R is the constant in the ideal gas law.

In summary, to derive the ideal gas law, one can start with the gas laws stating that pressure over temperature and volume over temperature are constant. This can be combined with the Avogadro's law to get PV/T=C, where C=V/n. The final equation for the ideal gas law is PV=NkT, where N is the number of moles and k is a constant. Using Newton's laws, one can also establish the relationship between force and pressure, as well as volume and temperature. By manipulating these equations, one can arrive at the ideal gas law.
  • #1
the whizz
32
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.
 
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  • #2


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

[tex]\frac{P}{T}=Constant[/tex]

[tex]\frac{V}{T}=constant[/tex]

PV=constant.Since the ideal gas law is a combination of those three laws.
 
  • #3


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

so P = Tk and V = Tk
 
  • #4


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

Where C=V/n
 
Last edited:

1. What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between pressure, volume, temperature, and the number of moles of a gas. It is written as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

2. How is the ideal gas law derived?

The ideal gas law is derived from the combined gas law, which states that the product of pressure and volume is directly proportional to the product of temperature and the number of moles. By rearranging this equation and introducing the gas constant, we arrive at the ideal gas law.

3. What are the assumptions made in the ideal gas law?

The ideal gas law assumes that the gas molecules have negligible volume and do not interact with each other. It also assumes that the gas behaves in a linear manner with respect to pressure, volume, and temperature.

4. In what situations can the ideal gas law be applied?

The ideal gas law can be applied to most gases at low pressures and high temperatures. It is most accurate for monatomic gases (such as helium or neon) and becomes less accurate for larger, more complex molecules.

5. What are the units of the gas constant in the ideal gas law?

The units of the gas constant (R) in the ideal gas law depend on the units used for pressure, volume, and temperature. In SI units, R is expressed as 8.314 joules per mole-kelvin (J/mol·K). In imperial units, R is expressed as 0.0821 liter·atm/mol·K.

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