Question

In: Advanced Math

The rate at which a body cools also depends on its exposed surface area S. If...

The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then a modification of (2), given in Section 3.1, is

dT
dt

= kS(T − Tm),

where

k < 0

and Tm is a constant. Suppose that two cups A and B are filled with coffee at the same time. Initially, the temperature of the coffee is 145° F. The exposed surface area of the coffee in cup B is twice the surface area of the coffee in cup A. After 30 min the temperature of the coffee in cup A is 95° F. If

Tm = 65° F,

then what is the temperature of the coffee in cup B after 30 min? (Round your answer to two decimal places.)

Solutions

Expert Solution

Colby Messinger answered 1 year ago
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