Answered: Estimate the temperature at which the…

Estimate the temperature at which the translational motion of anitrogen molecule would freeze out, in a box of width 1 cm.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 68P: Using the method of the preceding problem, estimate the fraction of nitric oxide (NO) molecules at a...

See similar textbooks

Related questions

Q: At temperature T, the internal energy of 1 mol rigid diatomic molecules is =.......

Q: 3.66. Show that the density-series second virial coefficients can be derived from isothermal…

A: in this question we derived the equation from isothermal volumetric data.

Q: at, where cM = 24.9 J/molK? Calculate the percentage of error using t

Q: Experimentally, with a gas thermometer at constant volume, an absolute pressure corresponding to…

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

Q: What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the…

Q: Suppose you are in a room that is at a temperature of 284.01K. What is the approximate RMS velocity…

Q: Determine how many times per second each molecule moving with rms speed would move back and forth…

A: Given: molecule: oxygen Temperature T =4 C =4+273 = 277 K

Q: At what pressure will the mean free path in room-temperature (20°C) nitrogen be 1.3 m ?

A: Given : mean free path, λ= 1.3 m Temperature, T = 20°C = 20 + 273.15 = 293.15 K For N2 molecular…

Q: What, according to the Maxwell–Boltzmann distribution, is the proportion of gas molecules having (i)…

Q: Calculate the internal energy of 25.0 g of low-density oxygen gas (O2) at a temperature of 255 K.

Q: The volume of a monatomic ideal gas triples in an isothermalexpansion. By what factor does its…

A: initial volume = V final volume = 3 V

Q: Consider the cylinder on the right which is filled with an ideal gas. If P is doubled while…

A: Given: The pressure is doubled. The volume is constant.

Q: The mean free path of a the molecule (sphere shape) of air is 5.6 × 10¬8 m at the temperature 297 K…

A: Given: mean free path (λ) = 5.6 x 10-8 m Temperature (T) = 297 K Pressure(P)…

Q: To what temperature must a gas sample initially at 27°C be raised in order for the average energy of…

A: The initial absolute temperature of the gas is, T=27+273.15 K=300.15 K The average energy of a gas…

Q: Under what conditions is the ideal-gas assumption suitable for real gases?

Q: How much error would one expect in determining the specific enthalpy by applying the…

Q: Nitrogen is released at one end of a pressure chamber of length 30 meters and takes 7 hours and 44…

Q: Calculate the mean free path and the collision frequency of air molecules, if the number of…

A: Write the given values with the suitable variables. n=3×1019 /cm3=3×1025 /m3d=2×10-8 cm=2×10-10 mv=1…

Q: What does it mean if the fugacity coefficient is greater than or less than 1? How do I measure the…

A: Fugacity is somewhat related to compressibility but not the same. The expression of Gibbs free…

Q: If the ideal gas law (PV = kT) is used to find P when T and V are given, but there is an error of…

Q: If the temperature of an ideal gas is held constant, the relationship between its pressure in…

Q: An ideal gas consists of 1.50 mol of diatomic molecules that rotatebut do not oscillate.The…

A: Calculate the molar heat capacity for the diatomic molecule.

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

Q: Find the value of (), where(), = a/k and 9, = -Vk, Using Maxwell relation in thermodynamic.

Q: An ideal gas, at pressure 4.9 atmospheres, in a volume 1.1 m3 and at a temperature of 308 K, is…

A: Given data: Initial pressure (P1) = 4.9 atm Initial volume (V1 ) = 1.1 m3 Initial temperature (T1) =…

Q: The partial pressure of carbon dioxide in the lungs is about 470 Pa when the total pressure in the…

A: The expression for ideal gas law is,

Q: Estimate the mean free path of a nitrogen molecule in a cylinder nitrogen at 2 atm and a temperature…

A: Given: The pressure of the gas is 2 atm. The temperature of the gas is 17oC. The radius is 1x10-10…

Q: Find the equation of state of a solid that has an isobaric expansion coefficient dV/dT = 2cT − bp…

Q: Calculate the specific heat CV of a gas whose diatomic molecules have transition, rotation and…

A: Given:- the specific heat CV of a gas whose diatomic molecules have a transition, rotation, and…

Q: A gas is at 20oC. To what temperature must it be raised to triple the rms speed of its molecules?

A: The expression for rms speed of the molecules.From the above equation root mean square speed of the…

Q: Assuming the radius of diatomic molecules is approximately 1.0 × 10-10 m, for what pressure will the…

Q: a massless rod of length 2 meters have two masses m1+5kg is on its left end while m2=2kg attached to…

Q: In ideal gas, what happens to the pressure and temperature if the conainter of gas particles becomes…

A: for ideal gas; P α 1V Boyle's lawandV α T Charles's Law

Q: nd the thermal expansion coefficient and the isoth ompressibility for an ideal gas and show that in…

A: We know that the Ideal gas equation is given as PV = RT ------ eq1 ) here P is the pressure and V…

Q: Calculate the diffusion coefficients of 0.01 μm diameter aerosol particles at a temperature of 20 oC…

Q: A thermocouple, with a spherical junction diameter of 0.5 mm, is used for measuring the temperature…

Concept explainers

Boltzmann statistics of Ideal gas

In statistical mechanics and thermodynamics, Maxwell - Boltzmann statistics explains the statistical distribution of the energies of the classic gas molecules over different states in thermal equilibrium. Maxwell Boltzmann statistics helps us to derive the Maxwell - Boltzmann distribution of ideal gas molecules, which is the result of the kinetic theory of gases.

Question

Estimate the temperature at which the translational motion of a
nitrogen molecule would freeze out, in a box of width 1 cm.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

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?
Check Your Understanding The recommended daily amount of vitamin B3 or niacin, C6NH5 O2, for women who are not pregnant or nursing, is 14 mg. Find the number of molecule of niacin in that amount.
Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)
From the MaxwellBoltzmann speed distribution, show that the most probable speed of a gas molecule is given by Equation 16.23. Note: The most probable speed corresponds to the point at which the slope of the speed distribution curve dNv/dv is zero.
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.
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.
If one kind of molecule has double the radius of another and eight times the mass, how do their mean free paths under the same conditions compare? How do their mean free times compare?
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? `
The best laboratory vacuum pump can generate a vacuum of about 1nTorr (10^-9 Torr). At 25°C and assuming that air consists of N_2 molecules with a collision diameter of 395 pm, calculate... (b) the mean free path,
The root mean square velocity of an oxygen molecule is 1,302.27 m/s. Estimate the temperature at which it is located.
Use the experimental value of the coefficient of viscosity for nitrogen (Table 16A.1) to estimate the collision cross-section of the molecules at 273 K.
Nitrogen is released at one end of a pressure chamber of length 30 meters and takes 7 hours and 44 minutes to diffuse from one end of the chamber to the other. Given that the mean radius of a nitrogen molecule is 0.15 nm, and the chamber is at room temperature (∼300 K), determine the pressure to which the chamber was set (in atm).