An ideal gas is enclosed in a cylindrical storage canister of radius rrr and height h=2rh = 2rh=2r. The gas consists of NNN molecules, each having a mass mmm.
If the root-mean-square speed of the molecules is crmsc_{\text{rms}}crms, which of the following expressions represents the pressure ppp exerted by the gas on the walls of the canister?
mN2πr3crms2\frac{mN}{2\pi r^3} c_{\text{rms}}^22πr3mNcrms2
mN6πr3crms2\frac{mN}{6\pi r^3} c_{\text{rms}}^26πr3mNcrms2
mN3πr3crms2\frac{mN}{3\pi r^3} c_{\text{rms}}^23πr3mNcrms2
mN18πr3crms2\frac{mN}{18\pi r^3} c_{\text{rms}}^218πr3mNcrms2
