  We present 50 individual measurements of the gas temperature and turbulent
velocity in the local interstellar medium (LISM) within 100 pc. By comparing
the absorption line widths of many ions with different atomic masses, we can
satisfactorily discriminate between the two dominant broadening mechanisms,
thermal broadening, and macroscopic nonthermal, or turbulent, broadening. We
find that the successful use of this technique requires a measurement of a
light ion, such as DI, and an ion at least as heavy as MgII. However,
observations of more lines provides an important consistency check and can also
improve the precision and accuracy of the measurement. The weighted mean gas
temperature in the LISM warm clouds is 6680 K and the dispersion about the mean
is 1490 K. The weighted mean turbulent velocity is 2.24 km s^-1 and the
dispersion about the mean is 1.03 km s^-1. The ratio of the mean thermal
pressure to the mean turbulent pressure is P_T/P_xi ~ 26. Turbulent pressure in
LISM clouds cannot explain the difference in the apparent pressure imbalance
between warm LISM clouds and the surrounding hot gas of the Local Bubble.
Pressure equilibrium among the warm clouds may be the source of a moderately
negative correlation between temperature and turbulent velocity in these
clouds. However, significant variations in temperature and turbulent velocity
are observed. The turbulent motions in the warm partially ionized clouds of the
LISM are definitely subsonic, and the weighted mean turbulent Mach number for
clouds in the LISM is 0.19 with a dispersion of 0.11. (Abridged)
