Consider a 2-level system with an energy splitting between the upper and lower level. Using Boltzmann statistics, show that the heat capacity of the 2-level system equals: (see attachment for equation)
What happens in the limit of (see attachment for equation)© BrainMass Inc. brainmass.com October 16, 2018, 4:08 pm ad1c9bdddf
Before you look at the solutions, you can try to solve the problem the following way:
<br>Set one energy level to zero, so the other is kD.
<br>Now use the Boltzmann statistics to find what is the probability of ...
The solution shows how to find the system's partition function and how to obtain the desired parameter.
Operations Management and Process Analysis
The bathtub theory of operations management is being promoted as the next breakthrough for global competitiveness. The factory is a bathtub with 50 gallons of capacity. The drain is the outlet to the market and can output 3 gallons per hour wide open. The faucet is the raw material input and can let material in at a rate of 4 gallons per hour. (Assume the bathtub is empty)
a) Draw a diagram of the factory and determine the maximum rate at which the market can be served if all valves are set to maximum. What happens to the system over time?
b) Suppose that instead of a faucet, a 5 gallon container is used for filling the bathtub (assume its full and next to the tub to begin with), it takes 2 hours to refill the container and return it to the bathtub. What happens to the system over time?View Full Posting Details