A barometer tube,containing mercury,is lowere | vedclass

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(A) The atmospheric pressure is $P_{atm} = 75 \, cm$ of $Hg$.Since the tube is only $50 \, cm$ above the mercury level,the mercury column inside the t

Vedclass · Accepted Answer

$33.3 \, kPa$

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(A) The atmospheric pressure is $P_{atm} = 75 \, cm$ of $Hg$.Since the tube is only $50 \, cm$ above the mercury level,the mercury column inside the tube is $50 \, cm$ high.The pressure at the top of the tube $(P_{top})$ plus the pressure due to the $50 \, cm$ mercury column must equal the atmospheric pressure.$P_{top} + 50 \, cm \, Hg = 75 \, cm \, Hg$.$P_{top} = 75 \, cm - 50 \, cm = 25 \, cm$ of $Hg$.To convert $25 \, cm$ of $Hg$ to $kPa$,we use the relation $76 \, cm \, Hg \approx 101.3 \, kPa$.$P_{top} = (25 / 76) 	imes 101.3 \, kPa \approx 33.3 \, kPa$.

$A$ barometer tube,containing mercury,is lowered in a vessel containing mercury until only $50 \, cm$ of the tube is above the level of mercury in the vessel. If the atmospheric pressure is $75 \, cm$ of mercury,what is the pressure at the top of the tube?

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