We describe the results of a 2003 Chandra ACIS-I observation of SN 1978K . The spectrum shows little flux below 0.6 keV , in contrast to the 2002 Chandra ACIS-S observation which showed flux to 0.4 keV . Fitting the ACIS-I spectrum alone leads to two solutions depending upon the value of the column density . A joint fit using a dual thermal plasma model applied to the ACIS-I and a contemporaneous XMM spectrum , which if fit alone also leads to a two-column solution , yields a single column density fit . The fitted temperature of the joint fit for the soft component remains constant within the errors from previous Chandra , XMM , and ASCA data . The hard temperature recovers from its 2000-2002 decline and corresponds to an increase in the column density during that time . The hard ( 2-10 keV ) light curve is confirmed to be declining . The derived number density represents a lower limit of \sim 10 ^ { 5 } depending upon the adopted filling factor of the emitting volume , leading to an estimated mass cooling rate of \sim 0.1-0.15 M _ { \odot } yr ^ { -1 } .