Gas Compression Temperature Change

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Homework Help Overview

The problem involves the relationship between pressure, volume, and temperature of a gas during compression, specifically examining how the temperature changes when a gas is compressed from an initial state to a final state with significantly increased pressure and reduced volume.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the ideal gas law to find the new temperature after compression, expressing concern over their calculations and the discrepancy with multiple-choice answers provided.
  • Some participants question the use of absolute temperature in the calculations and suggest converting temperatures to Kelvin before performing calculations.
  • There is a discussion about converting the final temperature from Kelvin to Celsius, indicating a potential misunderstanding of unit conversions.

Discussion Status

Contextual Notes

Participants are working within the constraints of a multiple-choice format, which may influence their approach to verifying calculations and understanding the relationships between the variables involved.

DaynaClarke
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Homework Statement


"One way to heat a gas is to compress it. A gas at 1.00 atm at 25.0°C is compressed to one tenth of its original volume, and it reaches 40.0 atm pressure. What is its new temperature?"
So, I have:
P1 = 1
V1 = 1
T1 = 25
P2 = 40
V2 = 0.1

And I'm looking for T2
The question was multiple choice: 1500K, 919 degrees C, 1500 degrees C, and 1192 degrees C.
I'm getting 100 degrees C.

Homework Equations


I've been using the equation: P1V1 / T1 = P2V2 / T2

This gives me
T2 = T1(P2V2)/(P1V1)

The Attempt at a Solution


When I put in my numbers, it gives me:
T2 = 25 (4/1)
= 100 degrees C

This isn't one of the options, but I can't see where I have gone wrong.

If I convert everything to Kelvin, I get 1192K, which is still not quite right due to the units.

Any and all help would be highly appreciated. Am I using the wrong equation, or have I simply missed something?
 
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Hello. Welcome to PF!
DaynaClarke said:

Homework Equations


I've been using the equation: P1V1 / T1 = P2V2 / T2
T is absolute temperature in this equation. So, T should be in K. Once you get your answer in K, you can convert to oC.
 
What do you get if you convert your 1192K to Celsius?
 
TomHart said:
What do you get if you convert your 1192K to Celsius?
919... I feel ever so silly, thank you.
 
TSny said:
Hello. Welcome to PF!
T is absolute temperature in this equation. So, T should be in K. Once you get your answer in K, you can convert to oC.
Thank you for your help
 

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