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

AI Thread Summary
To calculate the final pressure of an ideal gas when volume and temperature change, the ideal gas law equation can be used: Pi x Vi / Ti = Pf x Vf / Tf. In the given scenario, the initial conditions are 150 cm^3 at 20 degrees Celsius and 1 atm, while the final conditions are 100 cm^3 at 40 degrees Celsius. The calculation yields a final pressure of 1.6 atm, which may be considered incorrect depending on the required format. The discussion highlights that the units do not need fixing, and the answer is likely acceptable as 1.6 atm. Proper understanding of the ideal gas law is crucial for solving such problems accurately.
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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 celcius 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 celcius.

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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