1. First order systems and time constants = 0 sec) reading 72 deg F. Five seconds later it A temperature probe is initially (i.e., at time is immersed in a medium at 500 deg F. The time constant for this probe in that medium is known to be 1.5 seconds. a. Generate a plot of the probe's reading from time zero until the transient to 500 deg F can be considered complete. b. Now, using the plot from Part (a), pretend you do not know the time constant for the probe in that medium. Determine the time constant from the plot.