A certain type of ideal gas at pressure p0 is contained in a plugged flask of volume V initially at temperature T1 . The environmental pressure remains constant p0 .

(a) As the flask is heated up to temperature T2 , the plug pops out. What is the pressure p2 of the ideal gas inside of the flask right before the plug pops out?

(b) Following the preceding part, the plug is put back on once the pressure of the ideal gas becomes balanced with the environmental pressure p0 , which is assumed to be constant. Remove the flask from heat and let it cool down to the initial temperature T1 . What is the pressure p3 of the ideal gas in the flask now?

(c) Order p2,p3,andp0 in magnitude. Does it make sense? How to use this observation to tell wheter there is loss of gas when the plug pops out and to decide how much gas is lost?