Newton's Law of Cooling
1. Suppose a cold coke can taken of a refrigerator at \(38^o\)F
is placed in a warm room at \(70^o\)F, and 10 minutes later the
temperature of the can is \(46^o\)F. Find the temperature 22
minutes after the can was placed into the room.
solution
2. An object with temperature \(72^o\)F is placed outside in a
cold night where the
temperature is \(-20^o\)F. At 11:05 PM the temperature of the object
is \(58^o\)F, and at 11:07 PM its temperature is \(50^o\)F. At what time
was the object placed outside?
solution
3. Dr Duncan is served a cup of coffee at \(175^o\)F. But he
prefers to drink it at the temperature of \( 162^o\)F so he waits for 2
minutes, and finds that the temperature of the coffee is \(167^o \)F. If
the temperature of the room where he is sitting is \(70^o\)F, how
long does he have to wait?
solution