(a) Explanation Given: The given differential equation is, d T d t = k ( T − T m ) . The expression for the temperature of the medium is, T m = T 2 + B ( T 1 − T ) . Calculation: Substitute T 2 + B ( T 1 − T ) for T m in the given differential equation. d T d t = k ( T − T 2 − B ( T 1 − T ) ) = k ( T − T 2 − B T 1 + B T ) = k [ ( 1 + B ) T − ( B T 1 + T 2 ) ] … … ( 1 ) For the limiting condition for the temperature of the body, substitute 0 for d T d t (b) To determine To verify: The expression in part (a) for the limiting value of the temperature of the body by actually solving the differential equation. (c) To determine To discuss: A physical interpretation of the answer in part (a).

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 2, Problem 35CR

(a)

To determine

The limiting value of the temperature of the body and the medium.

(b)

To determine

To verify: The expression in part (a) for the limiting value of the temperature of the body by actually solving the differential equation.

(c)

To determine

To discuss: A physical interpretation of the answer in part (a).

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Chapter 2, Problem 34CR

Chapter 2, Problem 36CR

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Chapter 2 Solutions

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