An empty storage tank has a volume of 1,530 ft3. What is the buoyant force exerted on it by the air? (Assume the air is at 0°C and 1 atm.)

Question

i couldnt solve the answer. i tried to follow the other answer's solving but it didnt come out can you give me the full answer?

Answer 1

The bouyant force is the weight of the air that takes up that volume. First, let's use metric units:

1530 ft³(1³ m³/(3.28084³ft³) = 43.325 m³

The density of air at STP: ρ = MP/RT with M of air as approximately 29.0 g/mole) (combination of Nitrogen and oxygen in proportion)

ρ = 29 g/mole (1 atm)/(.0821*273.15 K) = 1.293 g/liter = 1.293 kg/m³

Strictly we should find the weight ρVg in Newtons and convert to pounds, but we can find the number of kg and convert to pounds (ok as long as earth gravity applies)

1.293 kg/m³(43.325 m³)(1 lb/ .4536 kg) = pounds of bouyant force.

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