In this talk we show how the small object argument, familiar in the
study of model categories, is an useful tool to produce cotorsion pairs
in exact categories (in the sense of Quillen). We then particularize to
the case of a Frobenius exact category, showing that there is a
one-to-one correspondence between (complete) cotorsion pairs in it and
Hom-orthogonal pairs in its stable category (giving rise to
distinguished triangles).