Torricelli Barometer and atmospheric pressure

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SUMMARY

The discussion centers on calculating the outer pressure using a Torricelli barometer under varying temperatures. In Situation 1, at 20° C, the height of the mercury column is 0.760 m, corresponding to an outer pressure of 1 atm. In Situation 2, at 35° C, the height is 0.762 m, and the coefficient of thermal expansion is 18.2 x 10^-5 (°C)^-1. The incorrect approach used a simple proportion without accounting for thermal expansion, which is crucial for accurate pressure calculations.

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  • Understanding of Torricelli's principle
  • Knowledge of atmospheric pressure measurement
  • Familiarity with thermal expansion concepts
  • Basic algebra for solving proportions
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bznm
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Homework Statement


I have a Torricelli barometer column filled with mercury.
Situation 1: Temperature1 = 20° C. Height: 0,760 m. Outer pressure:1 atm.
Situation 2: Temperature2 = 35° C. Height: 0,762 m.
Coefficient of termic dilation in the interval (T1, T2): [itex]18,2<br /> *10^-5 (°C)^-1[/itex]

Find outer pressure in Situation 2.

2. The attempt at a solution
I used a proportion: [itex]1 atm : 0,760 m = x atm : 0,762 m[/itex]. But my result is wrong.
What would you do?
Thank you so much
 
Physics news on Phys.org
hi bznm! :smile:

how did you take account of the thermal expansion in your calculations?
 

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