One mol of an ideal gas, used as a working substance in a Carnot cycle, operates initially

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One mol of an ideal gas, used as a working substance in a Carnot cycle, operates initially at \(610 \mathrm{~K}\) and \(10^{6} \mathrm{~N} / \mathrm{m}^{2}\) in the compression stage. The gas then expands isothermally to a pressure of \(10^{5} \mathrm{~N} / \mathrm{m}^{2}\) and adiabatically at \(310 \mathrm{~K}\). Determine \(\Delta E, Q\) and \(W\) for each step, and the net work done and the efficiency of the cycle, given that the heat capacity of the gas at constant volume, \(C_{V}=20.78 \mathrm{~J} / \mathrm{mol}-\mathrm{K}\).

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