Answered: Out of following three gases which are…

Out of following three gases which are satisfying Maxwell-Boltzmann distribution law? (a) Electron gas, (b) Ideal monatomic gas, (c) neutron gas (d) proton gas

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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> In this problem you will consider the balance of thermal energy radiated and absorbed by a person. Assume that the person is wearing only a skimpy bathing suit of negligible area. As a rough approximation, the area of a human body may be considered to be that of the sides of a cylinder of length L = 2.0 m and circumference C = 0.8 m. For the Stefan-Boltzmann constant use o= 5.67 x 10-8 W/m²/K4 Part C Now calculate Por, the thermal power absorbed by the person from the thermal radiation field in the room, which is assumed to be at Troom = 20°C. If you do not understand the role played by the emissivities of room and person, be sure to open the hint on that topic. Express the thermal power numerically, giving your answer to the nearest 10 W. View Available Hint(s) Por= Submit Part D [-] ΑΣΦ. Pnet = 17] ΑΣΦ Find Paet, the net power radiated by the person when in a room with temperature Troom= 20°C. Express the net radiated power numerically, to the nearest 10 W. ▸ View Available Hint(s)…
Consider a gas of atoms obeying Maxwell-Boltzmann statistics. The average value of e"P over all the moments p of each of the particles (where à is a constant vector and a is the magnitude, m is the mass of each atom, T is temperature and k is Boltzmann's constant) is, 1 -a-mkT 3 ²mkT (c) e mer (d) e (а) one (b) zero
(4) Partition function of ideal gas comprising N particles of mass m in potential V(r) in equilibrium at constant temperature T (or ẞ = 1/kT) is given by the following:* Z = 1 3N/2 m d³r N! 2лh²ß Let us consider this ideal gas confined in a box 0 ≤ x ≤ L; 0 ≤ y ≤ L; ho ≤ z≤h₁, and in potential V(x, y, z) = mgz (i.e. uniform gravity). (a) Calculate the partition function and Helmholtz free energy F(B, L, ho, h₁). (b) Calculate the pressures at the bottom and the top of the box, po and P₁. (c) Calculate the heat capacity Cy. Your answer should be different from 3/2R of the monoatomic ideal gas. Consider a realistic measurement (such as the size of the box) of the heat capacity using argon gas (molecular weight = 40 [g/mol]), and describe how the difference between your calculated Cy and ³/2R can be reconciled. *h is a number but no knowledge is needed. It's called "Planck's constant" (see lecture notes).
prove average total kinetic energy = 2kT for gas molecules crossing a spherical area, with the following equations.
1- a) Consider a physical system composed of N identical particles confined to a space of volume V. Write the thermodynamic limit for this system. b) Write condition of ideal gas for real gas. c) Prove B =, where The universal constant k is generally referred to as the Boltzmann constant. d) For a physical system composed of N identical particles at temperatureOand confined to a space of volume V, prove the ideal gas low PV = NkT
What, according to the Maxwell–Boltzmann distribution, is the proportion of gas molecules having (i) more than, (ii) less than the root mean square speed? (iii) What are the proportions having speeds greater and smaller than the mean speed?
1. (1) Use the Maxwell speed distribution function F(v) for an ideal-gas particle to derive the most probable speed v*, average speed u = (v), root-mean-square speed vyms = V(u2) = 3K5", where mis the mass of the ideal-gas particle, kg is the Boltzmann m constant, and T is the temperature. (1I) prove that Vrms >i >v*. (III) Rewrite the Maxwell speed distribution function F(v) as a function related to and v*, i.e., F (, v*). How much percentage do ideal-gas particles distribute at v*±(0.5% v*), v±(0.5% v*), and vms±(0.5% v*), respectively? (IV) Use the Maxwell velocity distribution function f (T) to determine the average velocity of the ideal gas (ī).
A hypothetical speed distribution of gas molecules is defined as follows: P(v) = 0 for 0≤v < vo P(v) = 0.21 for vo ≤ v << 2vo P(v) = 0 for 2v0 < v where P(v) is the probability distribution as a function of speed, v. a) Use the normalisation condition to find the value of v. b) What percentage of the gas molecules has its speed between vo and/vo? c) What percentage of the gas molecules has its speed between 0 and 2 ?
How does the Boltzmann distribution and statistics explain the behavior of an ideal gas in terms of the distribution of molecular energies and the probability of various energy states?
Near the surface of a certain kind of star, approximately one hydrogen atom per 10 million is in the first excited level (n = 2). Assume that the other atoms are in the n = 1 level. Use this information to estimate the temperature there, assuming that Maxwell-Boltzmann statistics are valid.
Explain why in a gas of N molecules, the number of molecules having •v+Av f(v)av. speeds in the finite interval u to u + Au is AN = V
An expensive vacuum system can achieve a pressure as low as 1.00 x 10-7 N/m² at 25.5 °C. How many atoms N are there in a cubic centimeter at this pressure and temperature? The Boltzmann constant k = 1.38 x 10-23 J/K. N = atoms