Did the Pressure of a Monatomic Gas Change During Isentropic Heating?

AI Thread Summary
The discussion centers on a homework problem involving the isentropic heating of a monatomic ideal gas, where the pressure change needs to be calculated. Participants suggest using the ideal gas law and formulas related to isentropic processes to determine the volume and pressure changes. One user initially calculated a factor of 0.316 but later corrected it to 3.16 after realizing a decimal mistake. The consensus among users confirms that the pressure increases by a factor of 3.16 during the heating process. This highlights the importance of careful calculations in thermodynamic problems.
kolua
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Homework Statement


A sample containing 3.65 mol of a monatomic ideal gas is heated from 289K to 458K, and the entropy remains constant. If the initial volume of the sample was 0.0980m^2, by what factor did the pressure increase or decrease during this process?

Homework Equations

The Attempt at a Solution


it's isentropic. use the formula to get volume and then substitute it into ideal gas formula? would love some hints please!
 

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kolua said:
it's isentropic. use the formula to get volume and then substitute it into ideal gas formula?
That should work. What did you get?
 
TSny said:
That should work. What did you get?
I got 0.316 and the answer is 3.16. thanks, I think I might have made mistake in the decimal.
 
I agree with the answer of 3.16. If you can't find your error, post the details of your work.
 

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