The inside of the cylindrical can shown above has cross-sectional area 0.005 m^2 and length 0.15 m. The can is filled with an ideal gas and covered with a loose cap. The gas is heated to 363 K and some is allowed to escape from the can so that the remaining gas reaches atmospheric pressure. The cap is now tightened, and the gas is cooled to 298 K.
(a) What is the pressure of the cooled gas? show work.
(b) determine the upward force exerted on the cap by the cooled gas inside the can.
(c) if the cap develops a leak how many moles of air would enter the can as it reaches a final equilibrium at 298 K and atmospheric pressure?