1) Consider a typical adult weighing 166.0 lb and possessing a density of 999.0

Question

1) Consider a typical adult weighing 166.0 lb and possessing a density of 999.0 kg/m3. How low will the chamber need to drop in pressure at minimum to measure the person's density if the weight scale can only measure to the nearest 0.20 lb? (Assume air is an ideal gas and the chamber is maintained at standard temperature as the air is evacuated. The density of air at sea level is roughly 1.22 kg/m3.)

Here's how: The person in the figure is standing on a weight scale in a sealed chamber. Initially the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his weight before (w1) and after (w2) the chamber is evacuated. Use d1 and d2 for the density of the air before and after the chamber is evacuated.)

Explanation / Answer

52.24 m/s2

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