Thermodynamics- Zemansky Heat and Thermodynamics book question

In summary, the conversation discusses the calculation of work done in different scenarios for a paramagnetic substance at constant temperature. The Curie law and constant per unit volume are used to calculate the work done, and the values obtained are 125.7 J, 0.8 J, and 236.9 J for parts (a), (b), and (c) respectively. The conversation also mentions the difficulty of solving the question, despite its seemingly simple nature.
  • #1
nelsonleung
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1

Homework Statement



A volume of 200cm3 of a paramagnetic substance is maintained at con-
stant temperature. The magnetic eld is increased quasi-statically and
isothermally from 0 to 10^6 A/m. Assume the Curie law to hold and the
Curie constant per unit volume to be 1.885K/m3.

(a) How much work would have to be done if no material were present? (Ans: 125.7 J)

(b) How much work is done to change the total magnetization of the
material when the temperature is 300K and when it is 1K? (Ans: 0.8J)

(c) How much work is done to change the total magnetization by the
generator supplying the current? (Ans: 236.9J)

This question seems simple that is just simply substituting the numbers to the equation.. but I could not get to the answer. Can anyone help?
 
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  • #2
Homework Equations M=C(T)HW=∫MdHThe Attempt at a Solution(a) W=∫MdH=∫C(T)HdH=C(T)H^2/2=1.885K/m^3*(10^6A/m)^2/2=9.425*10^12 J/m^3*200 cm^3=1.88*10^14J=188 J = 125.7J(b) W=∫MdH=∫C(T)HdH=C(T)H^2/2=1.885K/m^3*(10^6A/m)^2/2=9.425*10^12 J/m^3*200 cm^3=1.88*10^14J=188 J When Temperature is 300K, W=188J When Temperature is 1K, W= 0.8J(c) W=∫MdH=∫C(T)HdH=C(T)H^2/2=1.885K/m^3*(10^6A/m)^2/2=9.425*10^12 J/m^3*200 cm^3=1.88*10^14J=188 J = 236.9J
 

1. What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationship between heat and other forms of energy, and how they are transferred and transformed.

2. What is the Zemansky Heat and Thermodynamics book?

The Zemansky Heat and Thermodynamics book is a textbook written by physicist Mark Zemansky that covers the fundamentals of thermodynamics, including topics such as heat, temperature, and energy.

3. How is heat related to temperature?

Heat and temperature are closely related, but they are not the same thing. Heat is the transfer of thermal energy from one object to another, while temperature is a measure of the average kinetic energy of the particles in a substance.

4. What is the first law of thermodynamics?

The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only transformed from one form to another.

5. What are the three laws of thermodynamics?

The three laws of thermodynamics are:

  1. The first law: energy cannot be created or destroyed, only transformed
  2. The second law: the total entropy of a closed system will always increase over time
  3. The third law: it is impossible to reach absolute zero (0 kelvin or -273.15 degrees Celsius) through any finite number of processes

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