Heat capacity at constant volume explanation

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Homework Help Overview

The discussion revolves around the concepts of heat capacity at constant volume (CV) and heat capacity at constant pressure (CP), particularly in the context of ideal gases. Participants are exploring the definitions, relationships, and practical implications of these thermodynamic properties.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants attempt to define CV and CP, noting their significance in theoretical and practical contexts. Questions are raised about the relationship between these properties for ideal gases, and why CP is generally greater than CV. Some participants also mention the typical applications of these heat capacities in real-world scenarios.

Discussion Status

The discussion is active, with various interpretations and insights being shared. Some participants provide definitions and contextual applications, while others question the underlying reasons for the differences between CV and CP. There is no explicit consensus, but multiple perspectives are being explored.

Contextual Notes

Participants reference standard physics textbooks for additional information, indicating that some foundational knowledge may be assumed. There is also mention of practical considerations, such as safety and common conditions under which these heat capacities are measured.

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Homework Statement



Explain what is meant by the heat capacity at constant volume, CV, and the heat capacity at constant pressure, CP.

How are these two properties related for an ideal gas?

Why is CP generally greater than CV


Homework Equations





The Attempt at a Solution



heat capacity at constant volume- CV- as the heat input, Q, needed to warm a body, divided by the corresponding temperature rise , where the temperaute rise is small, and the heating is carried out at constant volume


heat capacity at constant pressure, CP. As the heat input, Q, needed to warm a body, divided by the corresponding temperature rise, where the temperaute rise is small, and the heating is carried out at constant pressure,


CV- theortical importance
cp- practical importance
 
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What are [tex]C_p[/tex] and [tex]C_v[/tex] for monatomic and diatomic gases? You can pretty much find your answers to your questions in any standard physics textbook.
 
Both cv and vp are used in practice.
Cp is used maybe a little bit more often because many processes happen at a constant pressure.
The pressure can be the atmospheric pressure.
Or the pressure can be higher but it is often controlled to be constant, for various reasons including safety.
 
Why is CP generally greater than CV?

coz Cp is used more often because more processes at constant pressure.

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How are these two properties related for an ideal gas?

Cp molar heat capacity of a monatomic gas is 5R/2
and for diatomic gas is 7R/2
 

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