Torricelli's barometer used mercury. Pascal d | vedclass

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Question

(A) The pressure exerted by a liquid column is given by $P = \rho gh$. For normal atmospheric pressure,the pressure exerted by the mercury column must

Vedclass · Accepted Answer

$10.5$

Vedclass · Answer

(A) The pressure exerted by a liquid column is given by $P = ho gh$. For normal atmospheric pressure,the pressure exerted by the mercury column must be equal to the pressure exerted by the French wine column. Let $ho_1$ and $h_1$ be the density and height of the mercury column,and $ho_2$ and $h_2$ be the density and height of the French wine column. Given: $ho_1 = 13.6 	imes 10^3 \; kg \; m^{-3}$,$h_1 = 0.76 \; m$,and $ho_2 = 984 \; kg \; m^{-3}$. Equating the pressures: $ho_1 g h_1 = ho_2 g h_2$. Thus,$h_2 = \frac{ho_1 h_1}{ho_2}$. Substituting the values: $h_2 = \frac{13.6 	imes 10^3 	imes 0.76}{984} \approx 10.5 \; m$. Therefore,the height of the French wine column is $10.5 \; m$.

Torricelli's barometer used mercury. Pascal duplicated it using French wine of density $984 \; kg \; m^{-3}$. Determine the height (in $m$) of the wine column for normal atmospheric pressure.

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