How to Calculate Final Pressure of an Ideal Gas with Changing Conditions?

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SUMMARY

The discussion focuses on calculating the final pressure of an ideal gas using the ideal gas law equation, specifically Pi x Vi / Ti = Pf x Vf / Tf. The initial conditions include a volume of 150 cm³, an initial temperature of 20 degrees Celsius (293 K), and an initial pressure of 1 atm. After reducing the volume to 100 cm³ and increasing the temperature to 40 degrees Celsius (313 K), the calculated final pressure is approximately 1.6 atm. The participant's confusion regarding unit conversion was clarified, confirming that the calculation was correct as presented.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of temperature conversion from Celsius to Kelvin
  • Familiarity with unit conversions in pressure and volume
  • Basic algebra skills for manipulating equations
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  • Study the Ideal Gas Law and its applications in various scenarios
  • Learn about unit conversions between different measurement systems
  • Explore the concept of pressure-volume-temperature relationships in thermodynamics
  • Practice solving problems involving real gases and deviations from ideal behavior
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Students studying chemistry or physics, particularly those focusing on thermodynamics and gas laws, as well as educators looking for examples of ideal gas calculations.

astru025
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Ideal gas laws question.. Help!

Homework Statement



Volume of 150cm^3 of an ideal gas has an initial temp. Of 20 degrees celsius and an initial pressure of 1 atm. What is the final pressure if the volume is reduced to 100cm^3 and the temp is raised to 40 degrees celsius.

Homework Equations



Pi x Vi / Ti = Pf x Vf / Tf

The Attempt at a Solution



1 atm x 150 cm^3 / 293 K = P x 100cm^3 / 313 K.
I keep getting 1.6, this answer is incorrect. I'm pretty sure my units are mixed up but I'm not sure what I need to fix. Any help would be great! Thanks
 
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You really don't need to fix any units in this particular calculation. It looks like your answer is correct, unless you are required to give the answer as 1.6 atm.

Chet
 

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