answer this question

 The volume of the inflated bag is 1.5 times larger than the volume of the uninflated one, since the mole ratio between N2and NaN3is 3/2.
 The pressure of the inflated bag is determined by the amount of sodium azide initially present.
 The pressure of the inflated bag is 1.5 times larger than the volume of the uninflated one, since the mole ratiobetween N2and NaN3is 3/2.
 The temperature of the inflated bag is determined by the amount of sodium azide initially present.

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