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28-12-2019
Physics

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Alcohol has a specific gravity of .79. If a barometer consisting of an open-ended tube placed in a dish of alcohol is used at sea level, to what height in the tube will the alcohol rise?

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28-12-2019

Answer:13.08 m

Explanation:

Given

Specific Gravity of Alcohol [tex]\rho _{Alcohol}=0.79[/tex]

The Pressure Exerted by air at the top of Alcohol must be Equal to the column of liquid in Equilibrium. Thus [tex]P_{atm}[/tex] is given by

[tex]P_{atm}=\rho _{Alcohol}gh[/tex]

where h=height of column

Considering [tex]P_{atm}=101.325 kPa[/tex]

Thus

[tex]101.325=0.79\times 10^3\times 9.8\times h[/tex]

[tex]h=13.087 m[/tex]

Thus Height of Column is 13.08 m

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