A weak shock theory is developed which allows for dense gas effects when the fundamental derivative of gas dynarnics, Γ , becomes small and possibly negative. The nonclassical behavior in these negative Γ regions has potential applications in turbomachinery design. The weak shock development results in a Burgers equation which is then solved numerically using the well-known MacCormack scheme. The results include the demonstration of many non-classical results such as expansion shocks, compression fans, shock-splitting and shock-fan combinations. Results are shown which could help improve turbine efficiency. / M.S.