Heat transferred into a closed system

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SUMMARY

This discussion centers on calculating heat transfer in a closed system using the ideal gas law and the first law of thermodynamics. The heat transferred into the system is determined by the equation Q = ΔU + W, where ΔU for one mole of an ideal gas is given by ΔU = C_v(T_f - T_i). The confusion arises regarding the use of C_v versus C_p, with the clarification that C_v is appropriate for internal energy calculations, while C_p is relevant for enthalpy at constant pressure conditions.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with the first law of thermodynamics
  • Knowledge of specific heat capacities (C_p and C_v)
  • Basic principles of thermodynamic work
NEXT STEPS
  • Study the derivation of the first law of thermodynamics
  • Learn about the differences between C_p and C_v in thermodynamics
  • Explore calculations of work done in thermodynamic systems at constant pressure
  • Investigate the relationship between internal energy and temperature for ideal gases
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Students and professionals in physics, engineering, and thermodynamics who are interested in understanding heat transfer and energy calculations in closed systems.

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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