Air at 100 kPa and 300 K with a mass flow rate of 0.05 kg/s is to be compressed to 800 kPa using any one of the followin

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Air at 100 kPa and 300 K with a mass flow rate of 0.05 kg/s is to be compressed to 800 kPa using any one of the following methods:
Method 1: Quasistatic adiabatic compression from 100 kPa to 800 kPa in a single compressor.
Method 2: Quasistatic adiabatic compression from 100 kPa to 250 kPa in one compressor followed by Quasistatic adiabatic compression from 250 kPa to 800 kPa in a second compressor.
Method 3: Quasistatic adiabatic compression from 100 kPa to 250 kPa in one compressor followed by constant pressure cooling to 300 K at 250 kPa, and then Quasistatic adiabatic compression from 250 kPa to 800 kPa in a second compressor.
a) Determine the method in which the total power requirement will be the lowest
Air at 100 kPa and 300 K with a mass flow rate of 0.05 kg/s is to be compressed to 800 kPa using any one of the following methods:
Method 1: Quasistatic adiabatic compression from 100 kPa to 800 kPa in a single compressor.
Method 2: Quasistatic adiabatic compression from 100 kPa to 250 kPa in one compressor followed by Quasistatic adiabatic compression from
250 kPa to 800 kPa in a second compressor.
Method 3: Quasistatic adiabatic compression from 100 kPa to 250 kPa in one compressor followed by constant pressure cooling to 300 K at
250 kPa, and then Quasistatic adiabatic compression from 250 kPa to 800 kPa in a second compressor.
a) Determine the method in which the total power requirement will be the lowest