hot body is placed in cooler surroundings it's rate of cooling is 1 degree celcius per minute when it's tempreture is 45 degree celcius. Determine the tempreture of cooling when the tempreture of body is 40 degree celcius
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hot body is placed in cooler surroundings it's rate of cooling is 1 degree celcius per minute when it's tempreture is 45 degree celcius. Determine the tempreture of cooling when the tempreture of body is 40
Answer:
Temperature difference in any situation results from energy flow into a system or energy flow from a system to surroundings. The former leads to heating, whereas latter leads to cooling of an object.
Newton’s Law of Cooling states that the rate of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium. This statement leads to the classic equation of exponential decline over time which can be applied to many phenomena in science and engineering, including the discharge of a capacitor and the decay in radioactivity.
Newton's Law of Cooling is useful for studying water heating because it can tell us how fast the hot water in pipes cools off. A practical application is that it can tell us how fast a water heater cools down if you turn off the breaker when you go on vacation.
Suppose that a body with initial temperature T1°C, is allowed to cool in air which is maintained at a constant temperature T2°C.
Let the temperature of the body be T°C at time t.
Then by Newton’s Law of Cooling,
(1)