The idealized stirling cycle consists of a reversible closed path of four segments: (i) an isothermal expansion, (i) an isochoric cooling, (iii) an isothermal compression, and (iv) an isochoric heating. (this cycle is described as idealized not just because it is assumed to be quasistatic, but also because actual stirling engines would tend to follow a more rounded path in the pv plane, even ignoring irreversibilities. real stirling engines are known for their relatively simple design and, if carefully manufactured, ability to exploit small temperature differences) assume a working fluid, consisting of n particles of an ideal gas with adiabatic index γ and per-particle mass m, is arranged to undergo an idealized sti at t h, vi, and expands to a volume v2 at its most dilute, and reaches a temperature tl at its coldest point along the cycle ng power cycle. in particular, suppose the gas starts (a) find the thermodynamic engine efficiency n, defined as the ratio of the net work done by the working fluid divided by the sum of all heat flows into the working fluid. that is, use the net work in the numerator, but count all and only the positive heat flows into the system in the denominator the total energy that has at some point during the cycle entered the system as heat. (this is the definition of efficiency presumed, for example, in giancoli's introductory physics text, if you used that for physics 7b). try to express your answer as simply as possible, remembering that the efficiency must be a dimensionless number (b) however, notice that the heat that flows into the system at a certain temperature along the isochorioc heating leg flows out of the system at the same temperature along the isochoric cooling stage. so in effect this energy is only borrowed, and is returned to the surroundings without any thermodynami