Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 13.1, Problem 4cT
To determine
The correct statement of student and flaws in the reasoning of each student.
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e. Consider one unit cell and assume the length of the side of the cube is “a”. Remember that “a” is the distance between the centers of two adjacent atoms. How long is “a”, the edge of a unit cell, in terms of radius, r, of an atom? Write also your answer in the summary table.Answer: __________f. Based on the earlier questions, a simple cubic cell has the equivalent of only 1 atom. Recall the volume of sphere with radius, r, is expressed as V = 4/3 πr3. With this information, find the total volume of all the spheres in this unit cell, expressed in terms of r. (Hint: To do this, take the total number of atoms and multiply it by the volume of one atom, with radius, r)Answer: __________
Hi, could I get some help with this macro-connection physics problem involving the Ideal Gas Law?
The set up is:
What is the average volume in nm3 (cubic nanometers) taken up by molecules of an ideal gas at room temperature (taken as 300 K), and 1 atm of pressure or 101325 N/m2 to 4 digits of precision if kB = 1.38e-23 J/K and 1 nm = 10-9 m?
Thank you.
Problem 1:
This problem concerns a collection of N identical harmonic oscillators (perhaps an
Einstein solid) at temperature T. The allowed energies of each oscillator are 0, hf, 2hf,
and so on.
a) Prove =1+x + x² + x³ + .... Ignore Schroeder's comment about proving
1-x
the formula by long division. Prove it by first multiplying both sides of the
equation by (1 – x), and then thinking about the right-hand side of the resulting
expression.
b) Evaluate the partition function for a single harmonic oscillator. Use the result of
(a) to simplify your answer as much as possible.
c) Use E = -
дz
to find an expression for the average energy of a single oscillator.
z aB
Simplify as much as possible.
d) What is the total energy of the system of N oscillators at temperature T?
Chapter 13 Solutions
Tutorials in Introductory Physics
Ch. 13.1 - Prob. 1aTCh. 13.1 - In the space provided, draw an arrow to indicate...Ch. 13.1 - Prob. 1cTCh. 13.1 - Prob. 1dTCh. 13.1 - Prob. 1eTCh. 13.1 - Prob. 2aTCh. 13.1 - Prob. 2bTCh. 13.1 - Consider the following student dialogue. Student...Ch. 13.1 - Sketch the process described in section II on the...Ch. 13.1 - Prob. 3bT
Ch. 13.1 - Prob. 4aTCh. 13.1 - A student looks up the molar masses and finds the...Ch. 13.1 - Prob. 4cTCh. 13.2 - Recall the definition of work done on an object by...Ch. 13.2 - Prob. 1bTCh. 13.2 - Prob. 1cTCh. 13.2 - Prob. 2aTCh. 13.2 - Does the internal energy of a gas in an insulated...Ch. 13.2 - Two students are discussing process 1: Student 1:...Ch. 13.2 - Imagine that the cylinder from section II is no...Ch. 13.2 - In process 2, is the heat transfer to the gas...Ch. 13.2 - Prob. 3cTCh. 13.2 - Prob. 4aTCh. 13.2 - In process 1 (section II) you did not need to...Ch. 13.2 - In process 2 (section III) you did not need to...Ch. 13.2 - Prob. 4dTCh. 13.2 - How does the compression in process 3 differ from...Ch. 13.2 - A student is considering process 3: “The...
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