Solving Thermodynamics Ideal Gas Probs: Q, W, ΔU w/Help | Physicsforums.com

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The discussion focuses on solving thermodynamics problems involving ideal gases, specifically calculating heat (Q), work (W), and change in internal energy (ΔU) across various processes represented on PV diagrams. The user expresses uncertainty about which equations to apply and seeks guidance on procedures for solving these problems. Key equations mentioned include the ideal gas law, ΔU = Won + Q, and specific formulas for work during isothermal processes. There is an emphasis on understanding the relationships between Q, W, and ΔU, including whether these quantities are positive or negative in different scenarios. The user aims to independently tackle the problems with a clearer understanding of the underlying principles.
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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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I think that since you are working with idel gasses, you can dervie most of the stuff from 3-4 equations, namely:
The ideal gas law : pV = nRT
The Laws of thermodynamics.(2-3 laws is useful).

If you want to find the Work done during a isothermal(T constant) step e.g.:
W = -\int\limits_{V_1}^{V_2}\! p\,\text{d}V = -\int\limits_{V_1}^{V_2}\! \dfrac{nRT}{V}\,\text{d}V = -nRT\left(\ln(V_2)-\ln(V_1)\right) = -nRT\ln\left(\dfrac{V_2}{V_1}\right)
I hope that I understood your question.
 
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