In the classical kinetic theory of gases, molecules are assumed to be point particles ( of rigid shapes) in motion. Assume the average kinetic energy of the molecules to be ${3\over 2} kT$. Using the uncertainty principle, estimate the minimum uncertainty in position of a molecule. Compare this with average molecular distance for a gas of density $\rho$ ( $\rho=N/V$ , $N=$ number of molecules and $V=$ volume ) When do the quantum mechanical effects become significant ? Estimate this temperature for (a) He gas at normal pressure (b) an electron gas at density of $2.5 \times 10^{22} $ electrons/cc.
Exclude node summary :
Exclude node links:
4727:Diamond Point