Lab #1 Kinetic Theory of Gasses - Google Docs

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RTI The molecules in a six-particle gas have velocities ₁ (201-30j) m/s V2 (10i+60j) m/s 73=(-501 +20j) m/s 7= 30i m/s Vs (40i-40j) m/s ₁=(-50 i 10j) m/s Calculate Varg Express the x and y components of the velocity in meters per second separated by a comma. Uz avg, Uy avg Submit Part B VD|| ΑΣΦ Request Answer W Calculate Davg- Express your answer with the appropriate units. ? m/s

The rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s. What is the total translational kinetic energy of the gas molecules? Express your answer with the appropriate units. Etotal = Submit Part B Value Request Answer Units What is the thermal energy of the gas? Express your answer with the appropriate units. ?

The rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s. Part A What is the total translational kinetic energy of the gas molecules? Express your answer with the appropriate units. Etotal = 1.9 kJ Submit ✓ Correct Part B Previous Answers What is the thermal energy of the gas? Express your answer with the appropriate units. Eth = 1944 Submit μA Previous Answers Request Answer

Problem 1: Black holes A black hole is a region of space where gravity is so strong that nothing, not even light, can escape. Throwing something into a black hole is therefore an irreversible process, in the everyday sense of the word. It is true in the thermodynamic sense as well: adding mass to a black hole increases the black hole's entropy. It turns out that there's no way to tell (at least from the outside) what kind of matter has gone into making a black hole. Therefore, the entropy of a black hole must be greater than the entropy of any conceivable type of matter that could have been used to create it. Knowing this, it's not hard to estimate its entropy. a) Use dimensional analysis to show that a black hole of mass M should have a radius of order GM/c², where G is Newton's gravitational constant and c is the speed of light. Calculate the approximate radius of a one-solar-mass black hole (M = 2 × 103ºkg). b) Explain why the entropy of a black hole, in fundamental units, should be…

DIFFERENTIAL EQUATIONS TOPIC: ELEMENTARY APPLICATIONS SOLVE COMPLETELY IN HANDWRITTEN THANK YOU

Q3: The relation between entropy and weignt or the configuration of an assembly may be 0.081 considered as a differential form of the Boltzmann relation S-k log 2 What are the postulates that you can follow to solve it? لا

C3-CRT35: PRESSURE-VOLUME GRAPH-PRESSURE, VOLUME, AND TEMPERATURE BAR CHARTS An ideal gas trapped in a cylinder expands while its pressure drops. The starting point for this process is labeled A and the endpoint is labeled B in the graph of pressure versus volume. 0 Explain your reasoning. Pressure 0 A Volume This initial pressure, volume, and temperature are shown in the histograms. Complete the histograms, showing the final pressure, volume, and absolute temperature. Initial Final Initial Final Volume B Pressure Initial Final Temperature

2. Consider a monatomic gas in a 2-dimensional box with a rectangular area A. The velocity distribution for this gas is given by (you do not need to prove this): {-m (C +C)/ 2kT} f (C,,C,)=A e Find: A, the speed distribution, and the mean speed, C.

9. How might physicists have come to know that at a constant temperature and constant mass, the pressure of an ideal gas is inversely proportional to its volume? gas as (b) (a) They could have conducted an experiment maintaining the described above and made a pressure-versus-volume graph. They could have derived this relationship using the equations describ- ing the ideal gas model and the relationship between the speed of the particles and the gas temperature. Both a and b are correct.

The image shows a cylinder with a movable wall (partition) and a piston. Movable partition Piston -Work Vacuum Gas What properties of matter allow the gas to expand and contract as the wall is removed and the piston moved as depicted in the image? O A The particles of a gas are close together, they completely fill the volume of the container, they are strongly attracted to each other. ©2021 Illuminate Education TM, Inc. hp -> esc #3 %24 96

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statical physics barkeley volume 5 Thermal interaction: (chapter 4) 1-perfect gas under the influence of centrifugal force :A rotating cylinder with radius R and height H contains N molecules of gas. Rotate the cylinder around its own axis at a constant angular velocity w.Molecular acceleration at distance r from the axis of the period rw ^ 2. We consider the temperature to be uniform and equal to T. a) Get the partition function of this system . b) Obtain an expression for the mean energy E of thissystem.

Quantitative Analysis - Introducing Elasti For each of the following situations: a. Choose an initial and final state (states A and B) that will be appropriate (interesting) for analysis. b. If there is not already a physical diagram of the situation and there should be one for proper analysis, include one. c. Construct a system schema of the situation. Do not forget to include the system boundary for the system specified by the problem. Choose your system wisely. d. Construct an energy bar chart and system flow diagram (LOL plots) for each problem. e. You are allowed to add other energy storage modes. You do not have to use the energy storage modes that are printed in each LOL plot. f. Find the unknown value. 1. A toy car is pressed onto a small spring so that it compresses it 5 cm and is then released. The spring's stiffness constant is 400 N/m and the cart's mass is 250 g. How fast is the cart moving when it leaves the spring?

