The one-dimensional conservation equations describing the gas transport, coupled with the multi-temperature model rate equations describing the molecular kinetics, have been solved numerically in the case of a transverse-flow, transverse-discharge carbon dioxide laser. The influence on the gain distribution and output power of the discharge power, flow velocity, cavity position, output coupling and carbon dioxide content has been investigated both numerically and experimentally. Typical results are presented. Using empirically derived current distributions, good agreement is obtained between theory and experiment if provision is made for the effects of changes in gas chemistry in the discharge. The model has proved a useful tool for optimising performance of the laser in terms of power output, efficiency and beam quality.