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 10m mass 100 kg is filled with helium at 1.66 bar at 27^(@)C (Density of air= 1.2 kg m^(-3) and R = 0.083 bar dm 3 K^(-1) mol^(-1)) .

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 10m mass 100 kg is filled with helium at 1.66 bar at 27^(@)C (Density of air= 1.2 kg m^(-3) and R = 0.083 bar dm 3 K^(-1) mol^(-1)) .
Answer» SOLUTION :Volume of BALLOON `= 4/3 PI r^3 =4/3 xx 22/7 xx (10)^3 = 4190.5 m^3` `= 4190.5 xx 10^3 dm^3` Mass of helium FILLED in the balloon `PV = m/M xxRxxT` or`1.66 xx 4190.5 xx 10^3=m/4 xx 0.083 xx 300` or `m= (1.66 xx 4190.5 xx 10^3 xx 4)/(0.083 xx 300)` = `1117466.7 g = 1117.47 kg` `:. " Total mass of the balloon " = 100 +1117.47` = `1217.47 kg` Volume of air displaced by balloon `= 4190.5 m^3` `:." Mass of displaced air = volume " xx "density"` `= 4190.5 xx 1.2` `= 5028.6 kg` `:." Pay load of the balloon " = 5028.6 - 1217.47` `= 3811.1 kg`