Question $2(30$ pts$)($please solve step by step$)$

A piston and cylinder device, which is made of aluminum, has a mass of $1$ kg and it contains $1$ kg of air. Air is then compressed from $100$ kPa and $50C$ to $500$ kPa and $100C$ in a process. The work done on the system is $281$ kJ and heat from the system is transferred to the surroundings at $25C.$ Assume air and the device is in thermal equilibrium during the process.

Use constant specific heats approach to get the full credit and calculate

i$.$ The entropy change of the whole system $($air and aluminum$).$

ii$.$ The total entropy generation for this process.