Understanding the Boltzmann Equation Part A Consider a system consisting of a cy
ID: 1030575 • Letter: U
Question
Understanding the Boltzmann Equation Part A Consider a system consisting of a cylinder with a movable piston containing 108 gas molecules at 298 K at a volume of 1 L. Consider the following descriptions of this system: A. Initial system, as stated in the problem statement. B. Starting from the initial system, the volume of the container is changed to 2 L and the temp. to 395 K. C. Starting from the initial system, a combination reaction occurs at constant volume and temp. D. Starting from the initial system, the gas reacts completely to produce 10' gas molecules at 395 K in a volume of 2 L E. Starting from the initial system, the temp is changed to 395 K at constant volume. Arrange the descriptions in order of increasing number of microstates in the resulting system. Fewest microstates Most microstates 14Explanation / Answer
Answer:
I have numbered the situations as A,B,C...
A. Initial system, as stated in the problem statement.
B.Starting from the initial system, the volume of the container is changed to 2 L and the temperature to 395 K.
C.Starting from the initial system, a combination reaction occurs at constant volume and temperature.
D.Starting from the initial system, the gas reacts completely to produce 107 gas molecules at 395 K in a volume of 2 L.
E. Starting from the initial system, the temperature is changed to 395 K at constant volume.
Ans: You should relate microstates and entropy here. Increasing microstate will increase entropy. Also increasing temperature and volume increase entropy. So you can think that increasing temperature and volume will create more microstates.
The order is D>B>E>A>C.
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