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

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SUMMARY

The pressure of a monatomic ideal gas changes during isentropic heating, as demonstrated in a scenario involving 3.65 mol of gas heated from 289K to 458K. The initial volume was 0.0980 m3, and the pressure increased by a factor of 3.16. The calculations involved using the ideal gas law and understanding isentropic processes. Participants confirmed the final pressure change factor as 3.16, indicating a successful application of thermodynamic principles.

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  • Understanding of ideal gas laws
  • Knowledge of isentropic processes in thermodynamics
  • Familiarity with entropy concepts
  • Basic algebra for solving equations
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  • Study the derivation of the ideal gas law
  • Learn about isentropic processes and their applications
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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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