A Balloon is inflated with Air by connecting it to a well insulated 100 L gas canister. Initially the air canister is at a pressure of PC1 = 9 MPa and at a temperature of TC1 = 25ºC. The pressure, PB, [kPa] in the balloon is proportional to its volume, VB [m3], by the following relationship: PB = 100 + 20 VB= . The balloon is inflated until its volume is 0.5434 m3. The balloon exchanges heat with its surroundings and maintains the same a temperature of 25ºC. Determine the following by assuming all processes to be reversible and the air to be ideal.
a) The mass of air that entered the balloon
b) Final temperature and pressure in the canister
c) The amount of heat transferred between the balloon to the surroundings.