Rec14_172Fall11 - Physics 172 Fall 2011 Recitation 14 Entropy and Temperature Problem 1 a List explicitly all of the different ways that 2 quanta

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 172 – Fall 2011 Recitation 14 – Entropy and Temperature Problem 1 a) List explicitly all of the different ways that 2 quanta of vibrational energy can be arranged in 4 one-dimensional oscillators, that is, list all of the microstates of a 4 oscillator system in the macrostate with total vibrational energy 2 ω h . b) Verify that the total number of microstates, ! ( q , N ) , is equal to ( q + N ! 1)! q !( N ! 1)! , the general formula for this number derived in the text. c) If you make a sequence of 10,000 independent observations of the microstate of this system, about how many times do you expect to find it in the 0020 microstate? About how many times do you expect to find it in a microstate with 2 quanta in the same oscillator? About how many times do you expect to find it in a state in which no oscillator has more than one quantum of vibrational energy? [Checkpoint 1] Problem 2 Consider a nanoparticle consisting of 27 copper atoms. Recall that the molar mass of copper is about 63 grams and that the Young’s modulus of copper implies an inter-atomic
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/07/2011 for the course PHYS 172 taught by Professor ? during the Fall '08 term at Purdue University-West Lafayette.

Page1 / 2

Rec14_172Fall11 - Physics 172 Fall 2011 Recitation 14 Entropy and Temperature Problem 1 a List explicitly all of the different ways that 2 quanta

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online