How is the compression in the Otto cycle different from the Brayton cycle?

A two$-$stage compressor having an interstage cooler takes in air, $300K,100$kPa, and compresses it to $2$ MPa $.$ The cooler then cools the air to $340$ K $,$ after which it enters the second stage, which has an exit pressure of $15\mathrm{.}74$ MPa $.$ Both stages are adiabatic, and reversible. Find q in the cooler, total specific work, and compare this to the work required with no intercooler.

A heat$-$powered portable air compressor consists of three components: $($a$)$ an adiabatic compressor; $($b$)$ a constant pressure heater $($heat supplied from an outside source$)$; and $($c$)$ an adiabatic turbine. Ambient air enters the compressor at $100$kPa,$300K,$ and is compressed to $600$ kPa $.$ All the power from the turbine goes into the compressor, and the turbine exhaust is the supply of compressed air. If this pressure is required to be $200$ kPa $,$ what must the temperature be at the exit of the heater?

Air enters an insulated turbine at $50C,$ and exits the turbine at $30C,100$kPa. The isentropic turbine efficiency is $70\%$ and the inlet volumetric flow rate is $20\frac{L}{s}.$ What is the turbine inlet pressure and the turbine power output?