- #1
yucheng
- 232
- 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...