Solutions to the energy-independent (gray) radiative transfer equation
s are compared to results of Monte Carlo simulations of the Ni-56 and
Co-56 radioactive decay gamma-ray energy deposition in supernovae. The
comparison shows that an effective, purely absorptive, gray opacity,
kappa(gamma), similar to (0.06 +/- 0.01)Y-e cm(2) g(-1), where Y-e is
the total number of electrons per baryon, accurately describes the int
eraction of gamma-rays with the cool supernova gas and the local gamma
-ray energy deposition within the gas. The nature of the gamma-ray int
eraction process (dominated by Compton scattering in the relativistic
regime) creates a weak dependence of kappa(gamma) on the optical thick
ness of the (spherically symmetric) supernova atmosphere: The maximum
value of kappa(gamma) applies during optically thick conditions when i
ndividual gamma-rays undergo multiple scattering encounters and the lo
wer bound is reached at the phase characterized by a total Thomson opt
ical depth to the center of the atmosphere tau(e) less than or similar
to 1. However, the constant asymptotic value, kappa(gamma) = 0.050Y(e
) cm(2) g(-1), reproduces the thermal light curve due to gamma-ray dep
osition for Type Ia supernova models to within 10% for the epoch from
maximum light to t = 1200 days. Our results quantitatively confirm tha
t the quick and efficient solution to the gray transfer problem provid
es an accurate representation of gamma-ray energy deposition for a bro
ad range of supernova conditions.