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 65° C. 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 37° C. If Tm = 20° C, then what is the temperature of the coffee in cup B after 30 min? (Round your answer to two decimal places.)
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 65° C. 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 37° C. If Tm = 20° C, then what is the temperature of the coffee in cup B after 30 min? (Round your answer to two decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3.2.7
Transcribed Image Text: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),
m
where k < 0 and T 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 65° C. 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 37° C. If Tm = 20° C, then what is the temperature of the
coffee in cup B after 30 min? (Round your answer to two decimal places.)
°C
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