  We calculate the normal mass density of a paired Fermi gas at unitarity. The
dominant contribution near the superfluid transition is from fermionic
quasiparticle excitations, and is thus sensitive to the pairing gap. A
comparison with the recent experiment of Sidorenkov et al. suggests that the
superfluid gap near the transition temperature is larger than the BCS value,
but the data do not permit a quantitative inference of the gap. Calculations of
the quenched moment of inertia of a BCS superfluid in a harmonic trap are in
reasonable agreement with the earlier experiment of Riedl et al.
