Gas Pressure in Open-End U-Tube Manometer

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SUMMARY

The pressure in a gas container connected to an open-end U-tube manometer is calculated by adjusting the atmospheric pressure based on the difference in mercury levels. In the first scenario, with an atmospheric pressure of 752 torr and a mercury level difference of 8.60 cm (converted to 86.0 mm Hg), the gas pressure is determined to be 666 mm Hg. In the second scenario, with an atmospheric pressure of 745 mm Hg and a mercury level difference of 25 mm Hg, the gas pressure is calculated to be 720 mm Hg. These calculations confirm the correct application of manometer principles.

PREREQUISITES
  • Understanding of U-tube manometer principles
  • Knowledge of pressure units (torr and mm Hg)
  • Ability to convert between centimeters and millimeters
  • Familiarity with basic gas laws
NEXT STEPS
  • Study the principles of hydrostatic pressure in fluids
  • Learn about the applications of manometers in various gas pressure measurements
  • Explore the differences between open-end and closed-end manometers
  • Investigate the effects of temperature on gas pressure measurements
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Students in physics or engineering, laboratory technicians, and professionals involved in pressure measurement and fluid dynamics will benefit from this discussion.

Soaring Crane
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1) What is the pressure in a gas container that is connected to an open-end U-tube manometer if the pressure of the atmosphere is 752 torr and the level of mercury in the arm connected to the container is 8.60 cm higher than the level of mercury open to the atmosphere?

a. 666 mm Hg
b. 838 mm Hg
c. 761 mm Hg
d. 743 mm Hg

Convert difference in Hg height's to mm, so 8.60 cm = 86.0 mm Hg?
Now 752 torr = 752 mm Hg. Since Hg's height is higher on gas container's side, it is 752 mm Hg - 86 mm Hg = 666 mm Hg??


2) What is the pressure (in mm Hg) of the gas inside the above apparatus (that is, the Hg height is higher than the Hg level open to the atmosphere) if the outside pressure, P_atm, is 745 mm Hg and the difference in mercury levels,delta h, is 25 mm Hg?

a. 25 mm Hg
b. 720 mm Hg
c. 745 mm Hg
d. 770 mm Hg

745 - 25 mm Hg = 720 mm Hg?

Thank you.
 
Last edited:
Physics news on Phys.org
Seems to be correct.
 

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