Thermodynamics - Whcih isotherm has higher temperature?

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Homework Help Overview

The discussion revolves around identifying which of two isotherms on a P-V diagram corresponds to a higher temperature in the context of thermodynamics. The original poster expresses confusion regarding the relationship between the area of the rectangle formed by pressure and volume and the temperatures of the isotherms.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the area of the rectangle formed by pressure and volume and the temperatures of the isotherms. Some question whether equal areas imply equal temperatures, while others suggest that the product of pressure and volume can indicate temperature differences.

Discussion Status

Participants are actively engaging with the problem, with some providing insights about the implications of the P-V diagram. There is acknowledgment of differing interpretations regarding the relationship between area and temperature, and guidance has been offered regarding the role of the number of moles in determining temperature.

Contextual Notes

The original poster references a textbook answer indicating that one temperature is less than the other, which adds a layer of complexity to the discussion. There is also a note about an attachment that has not yet been viewed by all participants.

Amith2006
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Sir,
Two isotherms are given. How do we identify which one is at higher temperature? The area of the rectangle formed with P & V as sides seems to equal for both the curves. So I think the temperatures are equal. But the answer given in my book is T1<T2.
I am herewith attaching the P-V diagram.
 

Attachments

Physics news on Phys.org
I can't see the attachment yet, but the temperature is greater on an ideal gas PV diagram at the locations where the product of P*V is greater. This means that as go up-and-right on the PV diagram, you will increase in temperature.
 
Amith2006 said:
Sir,
Two isotherms are given. How do we identify which one is at higher temperature? The area of the rectangle formed with P & V as sides seems to equal for both the curves. So I think the temperatures are equal. But the answer given in my book is T1<T2.
I am herewith attaching the P-V diagram.
I can't see your diagram yet but note: the area of the rectangle of sides P and V measures (PV =) nRT. If n differs between the two gases, the PV area might be the same but the temperatures are not.

AM
 
Sir,
I don't have words to thank you. This is a service to all students like me.
 

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