A smooth, well$-$greased cylindrical container has a light, air$-$tight piston of tadus $10$ cmythat can move frictionlessly up and down the inside of the cylinder The cylinder bas a conducting base so that heat can flow in and out of the air inside the cylinder through$-$the base. The cylinder is initially sitting on the floor of a room that contains a $100-m$ deep pool of pure water for testing divers. The room and the pool are keptat a constant temperature of $(10O)$ When sitting on the floor of the foom, the piston is at a height of $10$ cm above the hase of the cylinder. The piston is then slowly lowered to the bottom of the pool, where it sits and reaches equilibrium.