Thermal Efficiency in a Reversible Process

A quantity of perfect monoatomic gas is performing the reversible cycle in the figure. If the thermal efficiency of this cycle can be written as \(\eta=\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, what is the value of \(a+b\)?

  • The molar specific heat at constant volume is: \({C}_{V}=\frac{3}{2}R\).
  • Thermal efficiency is defined as the ratio of heat input to work output, i.e. \(\eta=\frac{W}{Q_\textrm{in}}\).
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