Determine Moles of Gas in a Container

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SUMMARY

The discussion centers on calculating the number of moles of an ideal gas using the ideal gas law equation PV=nRT. Given a pressure of 2.50 atm, a volume of 1 m³ (1000 L), and a temperature of 30°C (303.15 K), the correct calculation yields approximately 101.3 moles, which is not listed among the provided options. The error in the initial attempt was due to incorrect unit conversions and not applying the ideal gas law correctly.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of unit conversions (atm to L, Celsius to Kelvin)
  • Familiarity with gas properties and behavior
  • Basic algebra for solving equations
NEXT STEPS
  • Review unit conversion techniques for pressure and volume
  • Practice solving ideal gas law problems with varying conditions
  • Explore the implications of temperature on gas behavior
  • Learn about real gas deviations from ideal behavior
USEFUL FOR

Students studying chemistry, particularly those focusing on gas laws, as well as educators looking to clarify concepts related to the ideal gas law and unit conversions.

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Homework Statement



10. An ideal gas in a container has a pressure of 2.50 atm and a volume of 1 m3 at a temperature of 30oC. How many moles of gas are in the container?

a. 20 moles
b. 45 moles
c. 62 moles
d. 83 moles
e. 100 moles

Homework Equations



PV=nRT

The Attempt at a Solution



2.5atm*1000L=n*8.134*303.15
n=1.01 moles

which is not in the options...what am I doing wrong??
 
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You must use the correct units for pressure, volume etc
 

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