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Now, regarding Toricelli’s barometer, it's a classic experiment in physics where a column of liquid in a tube balances the weight of the atmosphere pushing down on a reservoir of the liquid. In the traditional experiment, mercury is used due to its high density. However, Pascal famously duplicated the experiment using French wine, which has a density of 984 kg/m³.
To determine the height of the wine column for normal atmospheric pressure, we can use the equation:
P=ρ⋅g⋅hP=ρ⋅g⋅h
Where:
We need to rearrange the equation to solve for hh:
h=Pρ⋅gh=ρ⋅gP
Substituting the values:
h=1.013×105 Pa984 kg/m3×9.81 m/s2h=984kg/m3×9.81m/s21.013×105Pa
h≈1.013×105984×9.81 mh≈984×9.811.013×105m
h≈1.013×1059645.84 mh≈9645.841.013×105m
h≈10.5 mh≈10.5m
So, the height of the wine column for normal atmospheric pressure would be approximately 10.5 meters. If you have any further questions or need clarification on any point, feel free to ask!
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