A simple Rankine cycle operates the Boiler at 3 MPa with an outlet temperature of 350°C and the Condenser at 50 kPa. Assuming ideal operation and processes, what is the thermal efficiency of this cycle?

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Quizplus · Accepted Answer

The thermal efficiency of an ideal Rankine cycle can be calculated using the formula: $\eta = 1 - \frac{q_{out}}{q_{in}}$, where $q_{out}$ and $q_{in}$ are the heat rejected in the condenser and the heat added in the boiler, respectively. These values depend on the specific enthalpies at different points in the cycle, which can be found using steam tables or Mollier diagrams based on the given pressures and temperatures. Without performing the specific calculations with these tools, the exact number cannot be determined here, but typically, Rankine cycle efficiencies fall into the range of 30-40% under ideal conditions, making option C (27.7%) a plausible estimate for a simple cycle without reheat or regeneration enhancements.

A Simple Rankine Cycle Operates the Boiler at 3 MPa