Consider a piston$-$cylinder device containing $10$ kg of water. Initially, the water has a pressure of $20$ bar

and occupies a volume of $1$ m$3.$ The system undergoes a process in which it is compressed to $100$ bar.

The pressure$-$volume relationship during this process is given by $.=.$

Determine,

a$)$ The initial temperature

b$)$ The work done during this process

c$)$ The heat transfer during this process

d$)$ The final temperature