On the night of April 14, 1912, the British passenger liner RMSTitanic collided with an iceberg and sank in the North AtlanticOcean. The ship lacked enough lifeboats to accommodate all of thepassengers, and many of them died from hypothermia in the cold seawaters. Hypothermia is the condition in which the temperature of ahuman body drops below normal operating levels (around 36oC). Whenthe core body temperature drops below 28oC, the hypothermia is saidto have become severe: major organs shut down and eventually theheart stops.

If the water temperature that night was ?2oC, how long did ittake for passengers of the Titanic to enter severe hypothermia?Recall from lecture that heat transfer is described by Newton's lawof cooling:

dTdt=?(A?T)

where T is the body temperature of a passenger, A the watertemperature, and ?=0.016 min?1. Give your answer in minutes andround it to the nearest integer.