Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 15, Problem 41P
To determine

The rate entropy increases per unit time.

Expert Solution & Answer
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Answer to Problem 41P

The rate entropy increases per unit time is 4.346×102J/s .

Explanation of Solution

Given information:

Rate of conduction, Qt=7.50cal/s

Temperature of heat source, Ts=240°C=240+273=513K

Temperature of water, Tw=27°C=27+273=300K

Formula used:

Write the expression to calculate the rate of change of entropy per unit time.

  (Δs)Totalt=(Δs)st+(Δs)wt.......... (1)

Calculation:

Consider the conversion factor to convert rate of conduction from cal/s to J/s .

  7.50cal/s=7.50×4.18J/s=31.4J/s

Since, the heat is transferred from source to water. Therefore, the rate of change of entropy of source is negative.

Substitute the values in equation (1).

  (Δs)Totalt=(31.4)513+(31.4)300=0.06120+0.10466=4.346×102J/s

Therefore, therate entropy increases per unit time is 4.346×102J/s .

Chapter 15 Solutions

Physics: Principles with Applications

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