You wish to observe the progress of your vacuum pump in evacuating a tall bell j

Question

You wish to observe the progress of your vacuum pump in evacuating a tall bell jar for the purpose of demonstrating that sound waves do not travel in a vacuum. So you place a mercury barometer inside the bell jar and follow the height of the mercury column as the pump chugs away. When you observe a height of 6.07 mm, what fraction of atmospheric pressure, expressed as a percentage, have you achieved in your bell jar? The density of mercury is 1.36 times 10^4 kg/m^3 and standard atmospheric pressure is 1.01 times 10^5 pa.

Explanation / Answer

(1.01 x 10^5 N/m^2) / (1.36 x 10^4 Kg/m^3 x 9.8) = 0.7578 m

then (6.07 x 10^-3 m) / 0.7578 m = 0.801%

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