  We calculate the low temperature one-particle scattering rate and the
specific heat in a weakly disordered metal close to a quantum critical point.
To lowest order in the fluctuation potential, we obtain typical Fermi-liquid
results proportional to T^2 and T respectively, with prefactors which diverge
as a power law of the control parameter upon approaching the critical point.
The Kadowaki-Woods ratio is shown to be independent of the control parameter
only for the case of 3-D FM fluctuations. Our work is relevant for experiments
on CeCoIn$_5$ and Sr_3Ru_2O_7.
