A blimp is filled with 200 m³ of helium. How much mass can the balloon lift? The density of helium is one-seventh that of air, and the density of air is 1/800 that of water. Consider the mass of the balloon to be negligible. A) 115 kg B) 214 kg C) 315 kg D) 415 kg E) 37 kg

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Quizplus · Accepted Answer

First, we need to find the volume of the blimp using the given mass of helium and the density of helium: Density of helium = 1/7 * Density of air Density of air = 1/800 * Density of water Density of helium = 1/7 * (1/800 * Density of water) Density of helium = 1/5600 * Density of water Mass of helium = Density of helium * Volume of blimp Volume of blimp = Mass of helium / Density of helium Volume of blimp = 200 m³ / (1/5600 * Density of water) Volume of blimp = 200 m³ * 5600 / Density of water Volume of blimp = 1,120,000 m³ / Density of water Now, we need to find the mass of air that the blimp displaces to determine the lift: Mass of air = Density of air * Volume of blimp Mass of air = (1/800 * Density of water) * (1,120,000 m³ / Density of water) Mass of air = 1400 kg Finally, we can find the lift by subtracting the mass of air from the mass of helium: Lift = Mass of helium - Mass of air Lift = 200 m³ - 1400 kg Lift = 214 kg Therefore, the best choice is B, which is the closest to the calculated lift of 214 kg.

A Blimp Is Filled with 200 M3 of Helium

A Blimp Is Filled with 200 M³ of Helium