The average translational kinetic energy for a molecule (Erans) is givenby the following equation:Etrans =mv?Where m is the mass of the molecule and v? is the average of the squareof the velocity. Given v2 = 3kT/m where k is the Boltzmann's constant,calculate the ratio of the kinetic energies at 200 °C and 100 °C

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

The average translational kinetic energy for a molecule (Errans) is given by the following equation: Etrans Where m is the mass of the molecule and v2 is the average of the square of the velocity. Given v2 = 3kT/m where k is the Boltzmann's constant, calculate the ratio of the kinetic energies at 200 °C and 100 °C

The average translational kinetic energy for a molecule (Errans) is given by the following equation: Etrans Where m is the mass of the molecule and v2 is the average of the square of the velocity. Given v2 = 3kT/m where k is the Boltzmann's constant, calculate the ratio of the kinetic energies at 200 °C and 100 °C

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 42P: What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the...

See similar textbooks

Similar questions

What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5104 Pa (the room is at fairly high elevation) and die temperature is 21 ? Is any item of data unnecessary for the solution?
Using a numerical integration method such as Simpson's rule, find the fraction of molecules in a sample of oxygen gas at a temperature of 250 K that have speeds between 100 m/s and 150 m/s. The molar mass of oxygen (O2) is 32.0 g/mol. A precision to two significant digits is enough.
The partial pressure of carbon dioxide in the lungs is about 470 Pa when the total pressure in the lungs is 1.0 atm. What percentage of the air molecules in the lungs is carbon dioxide? Compare your result to the percentage of carbon dioxide in the atmosphere, but 0.033%.
One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `
The mean flee path for helium at a certain temperature and pressure is 2.10107 m. The radius of a helium atom can be taken as 1.101011 m. What is the measure of the density of helium under those conditions (a) in molecules per cubic meter and (b) in moles per cubic meter? `
On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?
What is the ratio of the average translational kinetic energy of a nitrogen molecule at a temperature of 300 K to the gravitational potential energy of a nitrogen-molecule-Earth system at the ceiling of a 3-m-tall room with respect to the same system with the molecule at the floor?
The mean free path for methane at a temperature of 269 K and a pressure of 1.11105 Pa is 4.81108 m. Find the effective radius r of the methane molecule.
An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?
The density of the distribution of the speed of motion of a molecule along the positive X axis has the form p(s) = 4*squreroot(a3/pi)*s2exp(-as2) (The constant a is determined by the temperature of the gas and the mass of the particle observed; a = m/ (2kT), wherek is the Boltzmann constant)• Find the mean distance traversed by the molecule in a unit of time.• Find the mean value of the kinetic energy of the molecule.
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.
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.