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The reading in a barometer changes from ...

The reading in a barometer changes from 75 cmHg to 25 cmHg when `10 cm^3` of air of atmospheric pressure is introduced in the vaccum space of the barometer tube. What is the volume of air in the tube?

Text Solution

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Pressure of confined air=75-25=50 cmHg.
Initial volume of air `V_1=10 cm^3` and initial pressure `p_1=75 cmHg`
Final volume of air =`V_2 cm^3` and final pressure `p_2= 50 cmHg`
Using Boyle.s law `p_1V_1=p_2V_2` we get
`V_2=(p_1V_1)/p_2=(75times10)/50=15`
So the volume occupied by the air inside the barometer is `15 cm^3`.
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