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Q. 24 Potential energy of a molecule on the surface of liquid as compare to molecules liquid as compare to molecules inside the liquid is (a) maximum (b) same (c) minimum (d) halvod

Question 11 Average kinetic encrgy of the gas molecules i Not yet answered Marked out of Directly proportional to absolute temperature P Flag question O Directly proportional to the 4th power of absolute temperature Oc. Independent of absolute temperature O d. Inversely proportional to absolute temperature Download audio from this page K P Type here to search DELL

Calc 3 Question Section 14.4 Please answer subparts d, e, f and g.

QUESTION 7 What is the average translational kinetic energy of an ideal gas at 816 K? (The value of Boltzmann's constant is 1.38 x 10-23 J/K.) 5.63 x 10 21 j 3.75 x 10-19 1.12x 10-17) 1.69 x 10-20 1

The molecules in a six-particle gas have velocities v₁ = (20î - 30) m/s v₂ = (40î +90) m/s V3 = (-802 +205) m/s V4 = 30î m/s V5 (402-405) m/s = v₁ = (-50-403) m/s Part A Calculate Vavg- Express the x and y components of the velocity in meters per second separated by a comma. Uz avg, Uy avg 0,0 m/s Submit ✓ Correct Part B Previous Answers Calculate Vavg- Express your answer with the appropriate units. Vavg0 Submit μA 6 m S 2 Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining

7. Under which of the following conditions would you expect real gases to approach ideal behavior? A) low temperature and low pressure B) high temperature and low pressure C) low temperature and high pressure D) high temperature and high pressure E) high temperature and high density 8. Complete the following statement: The first law of thermodynamics states that A) heat is a form of energy. B) entropy is a function of state. C) the entropy of the universe is increasing. D) the change in the internal energy of a system is given by Q-W. E) no engine can be more efficient than a Carnot engine operating between the same two temperatures.

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I Review I Constants A typical helium balloon contains 1.1 g of helium gas. Part A At 20 C room temperature, what is the total kinetic energy of the helium in the balloon? Express your answer with the appropriate units. E = Value Units Submit Request Answer

Question 4 According to kinetic theory of gases, the molecules move in between collisions. Not yet answered Marked out of 1.00 Y Fag question O a. circular shape lines O b. curved lines parabolic shape O d. straight lines

Part A A 2300 cm container holds 0.11 mol of helium How much work must be done to compress the gas to 1100 cm at constant pressure? gas at 350° C. Express your answer with the appropriate units. • View Available Hint(s) HÀ Xb X•10n Value Units %3D Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part B 3 How much work must be done to compress the gas to 1100 cm at constant temperature? Express your answer with the appropriate units. • View Available Hint(s) HA

Q1 Complete the following explanation of inhalation using words from the box. Using the equation PV = constant; if the volume of the thoracic cavity increases the pressure inside the thoracic cavity will When the pressure within the thoracic cavity the lungs. atmospheric pressure, air will is greater than increase exit decrease is smaller than enter Q2 An ideal gas is in a closed container. Which changes to its volume and temperature when taken together must cause a decrease in the gas pressure? Volume Temperature A decrease increase B. decrease decrease C. increase increase D. increase decrease Q3 Under which conditions of pressure and density will a real gas approximate to an ideal gas? Pressure Density A. high high B. high low C. low high O D. low low O O O O

d)What is the root mean square of the speed? e)What is the speed with the highest velocity?Statistical mechanics-physics

%2: QUESTION 2 A room is filled with an ideal gas at a temperature T= 407 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 3 mx 2 mx 5 m. Use the ideal gas law pV = NkT to calculate the number of molecules in the room. The constant k is Boltzmann's constant - if you do not know its value then look it up on Google or in the Constants menu item on Blackboard. Be careful to choose a value with the right set of units for this problem. Note that 1 atm = 1.013 x 10° Pa, where the Sl unit for pressure is pascal (Pa), a Nm2 (Newton, not number). Note that if you use SI units consistently, then your answer will be in terms of number of molecules, which is dimensionless. Submit your numerical answer in exponential form as described in the worksheet instructions, QUESTION 3 If the molecules in a gas are nitrogen (N2) molecules, calculate their root mean squared (RMS) speed, y(), in m/s when T= 300 K. Do not include units in your answer. Hint: You will need to…