Summary

Gas pressure comes from atoms colliding with the wall and transferring momentum. P=\frac{F_{\perp}}{A}
Gas pressure exists throughout the gas, not just against the walls.
Temperature is average kinetic energy of atoms: K_{avg}=\frac{3}{2}k_BT
Boltzmann constant: k_B=1.380649*10^{-23} J*K^{-1}
Root-means-square speed links speed to kinetic energy: \frac{1}{2}mv_{rms}^2
K_{avg}=\frac{3}{2}k_BT=\frac{1}{2}mv_{rms}^2
v_{rms} rises with temperature.
Maxwell-Boltzmann Distribution shows spread of atomic speeds. Higher temperatures broaden the curve and increases the peak speed.
Temperature must be Kelvin to work.