Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically b
Posted: Tue May 10, 2022 7:58 am
Over a period of time, a hot object cools to the
temperature of the surrounding air. This is described
mathematically by Newton's Law of Cooling T=C+T0−Ce−kt,
where t is the time it takes for an object to cool from temperature
T0 to temperature T, C is the surrounding
air temperature, and k is a positive constant that is
associated with the cooling object. A cake removed from the oven
has a temperature of 210°F and is left to cool in a room that has
a temperature of 70°F. After 20 minutes, the temperature of the
cake is 140°F. What is the temperature of the cake after 40
minutes?
(Do not round until the final answer. Then round to the nearest
whole number as needed.)
temperature of the surrounding air. This is described
mathematically by Newton's Law of Cooling T=C+T0−Ce−kt,
where t is the time it takes for an object to cool from temperature
T0 to temperature T, C is the surrounding
air temperature, and k is a positive constant that is
associated with the cooling object. A cake removed from the oven
has a temperature of 210°F and is left to cool in a room that has
a temperature of 70°F. After 20 minutes, the temperature of the
cake is 140°F. What is the temperature of the cake after 40
minutes?
(Do not round until the final answer. Then round to the nearest
whole number as needed.)