Question

Steam from a boiler goes through a turbine and is expanded. It passes through a heat exchanger where it is cooled by another liquid which has a constant temperature. The steam inside the boiler has 28 MW of heat transfer steady at 1900K. The pump uses 3MW of power and the turbine creates 22MW of power. What is the max temperature of the cooling liquid? Boiler Turbine Pump Heat Exchanger 1.2

Answer 1

The maximum temperature we can get in the limting conditions of theoratical and practical efficiency. The equivalent system is drawn in figure 1 and the maximum temperature of the cooling liquid was determined. Please have a look into the attached images for solution in details. Thank you.

- Given data Heat transferred to steam inside the boiler, &- 28 mW Temperature of the steam inside the bodler, T, = 1900k power developed by turbine, Wr turbine, W, = 22 m power consumed by promp, inp => power output & neta W, Wp = 19 mW 3 Mw Net Boiler Ti is geven by moci Ya, = 1 The actual efficiancy of the Cycle Å The theoretical maximum efficiency of the cycle is given byn net és 1- Tz Ta T2 Condenser so, nth > Nact => 1 - Ja T 1 - (fig-) From tig? write, we can 84 ㅋ Tz à Whet - Ti cestou & » Q2 å. Os - Wher => Tz - 28-19 Ti → MW 1 Tz < Tix Q₂ Q. will be maximum T; ETA X2 in the limiting case, ie. (T2) max тах 1900 x इ 9 28 >> (T2) max = 610,714 K :. Maximum temperature of the ce cooling equid=610.714k