Living by Chemistry
Living by Chemistry
2nd Edition
ISBN: 9781464142314
Author: Angelica M. Stacy
Publisher: W. H. Freeman
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Chapter U3, Problem 14STP
Interpretation Introduction

Interpretation:

The final pressure of a 8.5 L scuba tank as it is cooled from an initial temperature of 26 oC and pressure of 150 atm to temperature of 15 oC needs to be calculated.

Concept introduction:

The relation between Temperature (T) and pressure (P) of a gas under constant volume is represented through Gay-Lussac's Law.

As per Gay-Lussac’s law, pressure is directly related to temperature: P α T    i.e.  P = k×Twhere 'k' is the proportionality constant(or) P1T1 = P2T2(1)where P1 and P2 are the initial and final pressuresT1 and T2 are the initial and final temperature

Expert Solution & Answer
Check Mark

Answer to Problem 14STP

(C) 140 atm

Explanation of Solution

Given:

Initial temperature, T1=26° C

Final temperature, T2 = 15°C

Initial pressure, P1 = 150 atm

Calculation:

Let P2 represent the final pressure of the tank:

Based on equation (1):

P1T1 = P2T2

P2=P1T1×T2 =150 atm(26+273)K×(15+273)K = 144 atm

This is close to option (c).

Conclusion

The pressure of the tank at a final temperature of 15 oC is around 140 atm.

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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