Vacume technology at pressure;molecules in amount of volume

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SUMMARY

Current vacuum technology can achieve a pressure of 1.0 x 10-10 mm of Hg. At this pressure and a temperature of 40.0 degrees Celsius, the number of molecules in a volume of 4.00 cm3 can be calculated using the ideal gas law equation p=nRT/V. The discussion clarifies that while Pascal is the SI unit for pressure, millimeters of mercury (mmHg) is still commonly used in certain contexts, particularly in the United States for barometric pressure.

PREREQUISITES
  • Understanding of the ideal gas law (p=nRT/V)
  • Familiarity with pressure units, specifically mmHg and Pascal
  • Basic knowledge of temperature conversion and its impact on gas behavior
  • Ability to perform unit conversions between mmHg and Pascal
NEXT STEPS
  • Research the ideal gas law applications in real-world scenarios
  • Learn about the conversion between mmHg and Pascal for pressure measurements
  • Explore the implications of temperature on gas volume and pressure
  • Investigate modern vacuum technologies and their pressure capabilities
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Students studying physics or chemistry, engineers working with vacuum systems, and anyone interested in the principles of gas behavior under varying pressure and temperature conditions.

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Homework Statement


Current vacuum technology can achieve a pressure of 1.0 x10-10mm of Hg. At this pressure, and at a temperature of 40.0 degrees C, how many molecules are in 4.00cm3?


Homework Equations


p=nRT/V


The Attempt at a Solution


I would attempt this but I don't see how mm of hg would be considered a pressure... Doesn't that mean millimeters of Mercury?? How is that considered a pressure? My book doesn't explain this. Shouldn't it be in pascal?
 
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Mugen112 said:
I would attempt this but I don't see how mm of hg would be considered a pressure... Doesn't that mean millimeters of Mercury?? How is that considered a pressure? My book doesn't explain this. Shouldn't it be in pascal?

Hi Mugen112! :smile:

Pascal is an SI unit, but not everyone uses SI for everything. :rolleyes:

See http://en.wikipedia.org/wiki/Inch_of_mercury: :smile:
Inches of mercury, inHg or "Hg is a measuring unit for pressure. It is still widely used for barometric pressure in weather reports and aviation in the United States, but is considered somewhat outdated elsewhere.

It is defined as the pressure exerted by a column of mercury of 1 inch in height at 32 °F (0 °C) at the standard acceleration of gravity.

1 inHg = 3,386.389 pascals at 0 °C.

(and you can convert from inHg to mmHg! :wink:)
 

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