Question

In: Math

When a cold drink is taken from a refrigerator, its temperature is 5C. After 25 minutes...

When a cold drink is taken from a refrigerator, its temperature is 5C. After 25 minutes in a 20C room, its temperature has increased to 10C.

a. what is the temperature of the soda pop after another half hour?

b. how long does it take for the soda pop to cool to 50F?

Solutions

Expert Solution

PART(a):

Newton's law of cooling is given by,

integrating on both sides,

where A is the integration const.

k is the rate constant.

To find these constants,

put t = 0,

Now the solution becomes,

put t = 25

solving for k,

Now the final solution becomes,

put t = 25 + 30 = 55

PART(b):

convert 50F to celsius.

T(t) = 10,

solve for t,

I hope this answer helps,
Thanks,
Keep posting questions.

milcah answered 1 year ago

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