- #1

yucheng

- 207

- 57

- Homework Statement:
- The characteristic size (length) of ideal gas where quantum effects are non-negligible is the intermolecular distance, ##d##

- Relevant Equations:
- ##pV = Nk_BT##

intermolecular distance means distance between particles. So, I imagine a sphere.

$$\frac{4}{3} \pi d^3 = \frac{V}{N}$$

However, Griffitfhs pictures a box instead, where

$$d^3 = \frac{V}{N}$$

And the difference between both models is a factor of ##(4\pi/3)^{2/5} \approx 1.8##, which is fairly large...

$$\frac{4}{3} \pi d^3 = \frac{V}{N}$$

However, Griffitfhs pictures a box instead, where

$$d^3 = \frac{V}{N}$$

And the difference between both models is a factor of ##(4\pi/3)^{2/5} \approx 1.8##, which is fairly large...