Using statistical mechanical principles, estimate the mean thickness of the earth's atmosphere in terms of the mass m of a nitrogen molecule, the gravitational acceleration g, and the average atmospheric temperature T. Evaluate your result numerically.
Using statistical mechanical principles, estimate the mean thickness of the earth's atmosphere in terms of the...
Using knowledge of hydrostatics, estimate the total mass of the earth's atmosphere by using atmospheric pressure and the earth's surface area. Show all work.
Estimate the total mass of the Earth's atmosphere, using the known value of atmospheric pressure at sea level. Express your answer to three significant figures and include the appropriate units.
eal gas. 2. Molecules in the Earth's atmosphere. If n is the concentration of molecules at the surface of the Earth, M the mass of a molecule, and g the gravitational acceleration at the surface show that at constant temperature the total number of molecules in the atmosphere is (75) with r measured from the center of the Barth; here R is the radius of the Earth. The integral diverges at the upper linit, so that N cannot be bounded...
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2 P(v) = 41 27 KT 2KT Here m is the mass of the molecule, v is the speed and k is Boltzmann's constant. (a) Find the temperature T, such that the most probable speed is sufficient to escape the earth's gravitational pull. (b) What is this temperature for hydrogen gas?
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation of g with altitude is negligible, and that the atmosphere behaves like an ideal gas. A significant error in this estimate arises from the assumption that the temperature of the atmosphere, T, is isothermal instead of decreasing with altitude. This decrease with altitude y in...
QUESTION 7 Earth's mean radius is RE = 6.37 x100 m; Earth's mass is ME = 5.97x1024kg. A. At what distance above the Earth's surface will the acceleration due to Earth's gravity drop to 0.9g i.e. 9 m/s2? Express your answers in terms of Earth's radius. Round your answer to three decimals. How many kilometers above the Earth's surface is this? Round your answer to the nearest kilometer. B. km. C. At what distance above the Earth's surface will the...
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Part A Compute the Increase in gravitational potentisil energy for a nitrogen molecule (molar mass M-280 g/mol) for an increase in elevation of 550 m near the earth's surface. Subil Request Answer Part B At what temperature is this equal to the average transitional kinetic energy of a nitrogen molecule Submi Part C s possible that a nitrogen molecule near sea level where T-16.0 C could nse 10 an altude of 550 m7 C No Yes Subm Reavest...
6) In the absence of turbulent mixing, the partial pressure of each constituent of air would fall off with PiPleMi8:/RT height above sea level in Earth's atmosphere as where Pi is the partial pressure of component i at height z, Po is the partial pressure of component i at sea level, g is the acceleration due to gravity, R is the gas constant, T'is the absolute temperature, and Mi is the molecular mass of component i. As a result of...
question no 4.22, statistical physics by Reif Volume 5
4.92 Mean energy of a harmonic oscillator A harmonic oscillator has a mass and spring constant which are such that its classical angular frequency of oscllation is equal to w. In a quantum- mechanical description, such an oscillator is characterized by a set of discrete states having energies En given by The quantum number n which labels these states can here assume all the integral values A particular instance of a...
14. Using internet searchable data and an assumed exosphere temperature of 200 °K, assess whether you should expect the following gasses in the atmosphere of Titan. Next to each, write either "escapes" or "bound". Assume no replenishment. Remember, a gas can be assumed to escape if the average velocity is greater than 1/6thof the escape velocity. Useful equations: (3 points) 3 2GMT esc Where: k 0.008 amu km/s2 "m" is in terms of the mass of hydrogen (mH), which is...