According to Newton’s Law of cooling, the temperature of an object decreases at a rate proportional to the difference between its temperature and that of the surrounding air. Suppose a corpse at a temperature of 32° C arrives at a mortuary where the temperature is kept at 10°C. Then the equation satisfying the temperature T of the corpse t hours later is:________.

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jmonterrozar jmonterrozar · Answer 1 · 2020-03-26T02:36:57+01:00

Answer:

dT / dt = - 22 * k

Step-by-step explanation:

Newton's law tells us that:

dT / dt = - k * (T - A)

Being dT / dt the change with respect to time.

"k" would be the speed constant, in this case we do not know it.

"T" the temperature of the object to be observed, in this case the corpse that is 32 ° C

And "A" is the ambient temperature, which in this case is the temperature at which the morgue is maintained, which is 10 ° C.

Replacing:

dT / dt = - k * (32 - 10)

dT / dt = - 22 * k

"k" must be in hours ^ (- 1) and this would be the expression that satisfies the temperature T of the corpse t hours later.