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pay load is defined as the difference between the...

Question:
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 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 = 0.083 bar dm³ K^–1 mol^–1).

Answer:

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 = 4/3πr³ = 4/3 x 22/7 x (10)³ = 4190.5 m³

Now volume of the displaced air = 4190.5 m³

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 10³ 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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Question:
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 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 = 0.083 bar dm³ K^–1 mol^–1).

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Question: 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 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 = 0.083 bar dm3 K–1 mol–1).

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Question:
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 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 = 0.083 bar dm³ K^–1 mol^–1).