Calc # of Persons Carried by Hydrogen Balloon

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To determine the number of 80 kg persons a 20-meter diameter hydrogen balloon can carry, calculations must consider the buoyant force generated by the balloon. The volume of the balloon is calculated using the formula for the volume of a sphere, leading to an estimate of the lift provided by the hydrogen gas. The difference between the buoyant force and the weight of the persons must be evaluated, factoring in the atmospheric pressure and temperature conditions. The final calculation will yield the maximum number of individuals the balloon can safely carry. Accurate calculations are essential for ensuring safety and efficiency in balloon flight.
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Homework Statement


Determine the no. of persons of 80kg=mass that can be carried bya a 20-meter diameter balloon. filled with hydrogen gas. at 5° c and 101 K pa|a| if the atmospheric pressure is 101.325 kpa|a| at 10° c assume g= 9.795 m/s²

can you help me figure this out?
 
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What calculations have you done so far? :smile:
 
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