Solving PV Graphs: Work, Heat, ΔU Questions

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The discussion focuses on understanding how to solve problems related to the First Law of Thermodynamics for ideal gases, specifically regarding work (W), heat (Q), and changes in internal energy (ΔU) across various processes depicted in PV graphs. Key equations mentioned include ΔU = Q + W and W = -PΔV, with emphasis on calculating these values for processes A to B, B to C, and C to A. The importance of determining temperature from the PV diagram and its relationship to ΔU is highlighted, particularly for monatomic ideal gases. The conversation also touches on identifying whether W, Q, and ΔU are positive or negative in these systems. Understanding these concepts is crucial for effectively solving thermodynamic problems involving ideal gases.
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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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