1. (a) A single particle with mass m is confined to a box of length L...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. (a) A single particle with mass m is confined to a box of length L in the x-direction. If the particle is moving with speed u, in the x-direction and bouncing elastically off the walls at either end, show that it exerts a pressure p on these walls of p= mv LA where A is the area of the walls. Using this result, show that the root-mean-square speed Urms of molecules in an ideal gas is given by 3p where p is the mass density of the gas. (b) At 26.5C and 1.57 kPa the density of a gas is 2.0210-5 g/cm. i. Find Urms for the gas molecules. ii. Find the number of molecules per unit volume of the gas and, using this, find the mass of the gas molecules and identify the gas. (c) 2.5 mol of the gas above is compressed isothermally to one tenth of it initial volume. Compute (i) the work done on the gas, (ii) the heat added to the gas and (iii) the change in entropy of the gas in this process. If you did not get an answer in the previous question, you may assume that the gas is diatomic. 1. (a) A single particle with mass m is confined to a box of length L in the x-direction. If the particle is moving with speed u, in the x-direction and bouncing elastically off the walls at either end, show that it exerts a pressure p on these walls of p= mv LA where A is the area of the walls. Using this result, show that the root-mean-square speed Urms of molecules in an ideal gas is given by 3p where p is the mass density of the gas. (b) At 26.5C and 1.57 kPa the density of a gas is 2.0210-5 g/cm. i. Find Urms for the gas molecules. ii. Find the number of molecules per unit volume of the gas and, using this, find the mass of the gas molecules and identify the gas. (c) 2.5 mol of the gas above is compressed isothermally to one tenth of it initial volume. Compute (i) the work done on the gas, (ii) the heat added to the gas and (iii) the change in entropy of the gas in this process. If you did not get an answer in the previous question, you may assume that the gas is diatomic.
Expert Answer:
Answer rating: 100% (QA)
1 The correct answer is a A single particle with mass m is confined to a box of length Lin the rdire... View the full answer
Related Book For
University Physics with Modern Physics
ISBN: 978-0133977981
14th edition
Authors: Hugh D. Young, Roger A. Freedman
Posted Date:
Students also viewed these physics questions
-
Zanadu Shoes, Inc. completed the following investment transactions during 2025 and 2026: View the transactions. Requirements 1. Journalize Zanadu Shoes, Inc. lavestment transactions. Explanations are...
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
In Example 12.5 (Section 12.3) we ignored the gravitational effects of the moon on a spacecraft en route from the earth to the moon. In fact, we must include the gravitational potential energy due to...
-
Two forces are acting on the 5 kg object, with only one of them shown in Fig. 1. Knowing that F = 20 N, 0 = 30 and that the object is moving at a constant acceleration of a = 12 m/s, find the second...
-
The forces required to extend a spring to various lengths are measured. The results are shown in the following table. Using the data in the table, plot a graph that helps you to answer the following...
-
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 14) In a completely randomized design experiment, 10 experimental units were randomly chosen for...
-
What privacy concerns might arise from the use of biometric authentication techniques? What about the embedding of RFID tags in products such as clothing?
-
In the year just ended, Callaway Lighting had sales of $5,000,000 and incurred a cost of goods sold equal to $4,500,000. The firms operating expenses were $130,000 and its increase in retained...
-
FTX Fraud Case 1. What are the major details of the fraud case that you researched, and how was it detected 2.What was the responsibility of the forensic accountant in the fraud case that you...
-
Suppose that the regression model is yi = + xi + i, where the disturbances i have f (i) = (1/) exp (i), i 0. This model is rather peculiar in that all the disturbances are assumed to be positive....
-
what are examples of negative consequences to consumers responding commerce
-
A red laser beam \((\lambda=647 \mathrm{~nm})\) is sent through a double slit to a screen that is \(15 \mathrm{~cm}\) wide and \(2.00 \mathrm{~m}\) away from the slits. (a) If the separation distance...
-
What was the justification for community intervention?
-
Why was harsh discipline of children encouraged?
-
What role did the family play in colonial America?
-
What is the momentum of a photon that has energy of \(5.0 \times 10^{-15} \mathrm{~J}\) ?
-
In what manner did the nascent stages of the American Revolution appear to impact the cognitive framework of the Wataugans?
-
A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible A time. She can walk...
-
In seawater, a life preserver with a volume of 0.0400 m 3 will support a 75.0-kg person (average density 980 kg/m 3 ), with 20% of the persons volume above the water surface when the life preserver...
-
Two parallel conductors carrying current in the same direction attract each other. If they are permitted to move toward each other, the forces of attraction do work. From where does the energy come?...
-
In what ways do photons resemble other particles such as electrons? In what ways do they differ? Do photons have mass? Do they have electric charge? Can they be accelerated? What mechanical...
-
Paths (a) and (b) are each paths in some larger network. In each case, decide whether the path is an augmenting path, and if so, use the method suggested by (7)-(10) to augment the path. (a) Exercise...
-
Check the constraint (a) of (1) for the augmented flow \(f_{\epsilon}\), defined by (10).
-
Show that if, in the maximal flow algorithm, the breadth-first search cannot label the sink, then there is no augmenting path from source to sink. (Hint: Suppose that one did exist. Consider the...
Study smarter with the SolutionInn App