Boyles Law: Pressure, Volume & Units Explained

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SUMMARY

This discussion focuses on Boyle's Law, specifically the relationship between pressure and volume in a gas. The initial pressure is given as 20 kPa (gauge) and the final pressure as 120 kPa, with an initial volume of 47 volumetric units. The barometric pressure is noted as 762 mm Hg, which is equivalent to 101.325 kPa. The term "gauge" indicates that the pressure measurement excludes atmospheric pressure, and the discussion clarifies that volumetric units can vary, as only the ratio of volumes is crucial in Boyle's Law calculations.

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  • Familiarity with pressure units, specifically kPa and mm Hg
  • Basic knowledge of gauge pressure versus absolute pressure
  • Concept of volumetric units in physics and their significance
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optrix
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Hi, I'm doing a question about Boyles law, and I don't understand some of the units they are giving.

Initial pressure = 20kN/m^2 (gauge) = 20kPa (gauge)
Initial volume = 47 volumetric units

Final pressure = 120kN/m^2 = 120kPa
Final volume = ?

(The barometric pressure was 762mm Hg)

I don't understand the units 762 mm Hg, and why they say (gauge) in brackets. I think it has something to do with a manometer, but I'm only used to working with Pa so far.

I'm guessing volumetric units could be anything, because the units probably cancel out when you put them into the equation, so only the ratio between the initial and final volumes is significant?

Thanks
 
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I don't know about gauge, but 1 mm Hg indicates pressure exerted by pure and dry liquid mercury of 1mm high in a tube at 273Kelvin temperature. That tube is to be placed on 45 degree latitude of sea level.

101.325 kPa = 760 mm Hg pressure. It means that mercury column of 760 mm high will exert that much pressure under those above stated conditions. It's just describing pressure in term of the height of mercury column in the tube, nothing else.
 
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