P=0 at the top of the vertical tube. ### Determining the Height of Mercury in an Evacuated TubeAs shown in the figure below, mercury fills a reservoir and is subject to standard atmospheric pressure. The bottle of the tube is placed at the very top of the mercury level in the reservoir, ensuring it stays there at all times (so fluid is just shy of being displaced).#### Question:What is the height in **inches** the mercury reaches inside the evacuated tube? This calculation is essential for understanding where atmospheric pressure readings in inches of Hg come from. **Note:** This is not a "flow" problem; instead, you are finding the maximum height that the mercury reaches up the evacuated tube when flow is zero. Also, for thermodynamics reasons, the mercury is not allowed to evaporate.Given:\[ \rho_{Hg} = 13593 \, \text{kg/m}^3 \]\[ P_{atm} = 1.013 \times 10^5 \, \text{Pa} \]#### Instruction:**Show your work, making clear your use of energy density conservation!**#### Explanation of the Diagram:The diagram illustrates a vertical evacuated tube partially filled with mercury, which is in turn part of a larger reservoir also containing mercury. The height to which the mercury will rise in this tube is what we need to calculate.By using the concept of balance of pressure, we can determine the height \( h \) of the mercury column. The pressure exerted by the mercury column must equal atmospheric pressure:\[ P_{atm} = \rho g h \]Where:- \( P_{atm} \) is atmospheric pressure- \( \rho \) is the density of mercury- \( g \) is the acceleration due to gravity (9.81 m/s\(^2\))- \( h \) is the height of the mercury columnRearranging for \( h \):\[ h = \frac{P_{atm}}{{\rho g}} \]By substituting the given values into the equation, we can calculate the height \( h \). Finally, convert this height from meters to inches for the final answer.

Consider two point, one on the surface of the mercury outside the tube and other inside the tube.…

Answered: shown in the figure. Mercury fills a…

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