1996B7 The inside of the cylindrical can shown above has cross-sectional area `0.005m2` 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 ( `1.0×105Pa` ). The cap is now tightened, and the gas is cooled to 298 K .
a. What is the pressure of the cooled gas?
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? (Assume that air is an ideal gas.)