A gas is contained in a cylinder behind a frictionless piston of diameter 0.1 m and mass 25 kg. When an additional mass M is placed on the piston the gage pressure of the gas becomes 2.0 bar. The...

A gas is contained in a cylinder behind a frictionless piston of diameter 0.1 m and mass 25 kg. When an additional mass M is placed on the piston the gage pressure of the gas becomes 2.0 bar. The local barometric pressure is 775 mm of mercury. (a) Calculate (i) the mass of M and (ii) the absolute pressure of the gas in the cylinder. (b) The piston is held in this position with the aid of a lock on the outside while heat is supplied to the gas until its absolute pressure becomes 4 bar. Calculate the force on the lock in the final equilibrium state.