Estimating The Mass Necessary For A Particular Rankine Cycle

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SUMMARY

The discussion focuses on calculating the efficiency of a Rankine cycle by modifying parameters such as maximum temperature, maximum pressure, and minimum temperature. The original parameters are T_min = 20°C, T_max = 600°C, P_min = 0.023 bar, and P_max = 300 bars. The user successfully determines that at a maximum temperature of 500°C and maximum pressure of 300 bars, the entropy remains constant during the adiabatic process between states 3 and 4. The user expresses uncertainty about performing interpolation using thermodynamic tables for further calculations.

PREREQUISITES
  • Understanding of Rankine cycle thermodynamics
  • Familiarity with entropy and adiabatic processes
  • Knowledge of thermodynamic tables for water and steam
  • Basic skills in interpolation techniques
NEXT STEPS
  • Study the effects of varying T_max and P_max on Rankine cycle efficiency
  • Learn about the use of thermodynamic tables for water and steam properties
  • Explore interpolation methods in thermodynamics
  • Investigate the impact of reducing T_min on overall cycle performance
USEFUL FOR

Students and professionals in mechanical engineering, particularly those focusing on thermodynamics and energy systems, will benefit from this discussion.

Bashyboy
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Calculating the Efficiency of A Rankine Cycle For Various Parameters

Homework Statement


Calculate the efficiency of a Rankine cycle that is modified from the parameters used in the text in each of the following three ways (one at a time), and comment briefly on the on the results: (a) reduce the maximum temperature to 500 deg. C; (b) reduce the maximum pressure to 100 bars; (c) reduce the minimum temperature 10 deg. C


Homework Equations



The parameters given the text are T_min = 20 C, T_max = 600, P_min = 0.023 bar, and P_max = 300 bars.

The Attempt at a Solution



At vertex 3, the temperature of the gas is 500 deg. C, and the pressure is 300 bars. Therefore, the entropy of the gas is 5.791, according to table 4.2. Because the process described by the segment 3-4 is adiabatic, there will be no heat lost or gained, which means that entropy will not change due to this; furthermore, the volume changes is small enough to allow us to make the approximation that the entropy does not change very much. Therefore, the water at 3 should have approximately the same entropy as it has at 4. So, I can claim that

S_3 = S_4 and S_4 = S_g + S_l.

Apparently I am suppose to do some sort of interpolation using the tables, but I am unsure of how to do this.
 

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Sorry everyone. I gave this thread a title that does not reflect what I am truly asking. This title belongs to a question I was going to originally ask, but I figured out the problem. I am trying the edit my post and change the title name; however, it won't work. If a moderator could change the title to, "Calculating the Efficiency of A Rankine Cycle For Various Parameters," I would appreciate that.
 

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