Question

A blimp is with a mass of 100 kg is filled with 600 m3 of helium. How big a payload (in kg) can the balloon lift? (The density of air is 1.29 kg/m3, the density of helium is 0.18 kg/m3). Can you draw a picture to help?

Answer 1

mass of helium = volume of helium * density of helium

= 600*0.18

= 108 kg

mass of blimp = 100 kg

let the mass of payload = m

therefore, total mass /total volume = density of air

(m+108+100)/600 = 1.29

m + 208 = 774

m = 566 kg

therefore, maximum payload = 566 kg

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