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Can someone please explain the Carnot Cycle graph in terms of what equations to use and...

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Physics

Can someone please explain the Carnot Cycle graph in terms ofwhat equations to use and the concepts.

This is what I think but I keep getting mixed up:

Path A to B which is Reversible Isothermal Expansion, Delta U=0, and according to first law Q= -W and we use RTln V2/V1 forW?  In path B to C, the gas expand Adiabatically, so Q= 0and Delta U= - W. Since it is expansion so the work will benegative. We use the formula W= - Cv (T2-T1) for this path. ForPath C to D, it is isothermal compression so do we flip theequation to W= RTln V4/V3 or we can keep it V3/V4 but put thenegative sign on it so like - RTlnv3/v4. Finally, for path D to A,it is an adiabatic Compression do we use W= Cv(t2-t1)?

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