Living by Chemistry
Living by Chemistry
2nd Edition
ISBN: 9781464142314
Author: Angelica M. Stacy
Publisher: W. H. Freeman
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Chapter U3.61, Problem 7E

(a)

Interpretation Introduction

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 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.

(a)

Expert Solution
Check Mark

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:

  T1=25 oC+273.15=298.15 KT2=0.5 oC+273.15=272.65 K

The new volume of the air bag can be calculated using the combined gas law as follows:

  V2=P1V1T2P2T1

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,

  V2=(1.0 atm)(65 L)(272.65 K)(0.8 atm)(298.15 K)=74.3 L

Thus, the new volume is 74.3 L.

(b)

Interpretation Introduction

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)

Expert Solution
Check Mark

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:

  P1V1T1=P2V2T2

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.

Chapter U3 Solutions

Living by Chemistry

Ch. U3.50 - Prob. 4ECh. U3.50 - Prob. 5ECh. U3.50 - Prob. 6ECh. U3.50 - Prob. 7ECh. U3.51 - Prob. 1TAICh. U3.51 - Prob. 1ECh. U3.51 - Prob. 2ECh. U3.51 - Prob. 3ECh. U3.51 - Prob. 4ECh. U3.51 - Prob. 5ECh. U3.51 - Prob. 6ECh. U3.51 - Prob. 7ECh. U3.51 - Prob. 8ECh. U3.51 - Prob. 9ECh. U3.52 - Prob. 1TAICh. U3.52 - Prob. 1ECh. U3.52 - Prob. 2ECh. U3.52 - Prob. 3ECh. U3.52 - Prob. 4ECh. U3.52 - Prob. 5ECh. U3.52 - Prob. 6ECh. U3.52 - Prob. 7ECh. U3.52 - Prob. 8ECh. U3.52 - Prob. 9ECh. U3.53 - Prob. 1TAICh. U3.53 - Prob. 1ECh. U3.53 - Prob. 2ECh. U3.53 - Prob. 3ECh. U3.53 - Prob. 4ECh. U3.53 - Prob. 5ECh. U3.53 - Prob. 6ECh. U3.53 - Prob. 7ECh. U3.53 - Prob. 8ECh. U3.53 - Prob. 9ECh. U3.53 - Prob. 10ECh. U3.53 - Prob. 11ECh. U3.53 - Prob. 12ECh. U3.54 - Prob. 1TAICh. U3.54 - Prob. 1ECh. U3.54 - Prob. 2ECh. U3.54 - Prob. 3ECh. U3.54 - Prob. 4ECh. U3.54 - Prob. 5ECh. U3.54 - Prob. 6ECh. U3.54 - Prob. 7ECh. U3.54 - Prob. 8ECh. U3.55 - Prob. 1TAICh. U3.55 - Prob. 1ECh. U3.55 - Prob. 2ECh. U3.55 - Prob. 3ECh. U3.55 - Prob. 4ECh. U3.55 - Prob. 5ECh. U3.55 - Prob. 6ECh. U3.56 - Prob. 1TAICh. U3.56 - Prob. 1ECh. U3.56 - Prob. 2ECh. U3.56 - Prob. 3ECh. U3.56 - Prob. 4ECh. U3.56 - Prob. 5ECh. U3.56 - Prob. 6ECh. U3.56 - Prob. 7ECh. U3.56 - Prob. 8ECh. U3.56 - Prob. 9ECh. U3.56 - Prob. 10ECh. U3.57 - Prob. 1TAICh. U3.57 - Prob. 1ECh. U3.57 - Prob. 2ECh. U3.57 - Prob. 3ECh. U3.57 - Prob. 4ECh. U3.57 - Prob. 5ECh. U3.57 - Prob. 6ECh. U3.57 - Prob. 7ECh. U3.57 - Prob. 8ECh. U3.57 - Prob. 10ECh. U3.58 - Prob. 1TAICh. U3.58 - Prob. 1ECh. U3.58 - Prob. 2ECh. U3.58 - Prob. 4ECh. U3.58 - Prob. 5ECh. U3.58 - Prob. 6ECh. U3.58 - Prob. 7ECh. U3.59 - Prob. 1TAICh. U3.59 - Prob. 1ECh. U3.59 - Prob. 2ECh. U3.59 - Prob. 3ECh. U3.59 - Prob. 4ECh. U3.59 - Prob. 5ECh. U3.60 - Prob. 1TAICh. U3.60 - Prob. 1ECh. U3.60 - Prob. 2ECh. U3.60 - Prob. 3ECh. U3.60 - Prob. 4ECh. U3.60 - Prob. 5ECh. U3.60 - Prob. 6ECh. U3.60 - Prob. 7ECh. U3.60 - Prob. 8ECh. U3.61 - Prob. 1TAICh. U3.61 - Prob. 1ECh. U3.61 - Prob. 2ECh. U3.61 - Prob. 3ECh. U3.61 - Prob. 4ECh. U3.61 - Prob. 5ECh. U3.61 - Prob. 6ECh. U3.61 - Prob. 7ECh. U3.62 - Prob. 1TAICh. U3.62 - Prob. 1ECh. U3.62 - Prob. 2ECh. U3.63 - Prob. 1TAICh. U3.63 - Prob. 1ECh. U3.63 - Prob. 2ECh. U3.63 - Prob. 3ECh. U3.63 - Prob. 4ECh. U3.63 - Prob. 5ECh. U3.63 - Prob. 6ECh. U3.63 - Prob. 7ECh. U3.63 - Prob. 8ECh. U3.64 - Prob. 1TAICh. U3.64 - Prob. 1ECh. U3.64 - Prob. 2ECh. U3.64 - Prob. 3ECh. U3.64 - Prob. 4ECh. U3.64 - Prob. 5ECh. U3.64 - Prob. 6ECh. U3.64 - Prob. 7ECh. U3.65 - Prob. 1TAICh. U3.65 - Prob. 1ECh. U3.65 - Prob. 2ECh. U3.65 - Prob. 3ECh. U3.65 - Prob. 4ECh. U3.65 - Prob. 5ECh. U3.65 - Prob. 6ECh. U3.65 - Prob. 7ECh. U3.65 - Prob. 8ECh. U3.66 - Prob. 1TAICh. U3.66 - Prob. 1ECh. U3.66 - Prob. 2ECh. U3.66 - Prob. 3ECh. U3.66 - Prob. 4ECh. U3.66 - Prob. 5ECh. U3.66 - Prob. 6ECh. U3.66 - Prob. 7ECh. U3.66 - Prob. 8ECh. U3.66 - Prob. 9ECh. U3.66 - Prob. 10ECh. U3.66 - Prob. 11ECh. U3.66 - Prob. 12ECh. U3.67 - Prob. 1TAICh. U3.67 - Prob. 1ECh. U3.67 - Prob. 2ECh. U3.67 - Prob. 4ECh. U3 - Prob. C10.1RECh. U3 - Prob. C10.2RECh. U3 - Prob. C10.3RECh. U3 - Prob. C10.4RECh. U3 - Prob. C10.5RECh. U3 - Prob. C11.1RECh. U3 - Prob. C11.2RECh. U3 - Prob. C11.3RECh. U3 - Prob. C11.4RECh. U3 - Prob. C11.5RECh. U3 - Prob. C12.1RECh. U3 - Prob. C12.2RECh. U3 - Prob. C12.3RECh. U3 - Prob. C12.4RECh. U3 - Prob. C12.5RECh. U3 - Prob. 1RECh. U3 - Prob. 2RECh. U3 - Prob. 3RECh. U3 - Prob. 4RECh. U3 - Prob. 5RECh. U3 - Prob. 6RECh. U3 - Prob. 7RECh. U3 - Prob. 8RECh. U3 - Prob. 9RECh. U3 - Prob. 10RECh. U3 - Prob. 11RECh. U3 - Prob. 12RECh. U3 - Prob. 13RECh. U3 - Prob. 1STPCh. U3 - Prob. 2STPCh. U3 - Prob. 3STPCh. U3 - Prob. 4STPCh. U3 - Prob. 5STPCh. U3 - Prob. 6STPCh. U3 - Prob. 7STPCh. U3 - Prob. 8STPCh. U3 - Prob. 9STPCh. U3 - Prob. 10STPCh. U3 - Prob. 11STPCh. U3 - Prob. 12STPCh. U3 - Prob. 13STPCh. U3 - Prob. 14STPCh. U3 - Prob. 15STPCh. U3 - Prob. 16STPCh. U3 - Prob. 17STPCh. U3 - Prob. 18STPCh. U3 - Prob. 19STPCh. U3 - Prob. 20STP
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