A Carnot engine cycle is shown in the Fig. (2). The cycle runs between temperatures \( T_{H}=\al...

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A Carnot engine cycle is shown in the Fig. (2). The cycle runs between temperatures \( T_{H}=\alpha T_{0} \) and \( \mathrm{T}_{\mathrm{L}}=\mathrm{T}_{0}(\alpha1) \). Minimum and maximum volume at state 1 and state 3 are \( \mathrm{V}_{0} \) and \( n V_{0} \) respectively. The
\( \mathrm{P} \) cycle uses one mole of an ideal gas with \( \mathbf{C}_{P} / \mathbf{C}_{v}=\gamma \). Here \( \mathbf{C}_{P} \) and \( \mathbf{C}_{v} \) are the specific heats at constant pressure and volume respectively. You must express all answers in terms of the given parameters
W \( \left\{\alpha, \mathrm{n}, \mathrm{T}_{0}, V_{0}, ?\right\} \) and universal gas constant \( \mathrm{R} \).
(a) Find \( \mathrm{P}, \mathrm{V}, \mathrm{T} \) for all the states
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