Starburst galaxies are predicted to drive hot flows of gas from their
central star-forming regions, and to test this expectation, a deep X-r
ay image was obtained of the nearby starburst galaxy M82 with the High
-Resolution Imager on the X-ray telescope ROSAT. Aside from three nucl
ear point sources, the flux is dominated by diffuse emission that we d
ecompose into components along the disk and along the minor axis. The
X-ray surface brightness of the disk component decreases exponentially
with a scale length of 0.27 kpc, as does the optical line emission fr
om warm ionized gas. This is not due to steady outflow of gas along th
e plane, but may indicate a rapid decrease in the star formation and e
nergy input rate beyond the nuclear region. The X-ray emission along t
he minor axis is consistent with the outflow of gas in a jet that is p
artially confined within 1.6 kpc of the nucleus and expands freely at
larger radii; this emission is detected to a distance of 6 kpc. In the
center of M82, the hot gas density is 0.2-0.5 cm(-3) and the central
gas pressure is P/k approximate to 0.3-3 x 10(7) K cm(-3), which is si
milar to estimates of the pressure in the optical emission-line materi
al and molecular gas.