Answered: The mean free path of molecules of a…

Science

Physics

The mean free path of molecules of a gas, (radius 'r ') is inversely proportional to :

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 85AP: The mean flee path for helium at a certain temperature and pressure is 2.10107 m. The radius of a...

See similar textbooks

Related questions

Q: If He gas has an average kinetic energy of 6790 J/mol under certain conditions, what is the root…

A: To find the root mean square, we use formula Vrms = RTM here, Vrms is RMS…

Q: The average translational kinetic energy for a molecule (Errans) is given by the following equation:…

A: The average velocity at T = 200 C is given as v2=3kTmv12=3k200mv12=600km Now the kinetic energy at T…

Q: The mean free path for a certain gas is 2.03×10−7 m. and the radius of an atom of said gas is…

Q: A sealed container contains a fixed volume of a monatomic ideal gas. If the gas temperature is…

A: Hey, since there are multiple subpart questions posted, we will answer first three questions. If you…

Q: The rms speed of a gas molecule is more, if: a. temperature is zero b. temperature is less C. molar…

A: Rms speed is depends on mass and temperature

Q: One grám mole of oxygen at 27°C and one atmospheric pressure is enclosed in a vessel.Assuming the…

Q: Y The mean square Density of the speed of gas particles | particles B C D

A: To solve this question, we must use the kinetic theory of gases. A few of the key assumptions for…

Q: A container filled with an ideal gas is connected to a reservoir of the same gas so that the number…

A: From ideal gas equation,

Q: An ideal gas expands in a process in which its pressure depends on the volume as p= p,ea, where Po…

Q: If He gas has an average kinetic energy of 5010 J/mol under certain conditions, what is the root…

A: Given Data : The average kinetic energy of He gas is given as 5010Jmol.

Q: For the ideal-gas equation to be applicable, the assumption is that the gas has a O high density O…

A: High temperature

Q: Calculate the root-mean-square (rms) speed of methane (CH4) gas molecules at a temperature of 325 K.

Q: Explain the relations between microscopic and macroscopic quantities in a gas?

A: Kinetic theory of gases provides precise relationship between microscopic view of gases and…

Q: The mean free path for a gas, with molecular diameter d and number density n can be expressed as:

Q: The mean free path of an oxygen gas molecule under a pressure of 1 atmosphere at 0° C is about 6 ×…

Q: If three molecules have velocities 0.5,1,2km/s respectively, calculate the ratio of the root mean…

A: Let the velocities of the three molecules be denoted as v1, v2 and v3.Let the root mean square…

Q: By what factor does the gas pressure change if the vo halved? Pr Pi

A: Let the initial Pressure, Volume and Temperature be P1, V1, T1 and final pressure be P2, V2 and T2 .…

Q: Two moles of an ideal gas are placed in a container whose volume is 8.2 x 103 m3. The absolute…

Q: Some N2 gas is placed in an ultrahigh vacuum chamber at 18.9°C. If N2 has a collision diameter of…

Q: A gas is at 35 °C. Part A To what temperature must it be raised to triple the rms speed of its…

Q: Initially, the translational RMS speed of an atom of a monoatomic ideal gas is 250 m/s. The pressure…

A: Formula of rms speed of gas is as follows; vrms=3PVM…

Q: For a quantity of gas at a constant temperature, the pressure P is inversely proportional to the…

Q: prove average total kinetic energy = 2kT for gas molecules crossing a spherical area, with the…

A: At normal temperature the molecules are randomly moving in an ideal gas. The velocities of the…

Q: Some N2 gas is placed in an ultrahigh vacuum chamber at 18.9°C. If N2 has a collision diameter of…

A: GivenP = 471 x 10-9torr = 6.27 x 10-5 Pa (itorr = 133.32 Pa)T = 18.9°c = 291.9kd = 395 pm =…

Q: What is the average kinetic energy of a gas molecule at 100°C?

Q: If you double the typical speed of the molecules in a gas, by what factor does the pressure change?…

A: The expression for the average speed of a gas molecule, From the above equation, the temperature…

Q: The most probable speed for molecules of a gas at 296 K is 263 m/s. What is the molar mass of the…

Q: gas is at 24 ∘C. To what temperature must it be raised to triple

Q: An engine cylinder has a compression ratio (r) of 7.5, a clearance volume of 35 cm3 and a piston…

Q: What is the total translational kinetic energy of the gas molecules of 0.4200 mol of air at…

Q: A mole of gas has isobaric expansion coefficient dV/dT = R/p and isochoric pressure-temperature…

A: The expression of gas for the isobaric expansion coefficient is given as,

Q: When the number density of gas molecules increases, there is a decrease in their mean free path.

A: The average distance between two successive collisions is the mean free path . it is denoted by l.

Q: What is the mean translational kinetic energy of a perfect gas molecule at temperature T?

