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A barometer tube is 1 m long and 2cm^(2)...

A barometer tube is `1 m` long and `2cm^(2)` in cross section. Mercury stands to a height of `75cm` in the tube. When a small amount of oxygen is introduced in the space above the mercury level, the level falls by `5cm`. Calculate the mass of the oxygen is introduced. Room temperature=`27^(@)C`,` g=10 m s^(-2)` and density of mercury =`13600kg m^(-3)`.

Text Solution

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Volume of oxygen
`V=2xx(100-65)xx10^(-6)=70xx10^(-6)m^(3)`
Pressure of oxygen, `P=rhogh`
= `(13.6xx10^(3))(10)(10xx10^(-2))=13,600Nm^(-2)`
Temperature of oxygen T = 300 K,
`therefore` mass of oxygen,
`m=(PVM)/(RT)=(13,600xx70xx10^(-6)xx32xx10^(-3))/(8.3xx300)=0.012gm`
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