Consider a closed system undergoing a thermodynamic process. Initially, the system is at a temperature of 300 K and a pressure of 1 atm. During the process, 1000 J of heat is added to the system, and the system does 500 J of work on its surroundings.

a) Determine the final temperature of the system if the process is adiabatic.

b) Calculate the change in internal energy of the system.

c) Calculate the final pressure of the system if the volume remains constant.