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THERMODYNAMICS - CASE STUDY

    Introduction


A Power Plant

 

In order to win a design contract for a power plant, a company is soliciting ideas from its three design teams. The power plant receives heat from a underground hot spring and rejects the waste heat to the surrounding air. The three teams are required to submit the schematic of their design and report the efficiency of the power plant.

What is known:

  • The temperature of water in the underground hot spring is 140 oC
  • The temperature of the surrounding air is 30 oC
  • The thermal efficiencies reported by the three teams are:
    Team A: 18.0%
    Team B: 26.6%
    Team C: 28.0%
     
    Question


  Based on the Carnot Principles, determine which design is possible.
     
    Approach



  Compare the thermal efficiency reported by the three teams with the thermal efficiency of a Carnot Heat Engine (will be introduced in next section) working between 140 oC and 30 oC, which is:

      ηREV = 1 - (30 + 273)/(140 + 273) = 26.6%