Ideal Gas Law: Solve 1.0x10-6 mmHg @ 40°C

Click For Summary
SUMMARY

The discussion centers on applying the Ideal Gas Law (PV=nRT) to calculate the number of molecules in a volume of 1.00 cm³ at a pressure of 1.0x10-6 mmHg and a temperature of 40°C. Participants emphasize the necessity of converting temperature to Kelvin and volume to cubic meters for accurate calculations. The conversion from mmHg to Pascals is also highlighted as a critical step in solving the problem. The correct application of these conversions leads to a valid solution for the number of gas molecules present.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of unit conversions (mmHg to Pa, cm³ to m³)
  • Basic thermodynamics principles, particularly gas behavior
  • Familiarity with temperature conversion from Celsius to Kelvin
NEXT STEPS
  • Learn about unit conversions in gas calculations, specifically mmHg to Pascals
  • Study the Ideal Gas Law applications in various conditions
  • Explore the concept of Avogadro's number and its relevance to gas molecules
  • Investigate the effects of temperature and pressure on gas volume
USEFUL FOR

Students in chemistry or physics, educators teaching gas laws, and anyone interested in understanding the behavior of gases under varying conditions.

G4PHYSICS
Messages
1
Reaction score
0

Homework Statement



Current vacuum technology can achieve a pressure of 1.0x10-6 mm of Hg. At this pressure, and at a temperature of 40.0 C, how many molecules are in 1.00cm3 ?


2. Homework Equations [/b


pv=nrt

The Attempt at a Solution

i solved it using the ideal gas equation and got a very large n value,after converting from mmHg to Pa? would that be the correct procedure?
 
Physics news on Phys.org
Please show your attempt at solving the problem.
 
quick few hints to doing this if your getting odd answers. a) temp needs to be converted to kelvin and b) the 1cm^3 needs to be correctly converted into m^3
 

Similar threads

Ideal Gas Law and Pressure at 80°C
  • · Replies 2 ·
Replies
2
Views
3K
Relationship between pressure & chem potential in ideal gas
  • · Replies 5 ·
Replies
5
Views
2K
The Pressure of a Photon Gas: A Derivation Using the Ideal Gas Law
  • · Replies 6 ·
Replies
6
Views
5K
Chemistry Derivations in adiabatic process for ideal gas with C_V and C_P
  • · Replies 1 ·
Replies
1
Views
2K
Predicting Remaining Pressure in Compressed Gas Cylinder
  • · Replies 3 ·
Replies
3
Views
3K
Chemistry To determine variables in adiabatic reversible process do we need to look up heat capacity?
  • · Replies 1 ·
Replies
1
Views
2K
Calculations using the Ideal Gas Law
  • · Replies 2 ·
Replies
2
Views
2K
Ideal gas temperature and 2nd law TD
  • · Replies 2 ·
Replies
2
Views
2K
How Does the Multiplicity of a Classical Gas Relate to Ideal Gas Conditions?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Thermodynamics and ideal gas law concepts
  • · Replies 14 ·
Replies
14
Views
2K