  We report on a search for the pair production of scalar leptoquarks, $LQ$,
using 191 pb$^{-1}$ of proton-antiproton collision data recorded by the CDF
experiment during Run II of the Tevatron. The leptoquarks are sought via their
decay into a neutrino and quark yielding missing transverse energy and several
jets of large transverse energy. No evidence for leptoquark production is
observed, and limits are set on $\sigma(p\bar p\to LQ\bar{LQ} X \to \nu\bar\nu
q\bar q X)$. Using a next-to-leading order theoretical prediction of the cross
section for scalar leptoquark production, we exclude first-generation
leptoquarks in the mass interval 78 to 117 GeV$/c^2$ at the 95% confidence
level for BR($LQ\to \nu q)=100%$.
