The formula for Newton's Law of Cooling is expressed as T = T0e-kt + Troom. In this equation, T represents the temperature at time t, T0 is the initial temperature, k is a positive constant, and Troom is the ambient temperature. It is established that T can never equal zero, as the exponential term e-kt remains positive. If T is set to zero, the equation can be manipulated to find conditions under which either T0 or Troom is negative, but not both, particularly when temperatures are measured in Celsius or Fahrenheit.
PREREQUISITESStudents studying physics or thermodynamics, educators teaching heat transfer concepts, and anyone interested in mathematical modeling of cooling processes.
