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Thermodynamics - Reheat Rankine Cycle - Two stage

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Thermodynamics - Reheat Rankine Cycle - Two stage

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  • October 2, 2021
  • 10
  • 2020/2021
  • Class notes
  • Engr. gomez
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Jose Alfonso F. Fabe
BSME 2 – Thermodynamics 2


Level 5: Reheat Rankine Cycle with two-stage reheat
A two-stage reheat cycle was implemented for a power plant. Steam from the boiler has a pressure
of 9.0 MPa and a temperature of 400℃. The first reheater has a pressure of 4.0 MPa and a
temperature 400℃. The second reheater has a pressure of 1.4 MPa and 350℃ of temperature. The
𝑘𝑔
condenser pressure is at 30 kPa. For a mass flow rate of 3 , calculate the following: steam rate,
𝑠

turbine work, pump work, heat added in the boiler, heat added in the reheater, total heat added to
the cycle, total heat rejected by the condenser, power output of the cycle, net heat, and the thermal
efficiency.
Solution:

, At State 1:
𝑝1 = 9.0𝑀𝑃𝑎
𝑡1 = 400℃
From table 2.
𝑡𝑠𝑎𝑡 @ 9.0𝑀𝑃𝑎 = 303.40℃
Since, 𝑡1 > 𝑡𝑠𝑎𝑡 , then, it is in superheated steam state.
From table 3.
𝑘𝐽
ℎ1 = 3,117.8
𝑘𝑔
𝑘𝐽
𝑠1 = 6.2854
𝑘𝑔 ∙ 𝐾


At State 2:
𝑝2 = 𝑝3 = 4.0𝑀𝑃𝑎
𝑘𝐽
𝑠2 = 𝑠1 = 6.2854
𝑘𝑔 ∙ 𝐾
From table 2 @ 4.0MPa
𝑘𝐽
𝑠𝑔 = 6.0701
𝑘𝑔 ∙ 𝐾
𝑠𝑔 < 𝑠2, then, it is in superheated steam state.
From table 3@ 4.0MPa

We will solve enthalpy in state 2 by using linear interpolation.
Entropy Enthalpy
𝑘𝐽 𝑘𝐽
6.2842 2,917.0
𝑘𝑔 ∙ 𝐾 𝑘𝑔
𝑘𝐽 ℎ2
6.2854
𝑘𝑔 ∙ 𝐾
𝑘𝐽 𝑘𝐽
6.3108 2,931.9
𝑘𝑔 ∙ 𝐾 𝑘𝑔

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