Newton's Law of Cooling states that the rate of decrease of temperature of a body is directly proportional to the difference in temperature between the body and the surroundings. This is modelled by the differential equation do -k(0 – 0,) dt where 0 is the temperature at time ! 0, is the constant temperature of the surroundings k is a constant Solve this equation given that the initial temperature was 0 = 0,. Sketch the variation of temperature with time.
Newton's Law of Cooling states that the rate of decrease of temperature of a body is directly proportional to the difference in temperature between the body and the surroundings. This is modelled by the differential equation do -k(0 – 0,) dt where 0 is the temperature at time ! 0, is the constant temperature of the surroundings k is a constant Solve this equation given that the initial temperature was 0 = 0,. Sketch the variation of temperature with time.
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Transcribed Image Text:Newton's Law of Cooling states that the rate of decrease of temperature of a
body is directly proportional to the difference in temperature between the body
and the surroundings. This is modelled by the differential equation
de
--(0 – 0,)
dt
O is the temperature at time t
0, is the constant temperature of the surroundings
where
k is a constant
Solve this equation given that the initial temperature was 0 = 0,. Sketch the
variation of temperature with time.
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