Air enters the compressor of a simple gas turbine at 0.1 MPa, 300 K. The pressure ratio is 9 and the maximum temperature is 1000 K. The turbine process is divided into two stages, each with a pressure ratio of 3, with intermediate reheating to 1000 K. Use the PG model. What would the answers be if the reheat were eliminated?

Your question lacks some details below is the missing detail

a) Determine the net work output per unit mass (wnet). Use the PG model.

b)What would the answer be if the reheat were eliminated?

answer :

a) 278.173 kJ/kg

b) 205.21 kJ/kg

Explanation:

Given data :

T1 = 300 k

P1 = 0.1 MPa

rp ( pressure ratio ) = 9

T3 = 1000 k

intermediate reheating = 1000 K

a) Determine Work output per unit mass ( wnet )

wnet = [ mCp ( T3 - T2 ) + mCp ( T5 - T4 ) ] - [ mCp ( T6 - T1 ) ] ( 1 )

where:   mCp = 1.005 kJ/Kgk  , T3 = 1000 k , T5 = 1000k , T4 = 730.59 k ( calculated value ),  T2 = 562.03 K ( calculated value ) , T6 = 730.59 K , T1 = 300k

Input values into equation 1

wnet = 278.173 kJ/kg

b) wnet without reheat

= [ mCp ( T3 - T2 ) + mCp ( T4 - T1 ) ]   2

T4 = 1000 k / 9^(1.4-1 / 1.4 ) = 533.776 k , T3 = 1000 k , T2 = 562.03 K , T1 = 300 k

input values back to equation 2

wnet = 205.21 kJ/kg

1

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