An electric immersion heater is put into a sample of water of mass m. The water is heated from its initial temperature T; (approximately room temperature) to a final temperature T; (less than 100°C) while the heater itself maintains a constant temperature To. The specific heat of water, c, remains constant throughout the process, and any heat transfer to the container and the environment is negligible. а. Can the temperature of the heater be compared to the final temperature of the water? If not, why not? If so, is To greater than, less than, or equal to Tf? Explain. b. In terms of the given quantities (m, c, T;, T, To) determine expressions for the entropy change of the water and the heater. С. Determine whether this process is reversible by analyzing the sign of the entropy change for the heater-and-water system. d. Explain conceptually in terms of the 2nd law why your result about reversibility from part (c) is correct.

An electric immersion heater is put into a sample of water of mass m. The water is heated from its initial temperature T; (approximately room temperature) to a final temperature T; (less than 100°C) while the heater itself maintains a constant temperature To. The specific heat of water, c, remains constant throughout the process, and any heat transfer to the container and the environment is negligible. а. Can the temperature of the heater be compared to the final temperature of the water? If not, why not? If so, is To greater than, less than, or equal to Tf? Explain. b. In terms of the given quantities (m, c, T;, T, To) determine expressions for the entropy change of the water and the heater. С. Determine whether this process is reversible by analyzing the sign of the entropy change for the heater-and-water system. d. Explain conceptually in terms of the 2nd law why your result about reversibility from part (c) is correct.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

Question

An electric immersion heater is put into a sample of water of mass m. The water is heated from its initial
temperature T; (approximately room temperature) to a final temperature T; (less than 100°C) while the
heater itself maintains a constant temperature To. The specific heat of water, c, remains constant
throughout the process, and any heat transfer to the container and the environment is negligible.
a.
Can the temperature of the heater be compared to the final temperature of the water? If not,
why not? If so, is To greater than, less than, or equal to Tf? Explain.
b.
In terms of the given quantities (m, c, T;, Tf, To) determine expressions for the entropy change
of the water and the heater.
С.
Determine whether this process is reversible by analyzing the sign of the entropy change for
the heater-and-water system.
d.
Explain conceptually in terms of the 2nd law why your result about reversibility from part (c) is
correct.

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