An emergency flotation device is made by attaching a high pressure canister of air to a balloon via a valve. initially, the balloon is deflated (i. e., its volume is zero) and the canister is pressurized to pc, 1 = 6000 psi. the canister has inner radius rc= 2.5 cm and length lc = 20 cm. in order to activate the flotation device, the valve is opened allowing air to flow into the balloon causing it to inflate. the internal pressure in the balloon is higher than atmospheric pressure due to the tension in the balloon material. the internal pressure is given by: p_b=p_atm+k_bv_b where p_atm =100 kpa is the atmospheric pressure, kz> is the balloon volume, and k_b= 1x10_6 n/ms. the inflation process is complete when the pressure within the canister and the pressure within the balloon are the same. assume that the air within the canister and the balloon is maintained at tam = 15degreec by heat transfer with the surroundings. model air as an ideal gas. a. determine the final radius of the balloon. b. what is the wo k done by the air on the balloon? what is the heat transfer from the surroundings to the air? c. the buoyancy force is calculated as the weight of a displaced fluid. determine the buoyancy force associated with the flotation device once it is activated. assume that the density of water is p w= 1000 kg/m^3.