
Concept explainers
(a)
Interpretation: The size of the air bag needs to be determined at temperature -5 oC and pressure 0.8 atm.
Concept Introduction: The combined gas law is combination of three
(a)

Explanation of Solution
The airbag is designed to inflate to 65 L if accident happens at temperature and air pressure 25 oC and 1.0 atm respectively. These given values will be initial volume, temperature and pressure.
The new temperature and pressure is -5 oC and 0.8 atm respectively.
The temperature in K can be calculated as follows:
The new volume of the air bag can be calculated using the combined gas law as follows:
Here, P1, V1, T1, P2, V2 and T2 is initial pressure, initial volume, initial temperature, final pressure, final volume and final temperature respectively.
Putting the values,
Thus, the new volume is 74.3 L.
(b)
Interpretation: The change in the temperature and air pressure in the location where airbag inflates to 60 L needs to be explained.
Concept Introduction: The combined gas law is combination of three gas laws that is Boyle’s law, Charles’ law and Gay-Lussac’s law. According to this law the ratio of temperature to the product of pressure and volume is a constant.
(b)

Explanation of Solution
Now, if volume changes to 60 L, the temperature and air pressure also changes.
According to combine gas law, the relation is as follows:
If volume decreases, since pressure and volume are inversely proportional pressure will increase also, temperature tends to decrease as it is directly proportional to the volume.
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