Natural ventilation of buildings in warm and windless summer nights is a challenging task for any designer requiring knowledge of the quantitative performance of the tool used. This work develops a method dealing with the calculation of air exchange rates of naturally ventilated spaces that a solar chimney could provide during summer nights. Thus, a vertical and massive Solar Chimney (SC), is studied having a uniform air core of rectangular cross-section with the greater axis along the N-S direction, with the E, S, and W (concrete) walls painted black and covered by a single-pane glass 5.0 cm far apart, while the N wall is thermally insulated by a 5.0 cm layer of weather protected glass wool. Solar energy stored as heat in the massive walls during the day, is dissipated at night when the duct dampers are opened permitting the updraft movement of warm indoor air enhanced by the buoyancy forces created when core air is heated by the warmer duct wall surfaces, while, at the same time, heat is being lost to the environment by convection and radiation. SC's thermal slate at a typical summer day's end is calculated by an energy simulation design software tool using hourly climatic data for Athens. Finally, SC's night dynamic performance is explained through a heat transfer mechanism, eventually, leading to determining the transient, wall, air temperatures, and air flow rates. As it is shown, between 100 m3/h and 200 m3/h of air per meter length of SC could be ventilated from a room during a typical July night.