A 700 kg piston is initially held in place by a removable latch inside a horizontal cylinder. The totally frictionless cylinder (assume no viscous dissipation from the gas also) has an area of 0.1 m²; the volume of the gas on the left of the piston is initially 0.1 m³ at a pressure of 8 bars. The pressure on the right of the piston is initially 1 bar, and the total volume is 0.25 m³. The working fluid may be assumed to follow the ideal gas equation of state. What would be the highest pressure reached on the right side of the piston and what would be the position of the piston at that pressure?

(a) Assume isothermal; 

(b) What is the kinetic energy of the piston when the pressures are equal?