Solving PV Graphs: Work, Heat, ΔU Questions

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Homework Help Overview

The discussion revolves around understanding the thermodynamic processes of an ideal gas as represented in PV graphs. Participants are exploring how to calculate work (W), heat (Q), and change in internal energy (ΔU) for various processes, as well as the relationships between these quantities according to the First Law of Thermodynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify the necessary equations and procedures for calculating thermodynamic quantities in different scenarios involving ideal gases. They express uncertainty about the first steps and seek guidance on how to approach these problems.
  • Some participants suggest referencing external resources for better understanding and clarification of the concepts involved.
  • Others question the accuracy of the information found in external resources and discuss the importance of the First Law of Thermodynamics in solving the problems presented.

Discussion Status

The discussion is ongoing, with participants providing some guidance on the application of the First Law of Thermodynamics and suggesting that specific problem details are necessary for further assistance. There is an acknowledgment of the need for clarity in understanding the relationships between Q, W, and ΔU.

Contextual Notes

Participants note the importance of understanding the signs of work and heat in relation to the system, as well as the need for specific problem details to accurately apply the relevant equations. There is also mention of various equations that may be relevant to the discussion.

skoopfadj
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I'm sorry I cannot conform to the default format Physicsforums.com; it is because I do not even know the first step to solving these sorts of problems, I don't know which equations to use which is a major problem. Here are the types of questions I require understanding.
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An ideal gas goes through three processes (A>B>C>[A]) (Triangular form) (PV Chart)
How would I figure out The Q, W, and ΔU (internal energy) for A to B, B to C, C to A?
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On another graph using variables but this time with numerical values for P and V on the axis, how would I find the work done by a monatomic ideal gas as it expands from point A to point C along the path shown in the figure? Also, how much heat would be absorbed BY the gas during this process?
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Finding the net work, heat, and ΔU in another PV Graph with data on the axis-es?
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Calculating temperature, work, and/or internal energy in another PV Graph?
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Whether or not W, Q, or ΔU is positive(gained) or negative(released) in an ideal gas system as well as how those three (Q,W,..U) are related?
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I really wish to work on the problems myself, so I have only asked what procedures I should take.
Here is a list of equations I have scavenged.

ΔU = Won + Q

ΔU = (3/2)nRΔT

Won = -PΔV

P1V1 = P2V2

(P1V1)/T2 = (P2V2)/T2

PV = nRT

Is there any important equation that I am missing?
 
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A couple of errors it seems are to be found on the website but it has been very helpful so far I've read. Thank you ehild. :)
 


skoopfadj said:
I'm sorry I cannot conform to the default format Physicsforums.com; it is because I do not even know the first step to solving these sorts of problems, I don't know which equations to use which is a major problem. Here are the types of questions I require understanding.
-
An ideal gas goes through three processes (A>B>C>[A]) (Triangular form) (PV Chart)
How would I figure out The Q, W, and ΔU (internal energy) for A to B, B to C, C to A?
These problems are all about the First Law of Thermodynamics:

ΔU = Q + W where W is the work done ON the gas. I prefer to use:

Q = ΔU + W where W is the work done BY the gas.

To determine the values, we would need to see the exact problem.

On another graph using variables but this time with numerical values for P and V on the axis, how would I find the work done by a monatomic ideal gas as it expands from point A to point C along the path shown in the figure? Also, how much heat would be absorbed BY the gas during this process?
Again, this requires application of the first law of thermodynamics.

From the PV diagram you can determine T (if you are given n or an initial T) and W = PΔV (or -PΔV, depending on which version of the first law you are using). From T you can determine ΔU using ΔU = nCvΔT (you have given this equation for a monatomic ideal gas where Cv = 3R/2). From W and ΔU you can determine Q.

AM
 

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