A thermometer is taken from a room where the temperature is 23 ^o C to the outdoors, where the temperature is -15 ^o C. After one minute the thermometer reads 11 ^o C. ?
A thermometer is taken from a room where the temperature is 23 ^o C to the outdoors, where the temperature is -15 ^o C. After one minute the thermometer reads 11 ^o C.
(a) What will the reading on the thermometer be after 5 more minutes?
,
(b) When will the thermometer read -14 ^o C?
minutes after it was taken to the outdoors.
A thermometer is taken from a room where the temperature is 23 ^o C to the outdoors, where the temperature is -15 ^o C. After one minute the thermometer reads 11 ^o C.
(a) What will the reading on the thermometer be after 5 more minutes?
,
(b) When will the thermometer read -14 ^o C?
minutes after it was taken to the outdoors.
1 Answer
(a) -
(b) - after
Explanation:
According to Newton's Law of Cooling, the rate of the cooling is proportional to the temperature difference between the object and its surroundings.
In other words, if an object at a higher temperature say
Here we have
Hence
or
(a) After
=
(b) Let the temperature be
or
i.e.
Hence after