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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 100kg is filled with helium at 1.66 bar at 27degree celcius ( density of air = 1.2 kg/m^3 and R=0.083 bar dm^3 /k/mol^ 1 )?
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Pay load is defined as the difference between the mass of displaced ai...
Payload of the ballon  = mass of the displaced air – mass of the ballon

Radius of the ballon, r  = 10 m

Mass of the ballon, m = 100kg

Therefore volume of the ballon = 4/3πr^3 = 4/3 x 22/7 x (10)^3 = 4190.5 m^3

Now volume of the displaced air = 4190.5 m^3

Given,

Density of air = 1.2 kg m^–3

Therefore, the mass of the displaced air

= 4190.5 x 1.2  = 5028.6 kg

Let w be the mass of helium gas filled into the ballon,then

PV = (w/m)RT

OR w = PVM/RT

= (1.66 X 4190.5 X 10^3 X 4) / (0.083 X 300)

 = 1117 kg (approx)

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 pay load of the balloon is 3811.6 kg.
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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 100kg is filled with helium at 1.66 bar at 27degree celcius ( density of air = 1.2 kg/m^3 and R=0.083 bar dm^3 /k/mol^ 1 )?
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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 100kg is filled with helium at 1.66 bar at 27degree celcius ( density of air = 1.2 kg/m^3 and R=0.083 bar dm^3 /k/mol^ 1 )? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 100kg is filled with helium at 1.66 bar at 27degree celcius ( density of air = 1.2 kg/m^3 and R=0.083 bar dm^3 /k/mol^ 1 )? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 100kg is filled with helium at 1.66 bar at 27degree celcius ( density of air = 1.2 kg/m^3 and R=0.083 bar dm^3 /k/mol^ 1 )?.
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