R is the constant in the ideal gas law.

Click For Summary
SUMMARY

The ideal gas law is expressed as PV = NkT, where R is the constant that relates pressure (P), volume (V), number of particles (N), temperature (T), and Boltzmann's constant (k). The derivation involves combining the gas laws, specifically the relationships P/T = constant and V/T = constant. Additionally, Avogadro's law plays a crucial role in establishing that PV/T = C, where C represents the volume per mole (V/n). Understanding these relationships is essential for deriving the ideal gas law accurately.

PREREQUISITES
  • Understanding of the ideal gas law and its components (P, V, T, N)
  • Familiarity with Newton's laws of motion
  • Knowledge of Avogadro's law
  • Basic grasp of thermodynamic principles
NEXT STEPS
  • Study the derivation of the ideal gas law from the combined gas laws
  • Explore the implications of Avogadro's law on gas behavior
  • Learn about Boltzmann's constant and its role in statistical mechanics
  • Investigate real gas behavior and deviations from the ideal gas law
USEFUL FOR

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

the whizz
Messages
32
Reaction score
0

Homework Statement


i need to derive the ideal gas law


Homework Equations


this is the equation to end with.

PV=NkT


The Attempt at a Solution



I am not entirely sure where to start with this derivation. I believe Newton laws.

where your going to have Fx= Px/t

anyone guidance on where to get started on this equation.
 
Physics news on Phys.org


I think you need to start with the gas laws stating that

\frac{P}{T}=Constant

\frac{V}{T}=constant

PV=constant.Since the ideal gas law is a combination of those three laws.
 


would this be the constant called k...in the final equation.??

so P = Tk and V = Tk
 


Also you need to use Avogadro's law as welltry to prove that PV/T=C

Where C=V/n
 
Last edited:

Similar threads

  • · Replies 33 ·
2
Replies
33
Views
2K
  • · Replies 3 ·
Replies
3
Views
10K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
914
Replies
16
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
14
Views
2K