How Does Changing Pressure and Temperature Affect Gas Volume?

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SUMMARY

The discussion focuses on calculating the volume of an oxygen sample when subjected to different pressure and temperature conditions using the Ideal Gas Law and the Combined Gas Law. The initial conditions are 1.62 L at 92.3 kPa and 30.0 degrees Celsius. The calculations reveal that under 120.0 kPa and 0.0 degrees Celsius, the volume should be approximately 11.3 L, but a participant suggests a volume of 1.13 L using the Combined Gas Law. The discrepancy highlights the importance of careful calculation and understanding of gas behavior under changing conditions.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV = nRT)
  • Familiarity with the Combined Gas Law (P1V1/T1 = P2V2/T2)
  • Basic knowledge of pressure and temperature conversions
  • Ability to perform unit conversions (e.g., Celsius to Kelvin, kPa to atm)
NEXT STEPS
  • Study the Ideal Gas Law and its applications in real-world scenarios
  • Learn about the Combined Gas Law and its derivations
  • Explore the effects of temperature and pressure on gas volume in various conditions
  • Practice solving gas law problems with different units and conditions
USEFUL FOR

Chemistry students, educators, and anyone interested in understanding gas behavior under varying pressure and temperature conditions.

cheechnchong
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Problem: An oxygen sample of 1.62 L is at 92.3 kPa and 30.0 degrees celsius.

(a) What volume would the oxygen occupy if the pressure was 120.0 kPa and the temperature was 0.0 degrees celsius.

(b) How many moles of oxygen are in the sample?

My Approach:

Conversions: 0 degrees celsius = 273k
30 degrees celsius = 303k
92.3 kPa = .911 atm
120.0 kPa = 1.18 atm

(a) PV = nRT
(.911 atm) (1.62 L) = n (.08206 l*atm/mol*k) (303k) --- finding n from given information

n = 0.0594 mol

then, i plug that n into

PV= nRT ---using second set of given information
(1.18 atm) V2 = (0.0594 mol) (.08206 l*atm/mol*k) (273k)

V2 = 11.3 L

(b) 0.0594 mol O2 ( this was figured earlier)


Anyways, I'd like someone to check my work here! THANKS!
 
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Maybe I'm wrong, but I'd check your last step (multiplication & division) just before determining V2. Think you might be off by a factor of 10.

I used the combined gas law:

P1V1/T1 = P2V2/T2 and ended up with 1.13L

Also, from the original conditions, isn't the P increasing and the T decreasing. Shouldn't that lead to a decrease in volume from the original 1.62L?

Hope I am right here. Like I said in an earlier message - I haven't taken a chemistry course in over 3 decades.

Best of luck.

Steve
 
Smith4046 said:
Maybe I'm wrong, but I'd check your last step (multiplication & division) just before determining V2. Think you might be off by a factor of 10.

I used the combined gas law:

P1V1/T1 = P2V2/T2 and ended up with 1.13L

Also, from the original conditions, isn't the P increasing and the T decreasing. Shouldn't that lead to a decrease in volume from the original 1.62L?

Hope I am right here. Like I said in an earlier message - I haven't taken a chemistry course in over 3 decades.

Best of luck.

Steve

hey good look...errrrrr my calculator skills are horrible LOL big thanks!
 

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