<p>The gas puff z-pinch device is used to investigate the dynamics of injected plasma by neutral particles; during the injection of the plasma by the neutral particles, the temperature is lowered and the plasma density is increased. The snowplow model is used to simulate the gas puff z-pinch device and estimate the gas puff pinch parameters. The model takes into account the radial compression, the reflected shock wave, and the expansion phases. The electric circuit and momentum equations are used and solved numerically by the model. Furthermore, the relationship between the kinetic pressure and the β factor, which ranges from 0 to 0.9, is studied in the model. The model demonstrates how increasing the β factor and injected neutral gas reduces temperature and velocity. The pinching time is increased with increasing the β factor and reduced with increasing the injection time.</p>