Lecture-21-2023

.pdf

School

Simon Fraser University *

*We aren’t endorsed by this school

Course

309

Subject

Chemistry

Date

Oct 30, 2023

Type

pdf

Pages

14

Uploaded by MateHyenaMaster225

Review of statistical mechanics Thermodynamics is ‘a science of heat and temperature and entropy’. Thermodynamics is powerful but it is purely phenomenological . This means that thermodynamics is based on empirical observations. It allows us to calculate macroscopic properties given other macro- scopic properties and make predictions about engines, reactions, etc. However, it lacks: Fundamental justification space Why should entropy increase? space Why is entropy at zero absolute temperature zero? Or is it? space Why are work and heat related by the change of internal energy? Insights into the thermodynamic variables space What exactly is entropy? What is temperature? Thermodynamics doesn’t really answer such questions. 171
There are many phenomena thermodynamics can’t explain , in- cluding: space The dependence of heat capacity on T for various materials. space The intensity and color of light emitted by heated objects space (black-body radiation spectrum). space Properties of a small number of atoms or molecules. According to Steven Weinberg (2002) To find out whether the laws of thermodynamics apply to a par- ticular physical system, you have to ask whether the laws of ther- modynamics can be deduced from what you know about that sys- tem. Sometimes they can, sometimes they can’t. Thermodynam- ics itself is never the explanation of anything - you always have to ask why thermodynamics applies to whatever system you are studying, and you do this by deducing the laws of thermodynamics from whatever more fundamental principles happen to be relevant to that system. 172
So – one might argue – Thermodynamics is not a fundamental theory and the laws of thermodynamics are not unversal laws. Can we build a theory that would be based on more fundamental (universally applicable) principles and yield all the thermodynamics equations? We know that all materials consist of atoms and molecules. The properties of atoms and molecules are determined by quantum mechanics (which is fundamental). We know how to calculate the properties of individual atoms and molecules using quantum mechanics. Statistical mechanics allows us to use this knowledge of the quantum properties of the individual particles to obtain the thermo- dynamic properties: Quantum description of individual particles -→ Thermodynamics 173
Statistical mechanics thus achieves three goals: Yields thermodynamics equations based on fundamental, universally applicable principles . Offers a way to calculate thermodynamic variables from first principles, i.e. without empirical observations . Offers an insight into the thermodynamic variables (entropy, temperature, pressure, etc.) Let us try to understand conceptually what we have learned so far. 174
How do we apply statistical mechanics? First, we say that our system (and surroundings) consist of elemen- tary particles. Second, we ask: what are the conditions appropriate for the partic- ular experiment to be analyzed? space Is the number of particles constant? space Is temperature constant? space Is volume constant? . . . 175
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help

Browse Popular Homework Q&A

Q: ЗА 200 Ω 10 Ω : + ΙΔ 5 ΙΔ +1 80 V
Q: Evaluate the following iterated integral. 1 16 12y dx dy ? 0 9 Vx+y2
Q: I need help with 2 and 3.  Thanks.
Q: The number of orders for installation of a computer information system arriving at an agency per…
Q: Find the area under the standard normal curve to the right of A. z = 0.46. Answer: .73891 B. 2 =…
Q: The equity sections for Atticus Group at the beginning of the year (January 1) and end of the year…
Q: Eukaryotic RNA polymerase II is used to synthesize: a. rRNA O b. tRNA O C. O d. RNA from viral DNA O…
Q: A one-sample test of H0: μ = 125 against Ha: μ > 125 is carried out based on sample data from a…
Q: Please let me know which part of the cash flow calculations or cashflow statement setup/structure…
Q: In eukaryotes there is not a consistent relationship between the length of the coding sequence of a…
Q: In this problem we have n jobs j1, j2, ..., jn, each has an associated deadline d1, d2, ..., dn and…
Q: Give the class names and countries of the classes that carried guns of at least 16-inch bore. Find…
Q: Which of the following statements concerning D-glucose in INCORRECT? O a. It is a monosaccharide. O…
Q: Write the equilibrium constant expression, K, for the following reaction: If either the numerator or…
Q: When I₂(g) reacts with Cl₂(g) to form ICI(g), 6.41 kcal of energy are evolved for each mole of I₂(g)…
Q: a. What is the sample range? b. If you would like to construct a frequency distribution table with 6…
Q: 3. Consider the implicit relation 4x² y − 3y = x³. A. Use the technique of implicit differentiation…
Q: Which of the following is not a reason for banks to use activity- based costing? a. to determine…
Q: Please explain Optimizer in detail (In Machine Learning) and Discuss the advantages and…
Q: Which of the following is not a factory overhead allocation method? Oa. factory costing b. multiple…
Q: organisms
Q: Hi, do you agree with the net cash flow in investing activities amount, or did you receive a…