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

ID: 249273 • Letter: Y

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 8.49 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

height of mercury column for atmospheric pressure = 1.01 x 10^5 /(1.36 x 10^4 x 9.8)=0.7578 m = 757.8 mm

now % of atmospheric pressure = (8.49 /757.8) x 100= 1.12%

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