Please show the complete work.

A Brayton power cycle with reheat using air as the working fluid.

Consider the working fluid to be air at all points from the inlet at $1$ to the outlet at $6.$ Ignore the fuel flow, which is summarized by the inlet heat flow into the combustion chamber. Considering the above, in addition to the data given in the table, the following is required to be calculated:

$1.$ Calculate the ideal and real state of the cycle, considering that the specific heat of the air is not constant, for which you must use table A$-17$ for air, at each of the points required.

$2.$ Calculate the actual state of the cycle, considering the average specific heat of the air; It is determined in each team with the temperatures calculated in the previous point. Use Table A$-2$b for specific heats.

Air flow: $1\mathrm{.}87$

Compressor efficiency: $0\mathrm{.}90$

Turbine efficiency: $0\mathrm{.}81$

Rp rel. Pressures: $7\mathrm{.}25$

T$1$: $298\mathrm{.}15$K

T$3$: $1176\mathrm{.}20$K