What Is the Heat Capacity at Constant Pressure for an Ideal Gas?

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SUMMARY

The heat capacity at constant pressure (CP) for an ideal gas can be determined using the equation CV = (ΔU + PΔV)/ΔT. In the given scenario, with 1023 point particles and a constant pressure of 3x10^5 Pa, 200J of heat is added. The challenge lies in the lack of values for ΔT or ΔV, which are necessary to compute CP directly. It is established that the heat capacity of all ideal gases is identical, simplifying the analysis across different gases.

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  • Understanding of ideal gas laws
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  • Knowledge of heat transfer concepts
  • Basic calculus for deriving relationships between variables
NEXT STEPS
  • Study the derivation of heat capacity for ideal gases
  • Learn about the relationship between internal energy (U) and temperature (T)
  • Explore the concept of ΔV in the context of gas expansion
  • Investigate the implications of constant pressure processes in thermodynamics
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Homework Statement


I have an ideal gas of n=1023 point particles with a constant pressure of P = 3x105 Pa as 200J of heat flows into it. What is the heat capacity at constant pressure, CP?


Homework Equations


CV = (ΔU + PΔV)/ΔT


The Attempt at a Solution


Okay... So I have N, P and Q. I'm not sure if I'm missing something but I have no idea how to even begin finding this without ΔT or ΔV.

(Also, the next part of the problem involves finding delta T, which can be found using Q/C, so I'm assuming I shouldn't be finding it in this part of the question.) This is one part of a multiple part question and I can do the rest of them quite easily -- I feel like I'm missing something.

Any help is appreciated. Thank you!
 
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