Summary Worksheet on Weeks 6-10

5/7/2021 Review Test Submission: Summary Worksheet on Weeks 6-10 &ndash... https://uic.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_49808808_1&course_id=_193694_1&content_id=_8881251_1&outco… 1/8 Review Test Submission: Summary Worksheet on Weeks 6-10 PHYS 260 Intro Thermal Physics (41588) 2021 Spring Weekly Content Week 11 begins Monday, March 29 Review Test Submission: Summary Worksheet on Weeks 6-10 User Yacoub Awimrin Course PHYS 260 Intro Thermal Physics (41588) 2021 Spring Test Summary Worksheet on Weeks 6-10 Started 4/1/21 10:00 PM Submitted 4/1/21 10:11 PM Status Completed Attempt Score 48 out of 48 points Time Elapsed 11 minutes Instructions Results Displayed All Answers, Submitted Answers, Correct Answers, Feedback, Incorrectly Answered Questions Units : Include units in your answer when instructed. Use SI units only in your answers. For example, use Pascals not atmospheres. Numbers : Use either the normal form, such as 132 or 132.5, or the exponential form, which represents 132 as 1.32E+2, represents 5 x 10 4 as 5E+4 or 5E4, or represents 52 x 10 -3 as 5.2E- 2, unless instructed otherwise. Do not use the form 5 x 10 4 . If your answer is positive, do not place a "+" sign before your answer. Repeat Once : You can do worksheets twice before the due date. After submitting the ±rst time, click the OK on the bottom right of the page and you will be informed of your total score and which questions were answered incorrectly (during a one-time view, so you might want to take a screen-shot for future reference). Accept the score or redo the entire worksheet. Your highest score will be recorded. Answers and feedback to all problems will be available after the due date and can be accessed within My Grades. Question 1 4 out of 4 points

5/7/2021 Review Test Submission: Summary Worksheet on Weeks 6-10 &ndash... https://uic.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_49808808_1&course_id=_193694_1&content_id=_8881251_1&outco… 2/8 Selected Answer: c. Answers: a. b. c. d. e. Select the formula that describes the number of ways to arrange N identical particles in M states of unlimited occupancy for arbitrary values of N and M . Question 2 Selected Answer: a. Answers: a. b. c. d. e. Select the formula that describes the number of ways to arrange N identical particles in M states of unlimited occupancy when N << M . Question 3 A system consists of two interacting Einstein solids, A and B , that can exchange heat. The number of oscillators in solid A is N A = 4 and the 4 out of 4 points 6 out of 6 points

5/7/2021 Review Test Submission: Summary Worksheet on Weeks 6-10 &ndash... https://uic.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_49808808_1&course_id=_193694_1&content_id=_8881251_1&outco… 4/8 Selected Answers: g. Answers: a. b. c. d. e. f. g. h. What is the entropy of the most probable macrostate? k ln(3136) ln(7056) ln(15876) ln(3136) k ln(15876) k ln(84) k ln(56) k ln(3136) ln(56) Question 5 A system consists of two interacting Einstein solids, A and B , that can exchange heat. The number of oscillators in solid A is N A = 4 and the number in solid B is N B = 4. The total number of units of heat energy available to the system is q = 10. If you cannot see the figure below properly, look at Figure 1 in Summary_ Worksheet_Figures.pdf. Select the range of values below that includes the probability P of finding the system in the most probable macrostate. 6 out of 6 points

5/7/2021 Review Test Submission: Summary Worksheet on Weeks 6-10 &ndash... https://uic.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_49808808_1&course_id=_193694_1&content_id=_8881251_1&outco… 5/8 Selected Answer: b. Answers: a. b. c. d. e. f. g. h. i. j. 0.1 ≤ P < 0.2 0 ≤ P < 0.1 0.1 ≤ P < 0.2 0.2 ≤ P < 0.3 0.3 ≤ P < 0.4 0.4 ≤ P < 0.5 0.5 ≤ P < 0.6 0.6 ≤ P < 0.7 0.7 ≤ P < 0.8 0.8 ≤ P < 0.9 0.9 ≤ P ≤ 1 Question 6 Selected Answer: Answers: Select the letter of the plot in Figure 2 of Summary_Worksheet_Figures.pdf that corresponds to the variation of entropy as energy is added to an Einstein solid. B A B C D Question 7 Imagine walking into a room at a comfortable temperature and seeing a glass of water (liquid, of course) on the table. You do not observe ice in the glass. However, you observe that the room is humid, by which you understand that water molecules are part of the gas that forms the air in the room. Choose the correct expressions below. 4 out of 4 points 6 out of 6 points

5/7/2021 Review Test Submission: Summary Worksheet on Weeks 6-10 &ndash... https://uic.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_49808808_1&course_id=_193694_1&content_id=_8881251_1&outco… 7/8 e. mu equals open parentheses fraction numerator partial di²erential U over denominator partial di²erential N end fraction close parentheses subscript S comma V end subscript None of the above. Question 9 Selected Answers: b. Answers: a. b. c. d. e. A molecule has only three states, as shown in the ±gure, with energy ε = 10 -20 J. The molecule is in thermal equilibrium with a reservoir at temperature T . If you cannot see the figure below properly, look at Figure 3 in Summary_ Worksheet_Figures.pdf. Under what conditions is the molecule found in state E o (= 0 J) with a probability of nearly 1? kT << ε kT = ε kT << ε Never kT >> ε Always Question 10 A molecule has only three states, as shown in the ±gure, with energy ε = 10 -20 J. The molecule is in thermal equilibrium with a reservoir at temperature T . If you cannot see the ±gure below properly, look at Figure 3 in Summ ary_Worksheet_Figures.pdf. 4 out of 4 points 6 out of 6 points

5/7/2021 Review Test Submission: Summary Worksheet on Weeks 6-10 &ndash... https://uic.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_49808808_1&course_id=_193694_1&content_id=_8881251_1&outco… 8/8 Friday, May 7, 2021 3:37:57 PM CDT Selected Answer: f. Answers: a. b. c. d. e. f. g. h. i. j. Select the range of values below which includes the probability P 1 that the molecule is in the middle energy state E 1 when T = 1000 K. 0.25 ≤ P 1 < 0.3 0 ≤ P 1 < 0.05 0.05 ≤ P 1 < 0.1 0.1 ≤ P 1 < 0.15 0.15 ≤ P 1 < 0.2 0.2 ≤ P 1 < 0.25 0.25 ≤ P 1 < 0.3 0.3 ≤ P 1 < 0.35 0.35 ≤ P 1 < 0.4 0.4 ≤ P 1 < 0.45 0.45 ≤ P 1 < 0.5 ← OK