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Required information

Problem $10\mathrm{.}129-$ Non$-$Ideal multi$-$stage regenerative Brayton Cycle

Consider an ideal gas$-$turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each stage of the compressor and turbine is $3.$ The air enters each stage of the compressor at $300$ K and each stage of the turbine at $1200$ K $.$ Assume an efficiency of $86$ percent for each compressor stage and an efficiency of $90$ percent for each turbine stage. Use variable specific heats.

Problem $10\mathrm{.}129.$b $-$ Non$-$Ideal Gas$-$Turbine Cycle with $2-$stage compression and expansion with regeneration

Determine the back work ratio and the thermal efficiency of the cycle, assuming a regenerator with $80\mathrm{.}0$ percent effectiveness is used.

The back work ratio is $\%.$

The thermal efficiency is $$