Q: Find (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen…

A: Given : Temperature, T = 295 K

Q: Helium atoms have a mass of 4u and oxygen molecules have a mass of 32u, where u is defined as an…

A: The translational kinetic energy of a gas is given by Hence, average translational kinetic energy…

Q: A gas contains 5 molecules with an instantaneous velocity of 2 m/s, 10 molecules with an…

A: The average velocity is given by vavg = ∑nivi∑ni The RMS or root mean squared velocity is given by…

Q: Show that the rms speed of molecules in a gas is given by ЗР Vrms where P is the pressure in the…

A: to show; vrms=3Pρ here P : pressure and ρ: gas density

Q: (II) At about what pressure would the mean free path of air molecules be (a) 1.0 m and (b) equal to…

Q: From the ideal gas equation, PV = nRT, derive an equation that relates the molar mass (or molecular…

A: ideal gas equation,PV=nRT where P is the pressure of the gas V is the volume of gas n is the number…

Q: and an Oxygen H, =16. Both gas can be considered as ideal gases. At the same room temperature 20 C,…

Q: The mean free path for helium at a certain temperature and pressure is 2.10 × 10−7 m. The radius of…

A: Given data: The mean free path is, λ=2.10*10-7 m The radius is, r=1.10*10-11 m Step 1 (a) The mean…

Q: If three molecules have speeds v1, v2, v3 respectively, what will be their average speed and root…

Concept explainers

Diatomic Gas

Molecule, is a collection of two or more atoms together (which constitute the smallest observable unit) into a pure material. There are some ways to represent the structure of a molecule. Factor symbols represent atoms in Lewis structures, and dots represent electrons that accompany them. A pair of mutual electrons (covalent bond) may be represented by a single dash. The ball-and-stick model depicts the spatial structure of the atoms better.

Question

The mean free path of molecules of a gas, (radius 'r ') is
inversely proportional to :
Vr

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Compute the density in units of of an ideal gas under the following conditions: a) At and Torr pressure (1 Torr = 1mm Hg) this is called loschmidt number. b) In a vacuum of Torr at room temperature . This number is useful one for the experimentalist to know by heart. (10^-3 Torr = 1 micron)
If gas pressure (absolute value) for an ideal gas is held constant, the relationship between gas temperature and volume is direct inverse of the form y = mx + c O parabolic
Avagadro's number (6.023 × 1023) is a pure (unitless) number which serves as a good standard for measuring the number of molecules in ideal gases at STP. A)What is the volume, in cubic kilometers, of Avogadro’s number of sand grains, if each grain is a cube with an edge length of 1.3 mm and the cubes are densely packed (with no air between them). B) How long, in kilometers, would a beach have to be for this sand to cover it to a depth of 10.0 m? Assume a beach is 100.0 m wide, and you can neglect the air spaces between the grains.
The R.M.S. speed of the molecules of a gas at N.T.P. is 420 m/s. If the mass of each molecule is 6.8 x 10 26 kg, calculate the number of molecules per cubic meter of the gas (atmospheric pressure P = 105 N/m²).
How many molecules are in a typical object, such as gas in a tire or water in a drink? We can use the ideal gas law to give us an idea of how large N typically is.Calculate the number of molecules in a cubic meter of gas at standard temperature and pressure (STP), which is defined to be 0ºC and atmospheric pressure.
The gas law for an ideal gas at absolute temperature T(in kelvins), pressure P (in atmospheres), and volume V(in liters) is PV=nRT, where is the number of moles ofthe gas R =0.0821 and is the gas constant. Suppose that,at a certain instant P=8.0, atm and is increasing at a rateof 0.10 atm/min and V=10L and is decreasing at a rateof 0.15 L/min. Find the rate of change of T with respect totime at that instant if n=10 mol.
Two containers of equal volume each hold samples of the same ideal gas. Container A has 3 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.
The Ideal Gas Law is given by the equation: PV — пRT Where: P = pressure V = volume n = moles T = temperature in Kelvin In order to solve for the moles, n, you must multiply both sides of the equation by the same expression: PV × = nRT × The resulting equation is: n =
The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. If a cylinder of 50 liters contains oxygen at a temperature of 200 K and a pressure of 5 atmospheres, what would the gas pressure be if the volume was changed to 30 liters and the temperature raised to 240 K?
The root-mean-square speed of molecules in a gas is:
(1) Hydrostatic balance states Әр Equation -1 -Pg, where p is pressure, z is altitude, pis density and g is the acceleration due to gravity. It can be shown that the reciprocal of hydrostatic balance also applies. That is Equation -2 Əz Əz Әр 1 pg Use the ideal gas law (p = pRT, where R is the gas constant for dry air and T is temperature) to eliminate p from (2). (2) Under geostrophic balance, the following balance is approximately satisfied Equation -3 fu = -g (³3), ду where f is the Coriolis parameter, u is the zonal wind, y is meridional distance and z is altitude. (Note that the derivative on the right hand side is taken at constant pressure.) Differentiate (3) with respect to p, and use your expression from part 1 to obtain an expression relating du/ap and OT/oy. This expression is called "thermal wind balance".
Problem 5: Any ideal gas at standard temperature and pressure (STP) has a number density (atoms per unit volume) of p = N/V = 2.68 × 1025 m²3. How many atoms are there in 11 cubic micrometers, at STP? N =| atoms