  An impurity particle coupling to its host fluid via inelastic hard sphere
collisions is considered. It is shown that the exact equation for its
distribution function can be mapped onto that for an impurity with elastic
collisions and an effective mass. Application of this result to the
Enskog--Lorentz kinetic equation leads to several conclusions: 1) every
solution in the elastic case is equivalent to a class of solutions in the
granular case; 2) for an equilibrium host fluid the granular impurity
approaches equilibrium at a different temperature, with a dominant diffusive
mode at long times; 3) for a granular host fluid in its scaling state, the
granular impurity approaches the corresponding scaling solution.
