For maximum work output in a two stage expansion gas turbine with perfect intercooling, the intermediate pressure (P) has the following relationship with maximum pressure (P1) and minimum pressure (P2) of the cycle:

1
\(P = \sqrt {\frac{{{P_1} + {P_2}}}{{{P_1} - {P_2}}}}\)
2
\(P = \sqrt {{P_1}{P_2}}\)
3
\(P = {\left( {\frac{{{P_1}}}{{{P_2}}}} \right)^{\frac{1}{2}}}\)
4
\(P = {\left( {\frac{{{P_1} + {P_2}}}{4}} \right)^{\frac{1}{2}}}\)

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