Basic Monatomic Ideal Gas Speed/Temperature Relationship

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SUMMARY

The temperature of a monatomic ideal gas is directly proportional to the kinetic energy of its atoms. When the speed of every atom in the gas is doubled, the temperature increases by a factor of 4. This relationship is grounded in the principles of kinetic theory, which states that temperature is a measure of the average kinetic energy of particles in a substance.

PREREQUISITES
  • Understanding of kinetic theory of gases
  • Familiarity with the concept of temperature in thermodynamics
  • Basic knowledge of monatomic ideal gases
  • Proficiency in mathematical relationships involving proportionality
NEXT STEPS
  • Research the kinetic theory of gases and its implications on temperature
  • Study the mathematical derivation of temperature and kinetic energy relationships
  • Explore the behavior of different types of gases under varying conditions
  • Learn about the implications of temperature changes on gas laws
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Students of physics, educators teaching thermodynamics, and anyone interested in the properties of gases and their behavior under varying conditions.

jacksonpeeble
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What would happen to the temperature (in Kelvin) if the speed of every atom in a monatomic ideal gas were doubled (specifically, what multiplication factor would be used)?
 
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Temperature is proportional to the kinetic energy. If the speed of every atom doubles, the temperature would rise by a factor of 4.
 
Thanks, that makes sense.
 

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