The following process converts low pressure steam to high pressure steam while ensuring the final exit temperature is the same as the inlet temperature:

adiabatic

Steam, flowing at $5k\frac{g}{s},$ first enters at $500C$ and $2$ bar into a state$-$of$-$the$-$art adiabatic compressor, which raises the steam to the desired pressure of $20$ bar. However, the steam coming out of the compressor is hotter due to the adiabatic compression. To reduce the steam back down to the desired temperature of $500C,$ it then goes through, at constant pressure, a non$-$mechanical cooler that transfers heat out to the surroundings at $25C.$

$($a$)$ Using the steam tables in Appendix A$.$III of text, determine the:

$($i$)$ Rate of work input to the compressor.

$($ii$)$ Rate of heat transfer to the surroundings from the cooler.

$($iii$)$ Rate of entropy generation for the total process.

$($b$)$ Using Aspen, perform the process flow simulation to derive the same parameters as in part $($a$).$

Note: Use "IAPWS$-95"$ as the "Properties:Base Method" to approximate real steam properties. Write the answers on paper and upload the final Aspen bkp file on Learn.