An ideal gas consisting of NNN molecules, each of mass mmm, is confined within a cylindrical storage tank of radius RRR and height h=3Rh = 3Rh=3R.
Which of the following expressions correctly gives the pressure ppp exerted by the gas on the walls of the tank in terms of the root-mean-square speed crmsc_{\text{rms}}crms?
mN3πR3crms2\frac{mN}{3\pi R^3} {c_{\text{rms}}}^23πR3mNcrms2
mN9πR3crms2\frac{mN}{9\pi R^3} {c_{\text{rms}}}^29πR3mNcrms2
mN27πR3crms2\frac{mN}{27\pi R^3} {c_{\text{rms}}}^227πR3mNcrms2
3mNπR3crms2\frac{3mN}{\pi R^3} {c_{\text{rms}}}^2πR33mNcrms2
