1. The problem statement, all variables and given/known data Would it be possible for a changing ambient air temperature profile (e.g. 30ºC for X hours immediately changing to 35ºC for Y hours immediately changing to 25ºC for Z hours) to effect a certain mass and result in a temperature change EQUAL to a separate, constant ambient air temperature effecting a similar mass? 2. Relevant equations Not sure... Other than total time of profile 2 = X+Y+Z hours (from profile 1) 3. The attempt at a solution I thought I could integrate the initial temperature profile, find the area under the curve, and create a similar area with a constant temperature rectangle with temperature = height on Y axis and time of the profile being length on the x axis which would be equal to the total time of the original ambient air profile. I'm not sure if this corresponds directly to temperature change of the mass, but logically it makes sense. I might be able to clarify more, but that's the question which was posed.