How Does Changing Pressure and Temperature Affect Gas Volume?

AI Thread Summary
The discussion revolves around calculating the volume of an oxygen sample under 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, with a conversion to moles yielding 0.0594 mol of oxygen. One participant calculated a new volume of 11.3 L at 120.0 kPa and 0.0 degrees Celsius, while another used the combined gas law and found a volume of 1.13 L, suggesting a decrease due to increased pressure and decreased temperature. There is a consensus that the calculations may have errors, particularly in multiplication and division, prompting a request for verification. The conversation highlights the importance of careful calculation in gas law problems.
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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