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# Suppose you have a “box” in which each particle may occupy

ISBN: 9780201380279 40

## Solution for problem 8P Chapter 7

An Introduction to Thermal Physics | 1st Edition

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Problem 8P

Suppose you have a “box” in which each particle may occupy any of 10 single-particle states. For simplicity, assume that each of these states has energy zero.

(a) What is the partition function of this system if the box contains only one particle?

(b) What is the partition function of this system if the box contains two distinguishable particles?

(c) What is the partition function if the box contains two identical bosons?

(d) What is the partition function if the box contains two identical fermions?

(e) What would be the partition function of this system according to equation?

(f) What is the probability of finding both particles in the same single-particle state, for the three cases of distinguishable particles, identical bosons, and identical fermions?

Equation:

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Why are cells so small • Size of the cell does not correlate with size of organism (larger dog does not have larger cells than smaller dog) • Narrow range of cell size 3 2 • Increased radius of cell  larger increase in volume (x ) than surface area (x ) o Limits cell size because large surface area needed to interact...

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