What Is the Constant in Boyle's Law and Combined Gas Law?

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SUMMARY

The discussion clarifies the concept of constants in Boyle's Law and the Combined Gas Law. Boyle's Law is defined by the equation pV = constant, indicating that pressure (P) and volume (V) of an ideal gas are inversely proportional at a fixed temperature. In contrast, the Combined Gas Law incorporates the ideal gas constant (R) and Boltzmann's constant (k), expressed as pV = nRT = NkT, where R is related to k and Avogadro's number. Understanding these constants is crucial for studying gas behavior under varying conditions.

PREREQUISITES
  • Understanding of Boyle's Law and its equation pV = constant
  • Familiarity with the Combined Gas Law and its formulation pV = nRT = NkT
  • Knowledge of ideal gas constants, specifically R and k
  • Basic principles of thermodynamics and gas behavior
NEXT STEPS
  • Research the derivation and applications of Boyle's Law
  • Study the Combined Gas Law and its implications in real-world scenarios
  • Explore the significance of the ideal gas constant (R) and Boltzmann's constant (k)
  • Examine the relationship between gas laws and thermodynamic principles
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Students of physics and chemistry, educators teaching gas laws, and anyone interested in the behavior of gases under varying conditions.

Mattmiles
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I am doing a bit of self study and background reading and was wondering if anyone could explain what the Constant is in Boyles Law and in the constant in the Combined Gas Law? Following on from that, what is the significance of the Constant? Does air have a particular constant for Boyles Law and and particular constant for the Combined Gas Law?

Any help would be much appreciated.

Matt
 
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In the Boyle's law part of the question... Boyle's law is just pV = constant. Are you referring to that constant? It just says that: For a fixed amount of an ideal gas kept at a fixed temperature, P [pressure] and V [volume] are inversely proportional (while one doubles, the other halves).

For the combined gas law, the ideal gas constant, R (or the Boltzmann's constant, k) are just that, constants. This constant is different from the constant in Boyle's law, since this one can give you more information. In this case, pV = nRT = NkT.
And R = k times Avogadro's number (number of particles in one mole of particle)

You can actually learn about all these just from wikipedia.
 

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