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Steam enters the first-stage turbine shown in the figure at 40 bar and 4500C with a mass flow rate of 40,000 kg/hr. Steam exits the first-stage turbineat 20 bar and 400°C. The steam is then reheated at constant pressure to 500°C before entering the second-stage turbine. Steam leaves the secondstage as saturated vapor at 0.6 bar. Assume steady state operation and ignore stray heat transfer and kinetic and potential energy effects.SaturatedSteamvaporP1 40 barTутP4= 0.6 barPowerTurbineTurbineP2 20 barT2 400°CP3 20 barT3 500°CReheaterQrehealerDetermine the volumetric flow rate of the steam at the inlet to the first-stage turbine, in m/min, the rate of heat transfer to the steam flowing throughthe reheater, in kW, and the total power produced by the two stages of the turbine, in kW.

Question
Steam enters the first-stage turbine shown in the figure at 40 bar and 4500C with a mass flow rate of 40,000 kg/hr. Steam exits the first-stage turbine
at 20 bar and 400°C. The steam is then reheated at constant pressure to 500°C before entering the second-stage turbine. Steam leaves the second
stage as saturated vapor at 0.6 bar. Assume steady state operation and ignore stray heat transfer and kinetic and potential energy effects.
Saturated
Steam
vapor
P1 40 bar
Tут
P4= 0.6 bar
Power
Turbine
Turbine
P2 20 bar
T2 400°C
P3 20 bar
T3 500°C
Reheater
Qrehealer
Determine the volumetric flow rate of the steam at the inlet to the first-stage turbine, in m/min, the rate of heat transfer to the steam flowing through
the reheater, in kW, and the total power produced by the two stages of the turbine, in kW.
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Steam enters the first-stage turbine shown in the figure at 40 bar and 4500C with a mass flow rate of 40,000 kg/hr. Steam exits the first-stage turbine at 20 bar and 400°C. The steam is then reheated at constant pressure to 500°C before entering the second-stage turbine. Steam leaves the second stage as saturated vapor at 0.6 bar. Assume steady state operation and ignore stray heat transfer and kinetic and potential energy effects. Saturated Steam vapor P1 40 bar Tут P4= 0.6 bar Power Turbine Turbine P2 20 bar T2 400°C P3 20 bar T3 500°C Reheater Qrehealer Determine the volumetric flow rate of the steam at the inlet to the first-stage turbine, in m/min, the rate of heat transfer to the steam flowing through the reheater, in kW, and the total power produced by the two stages of the turbine, in kW.

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Step 1

Draw the temperature versus entropy curve for the expansion process of steam through two turbines via reheater as:

P 40 ba
T 450°C 3 = 20 bar
T,500°C
T
2
P 20 bar
T 400°C
4 P 0.6 bar
T 85.926°C
sat
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P 40 ba T 450°C 3 = 20 bar T,500°C T 2 P 20 bar T 400°C 4 P 0.6 bar T 85.926°C sat

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Step 2

Refer to the graph and observe that 1-2 is the expansion process through the first turbine. Refer to the standard steam table and recall the values of specific enthalpy and specific volume of steam at 450 °C and 40 bar as:

0.0800430 m /kg
h 3331.2 kJ/kg
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0.0800430 m /kg h 3331.2 kJ/kg

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Step 3

Now, process 2-3 is the reheating process of steam at constant pressure, which is 20 bar. Refer to the standard steam table and recall the...

h, 3248.3 kJ/kg
h, 3468.2 kJ/kg
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h, 3248.3 kJ/kg h, 3468.2 kJ/kg

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