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Chemistry / Elementary Principles of Chemical Processes 3 / Chapter 7 / Problem 7.31

Elementary Principles of Chemical Processes | 3rd Edition | ISBN: 9780471687573 | Authors: Richard M Felder

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Liquid water at 30.aoC and liquid water at 90.aoC are

Chapter 7, Problem 7.31

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QUESTION:

Liquid water at 30.aoC and liquid water at 90.aoC are combined in a ratio (1 kg cold water/2 kg hot water). (a) Use a simple calculation to estimate the final water temperature. For this part, pretend you never heard of energy balances. (b) Now assume a basis of calculation and write a closed system energy balance for the process, neglecting potential and kinetic energy changes and expansion work and assuming that the mixing is adiabatic. Use the balance to calculate the specific internal energy and hence (from the steam tables) the final temperature of the mixture. What is the percentage difference between your answer and that of part (a)?

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QUESTION:

Liquid water at 30.aoC and liquid water at 90.aoC are combined in a ratio (1 kg cold water/2 kg hot water). (a) Use a simple calculation to estimate the final water temperature. For this part, pretend you never heard of energy balances. (b) Now assume a basis of calculation and write a closed system energy balance for the process, neglecting potential and kinetic energy changes and expansion work and assuming that the mixing is adiabatic. Use the balance to calculate the specific internal energy and hence (from the steam tables) the final temperature of the mixture. What is the percentage difference between your answer and that of part (a)?

ANSWER:

Step 1 of 3

(a)

The final amount of water after mixing can be represented as follows:

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