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(a) A light balloon is filled with 417 m 3 of helium. At 0°C, theballoon can lif

ID: 1725163 • Letter: #

Question

(a) A light balloon is filled with 417 m3 of helium. At 0°C, theballoon can lift a payload of what mass?
1 kg

(b) In Table 14.1, observe that the density of hydrogen is nearlyhalf the density of helium. What load can the balloon lift iffilled with hydrogen?
2 kg Hydrogen 8.99x10^-2 Helium 1.79x10^-1 (a) A light balloon is filled with 417 m3 of helium. At 0°C, theballoon can lift a payload of what mass?
1 kg

(b) In Table 14.1, observe that the density of hydrogen is nearlyhalf the density of helium. What load can the balloon lift iffilled with hydrogen?
2 kg Hydrogen 8.99x10^-2 Helium 1.79x10^-1

Explanation / Answer

(a) A light balloon is filled with 417 m3 of helium. At 0°C, theballoon can lift a payload of what mass?


mass of the helium=417*0.179=74.643kg
mass of air occupied by helium=417*1.292=538.764kg
so buoyant mass=538.764-74.64=464.124kg
hence the balloon can lift a payload of 464.124kg of mass.

(b). What load can the balloon lift if filled with hydrogen?

mass of hydrogen=417*0.0899=37.48kg
mass of air occupied by helium=417*1.292=538.764kg
so buoyant mass=538.764-37.48=501.284kg
hence the balloon can lift a payload of 501.284kg of mass.

Hydrogen 8.99x10^-2 Helium 1.79x10^-1