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.
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images