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Calculate the volume of the balloon filled with hydrogen gas, which will be sufficient to lift a load of 25 kg in air. Given that the densities of air and hydrogen are `0.00129g//c c` and `0.00009 g//c c` respectively. |
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Answer» The weight of hydrogen in the balloon and load 25 kg will act vertically downwards while thrust of air vertically up. So the balloon will lift the weight if, `"Th" ge "weight of hydrogen"+"load"` or `Vrho_(air)g=Vrho_(H)g+Mg` or `V(rho_(air)-rho_(H))=M` or `(25xx10^(3)g)/((0.00129-0.00009))` `=(25xx10^(7))/12` or `V=2.083xx10^(7)"cc"` `=20.83m^(3)` |
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