Several years ago, for the mini$-$project, the CHEE$2695$ class was tasked to control the temperature rise of water

contained in a can exposed to a high temperature heat lamp for a $5$ minute period.

One group devised an arrangement where a blocking device could be automatically lowered into place after a set time

period. The water in the can $($standard soft$-$drink can, dimensions below$)$ was well stirred before final temperature was

measured, giving it a uniform temperature distribution after the exposure time. The starting temperature of the can

contents were seen to change each time it was collected from a poorly regulated cooled drinking fountain. Data was

collected during the testing period for temperature change over varying time of exposure as shown below:

Exactly how long $($minutes and seconds$)$ should the can be exposed to the heat lamp to achieve a final temperature of

$30C$ if the starting temperature on test day was $15C?$ Don't worry about radiative transfer $-$ assume that the heat

lamp simply raises the ambient temperature.