dH proportional dT 14 Newton's law of cooling states that hot liquid at the temperature hcools at a rate to the difference between its temperature and temperature of the surrounding environment H,. Show that H= Ae" + H,, where k is the cooling rate constant and A is an integral constant. A hot tea at 76 C is left in a room of 22 C. a. Find the Newton's cooling equation. b. Using a container X, it is found that after 10 minutes in the room, the temperature of tea has decreased by 10. Determine the temperature of the tea after 15 minutes in the room.

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter1: Temperature And Heat
Section: Chapter Questions
Problem 44P: What are the following temperatures on the Kelvin scale? (a) 68.0 F, an indoor temperature sometimes...
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14. a. H(t) = 54e¬ + 22
b. 61.72°C/ 62.004° C / 62.0° C
-kt
Transcribed Image Text:14. a. H(t) = 54e¬ + 22 b. 61.72°C/ 62.004° C / 62.0° C -kt
14 Newton's law of cooling states that hot liquid at the temperature hcools at a rate
dH
proportional
to the difference between its temperature and temperature of the surrounding environment H..
Show that H = Ae e +H,, where k is the cooling rate constant and A is an integral constant. A hot
tea at 76 C is left in a room of 22°C.
a. Find the Newton's cooling equation.
b. Using a container X, it is found that after 10 minutes in the room, the temperature of tea has
decreased by 10 . Determine the temperature of the tea after 15 minutes in the room.
Transcribed Image Text:14 Newton's law of cooling states that hot liquid at the temperature hcools at a rate dH proportional to the difference between its temperature and temperature of the surrounding environment H.. Show that H = Ae e +H,, where k is the cooling rate constant and A is an integral constant. A hot tea at 76 C is left in a room of 22°C. a. Find the Newton's cooling equation. b. Using a container X, it is found that after 10 minutes in the room, the temperature of tea has decreased by 10 . Determine the temperature of the tea after 15 minutes in the room.
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