Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg and R = 0.083 bar ).

Pay load is defined as the difference between the mass of displaced ai

1.	Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air = 1.2 kg and R = 0.083 bar ).
Answer» of the balloon = mass of the DISPLACED air - mass of the balloon Radius of the balloon, r = 10 m Mass of the balloon, m = 100 kg Therefore, volume of the balloon ==Now the volume of the displaced air =From the given, Density of air = Therefore, mass of the displaced air = Let w be the mass of HELIUM GAS FILLED into the balloon, Then, pv = RT Or Total mass of the balloon filled with He = 1117 + 100 = 1217 kg Therefore PAYLOAD of the balloon = 5028.6 - 1217 = 3811.6 kg Hence, the payload of the balloon is 3811.6 kg