Heat transferred into a closed system

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Discussion Overview

The discussion revolves around calculating the heat transferred into a closed system using the ideal gas law, specifically in the context of a cylinder piston system being heated. Participants explore the application of the first law of thermodynamics and the appropriate equations to use for this scenario.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants inquire whether the heat transferred into the system should be calculated as Cp(Tf-Ti) or as Cp(Tf-Ti) plus the work done by the system.
  • There is a reference to the first law of thermodynamics, with a participant stating that Q equals ΔU plus W, but expressing uncertainty about how to calculate ΔU.
  • One participant states that for one mole of an ideal gas, ΔU equals Cv(Tf-Ti), questioning how to proceed from that point.
  • Another participant challenges the use of Cv instead of Cp, arguing that the system operates at constant pressure with variable volume.
  • A question is raised about whether the internal energy of an ideal gas is a function of temperature only or also of temperature and volume.
  • Participants discuss the amount of work done in a constant pressure scenario.

Areas of Agreement / Disagreement

Participants express differing views on whether to use Cv or Cp for the calculations, indicating a lack of consensus on the appropriate approach to take in this context.

Contextual Notes

There are unresolved questions regarding the calculation of ΔU and the definitions of work done in the context of constant pressure versus variable volume.

Axe199
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So i am making a simple demonstration of ideal gas law using a cylinder piston system, heating the system so the piston is pushed up, i wanted to calculate the heat transferred into the system, will it be Cp(Tf-Ti) or Cp(Tf-Ti)+ work done by the system ?
 
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Axe199 said:
So i am making a simple demonstration of ideal gas law using a cylinder piston system, heating the system so the piston is pushed up, i wanted to calculate the heat transferred into the system, will it be Cp(Tf-Ti) or Cp(Tf-Ti)+ work done by the system ?
Using the first law of thermodynamics, how would you answer this question?
 
Chestermiller said:
Using the first law of thermodynamics, how would you answer this question?
well using the first law Q-W=ΔU, Q will equal to to ΔU+ W but i don't know how to calculate ΔU
 
abdo799 said:
well using the first law Q-W=ΔU, Q will equal to to ΔU+ W but i don't know how to calculate ΔU
For one mole of an ideal gas, ##\Delta U =C_v(T_f-T_i)##. Now what?
 
Chestermiller said:
For one mole of an ideal gas, ##\Delta U =C_v(T_f-T_i)##. Now what?
why use Cv not Cp the system has constant pressure and variable volume
 
abdo799 said:
why use Cv not Cp the system has constant pressure and variable volume
The internal energy of an ideal gas is (a) a function of temperature only or (b) a function of temperature and volume (per unit mass)?

For constant pressure, what is the amount of work that is done?
 
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