A $1$ m$^3$ tank$,$ initially filled with air at $2$ bar and $40\backslash$deg C$,$ is filled with pressure air and

Temperature environments $(1$bar and $20\backslash$deg C$).$ In order to enter the air, a compressor is used that provides $250$ W$.$ After $10$ minutes, a pressure of $3$ bar and a temperature of $60\backslash$deg C is observed. It is requested:

a$)$ Define the type of system and the massive and energetic interactions that take place on the borders, as well as the hypotheses that will be used.

b$)$ Determine the mass of air that has entered during the $10$ min.

c$)$ Determine the redeemed heat with the atmosphere.