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A bulb filled with a gas is connected to...

A bulb filled with a gas is connected to an open -end manometer. the level of mercury in the arm attached to the gas bulb is 20 cm lower than that in the open. end arm, calculate the pressure of the gas in the bulb in the units of atm and Pa? Consider the atmospheric pressure to be 76 cm Hg.

Text Solution

Verified by Experts

Since the height of the mercury level in the open-end arm is higher than that in the arm attached to the bulb.
`P_(gas)=P_(atm)+h=(76+20)cm" "Hg=96` cm Hg
`[because h=20cm,P_(atm)=76" cm Hg"]`
As 1 atm=76 cm Hg=`1.013xx10^(5)Pa`,
96 cm Hg=`(1"atm")/(76" cm Hg")xx96" cm Hg"=1.26atm`
`=1.26xx1.013xx10^(5)pa=1.28xx10^(5)Pa`
Thus, the pressure of the gas in the bulb
`=1.26atm=1.28xx10^(5)Pa`
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