Saved Bookmarks
| 1. |
Pay load is defined as the difference between the mass of the displaced air and the mass of the balloon. Calculate the say 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 m"^(-3)` and R=0.0833 bar `dm^(3) K^(-1)mol"^(-1)` ) |
|
Answer» Radius of the balloon =10 m `:.` Volume of the balloon`=(4)/(3)pir^(3)=(4)/(3)xx(22)/(7)xx(10 m)^(3)=4190.5" m"^(3)` Volume of He filled at 1.66 bar and `27^(@)C=4190.5" m"^(3)` Calculation of mass of He : PV=nRT`=(w)/(M)RT` or `" " w=("MPV")/("RT")=((4xx10^(-3)" kg mol"^(-1))(1.66"bar")(4190.5xx10^(3)"dm"^(3)))/((0.083" bar dm"^(3)" K "^(-1)"mol"^(-1))(300K))=1117.5" kg"` Total mass of the balloon along with He `=100+1117.5=1217.5" kg"` Maximum mass of the air that can be displaced by balloon to go up =Volume xxDensity `=1490.5" m"^(3)xx1.2" kg "m^(-3)=5028.6" kg"` `:. " Pay load" =5028.6-1217.5" kg" =3811.1" kg"` |
|