Reported values of the specific gamma-ray constant gamma for 182Ta range from the original value of 6.1 to 7.692 R cm2h-1mCi-1, recommended in NCRP Report No. 41. The original calculation of gamma was based on inadequate nuclear spectroscopy and decay scheme data. The higher value of gamma occurs because of a computational error in the relative intensity of the 1.2575-MeV gamma ray. Using nuclear spectroscopy data from the most recent Evaluated Nuclear Data File (ENSDF), gamma is calculated to be 6.71 +/- 0.06 R cm2h-1mCi-1 and the exposure rate constant gamma gamma is 6.87 +/- 0.06 R cm2h-1mCi-1. These new calculations are presented and previously reported values of gamma and gamma gamma are reviewed.