Thermal Physics - Energy Exchange

In summary, the conversation revolved around a collection of 100 oscillators with an average of 10 quanta each. The question was to find the change in \Omega(microstate) if the total energy was increased by a factor of 2 and if one more oscillator was added without changing the total energy. The calculations resulted in approximately 2^96.6 for the first question and a factor of 10.9 for the second one.
  • #1
nahanksh
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0

Homework Statement


Consider a collection of 100 oscillators, each with an average of 10 quanta.
a) By what factor would [tex]\Omega[/tex](microstate) change if the total energy were increased by a factor of 2?
b) By what factor would [tex]\Omega[/tex] change if one more oscillator were added to the original system without changing the total energy?


Homework Equations





The Attempt at a Solution


I tried to use (q+N-1)!/(N-1)!q! but it doesn't work...

The answer for a) is '2^99' and for b is 'a factor of 11'

Could someone help me out here?

Thanks a lot !
 
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  • #2
I have just tried to substituted the value into the equation and it seems the answer is approximately correct a) 2^96.6 b) 10.9 (with N=100, q=1000).
Maybe I misinterpret the question.
 

1. What is thermal physics and how does it relate to energy exchange?

Thermal physics is the branch of physics that studies the relationship between heat, temperature, and energy. It focuses on the behavior of systems at the microscopic level and how they exchange energy through heat transfer. This is important in understanding how energy is transferred and transformed in different systems, such as in engines or in chemical reactions.

2. What are the different types of energy exchange in thermal physics?

There are three main types of energy exchange in thermal physics: conduction, convection, and radiation. Conduction is the transfer of heat through a material, convection is the transfer of heat by the movement of a fluid, and radiation is the transfer of heat through electromagnetic waves.

3. How does thermal equilibrium occur in a system?

Thermal equilibrium occurs when two objects or systems reach the same temperature. This means that there is no net transfer of heat between them, and they are in thermal balance. The energy exchange between the objects is equal, and they will continue to exchange energy until they reach the same temperature.

4. What is the difference between internal energy and heat in thermal physics?

Internal energy is the total energy of a system due to the motion and interactions of its particles. Heat, on the other hand, is the transfer of thermal energy from one object to another. While internal energy is a property of a system, heat is a process that results in a change in the internal energy of a system.

5. How does the Second Law of Thermodynamics apply to energy exchange in thermal physics?

The Second Law of Thermodynamics states that in any energy exchange, the total entropy of the system and its surroundings will always increase. This means that energy will always flow from hotter objects to cooler objects, and it will never spontaneously flow in the opposite direction. This law is important in understanding the direction of energy transfer and the efficiency of different energy conversion processes.

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