👉 Atmospheric math involves the application of mathematical principles to understand and predict the behavior of gases and their interactions within Earth's atmosphere. It combines concepts from physics, chemistry, and mathematics to model phenomena such as temperature variations with altitude (temperature lapse rate), pressure changes with height (barometric formula), and the distribution of gases like water vapor and carbon dioxide. Key equations include the ideal gas law (PV=nRT), which relates pressure (P), volume (V), temperature (T), and the amount of gas (n) to its density (ρ), and the barometric formula derived from the hydrostatic equation and ideal gas law, which describes how atmospheric pressure decreases with altitude. These mathematical models are crucial for weather forecasting, climate studies, and understanding atmospheric dynamics.