Essential power cycles $($quick review$),$ critical minimal information

Rankine:

Steam in at $8600$kPa, $500C,$ condenser at $10$ kPa $,$ sat liquid pumped back to the boiler.

Gas Turbine:

Air adiabatically compressed to $20$ bars, heated by combustion of methane to $1375$ C expanded adiabatically to atm pressure, $60\%$ of the availability is used to produce work.

What is the thermal efficiency of each cycle. How much CO$2$ is produced$/$kWh if the steam is produced burning carbon and the gas turbine uses natural gas?

Assume isentropic processes in the turbine and compressors. Heats of combustion and thermodynamic data can be found in the web.

Find realistic information on Diesel engines to connect to the thermodynamic data.

What is the availability of the gases leaving the engine?