  Motivated by the recent experimental progresses in the study of p-wave
resonant Fermi gas, we investigate the normal state properties of such a gas
close to a p-wave scattering resonance. We calculate the universal equation of
state and the two p-wave contacts which characterise the universal properties
of the system, in good agreement with experiments. Our calculation takes
explicit account of the effective range correction and obtains the superfluid
transition temperature $T_c$ within Nozi\`eres-Schmitt-Rink (NSR) scheme, and
shows that it lies within experimental reach. We derive analytic expression for
$T_c$ in the weak coupling limit and show explicitly the non-perturbative
nature of the effective range corrections.
