Answered: prove average total kinetic energy =…

Science

Physics

prove average total kinetic energy = 2kT for gas molecules crossing a spherical area, with the following equations.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter10: Nuclear Physics

Section: Chapter Questions

Problem 18CQ: IB. Wliv is a PET scan more accurate than a SPECT scan?

See similar textbooks

Related questions

Q: The relation between the density (p) and the pressure (p) of a gas is depicted by the equatiom YP…

A: c = γPρ , where P is pressure and ρ is density and γ is constant. To find = a) Units of c…

Q: Why do the collisions between molecules do not appear in the derivation of the ideal gas law?

A: Introduction: Kinetic theory of gasses is the study and behavior of the gas molecules under the…

Q: A quantity of ideal gas in a ridged container is at T=20oC and particular pressure p. Is the gas is…

A: Scenario - A gas at a certain temperature is heated from one temperature to another higher…

Q: - Consider p-V diagram for an ideal gas shown in figure. PA 1 Constant V V Out of the following…

Q: If He gas has an average kinetic energy of 7610 J/mol under certain conditions, what is the root…

Q: Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as…

A: The expression for the ideal gas,

Q: A sealed cubical container 20.0 cm on a side contains a gas with three times Avogadro’s number of…

A: Part A:

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: Suppose the temperature of 6L of ideal gas drops from 375 K to 175 K. If the volume remains constant…

A: Initial volume of ideal gas = 6 L Initial temperature = 375 k final temperature = 175 k Initial…

Q: Which equation correctly represents the total internal (thermal) energy of a monatomic gas with N…

Q: What are the conditions under which the real gases obey the ideal gas equation?

A: The real gases obey the ideal gas equation PV = RT at high temperature and low pressure. Real gases…

Q: An ideal monatomic gas consists of 4 particles with the following velocities (with unit m/s): v, =î…

Q: A 7.00-L vessel contains 3.50 moles of ideal gas at a pressure of 1.60 x 106 Pa. Find (a) the…

A: Given:Volume of vessel (V) = 7.0 LNumber of moles (n) = 3.5 molesPressure in vessel on gas (P) =…

Q: A 5.80-L vessel contains 3.60 moles of ideal gas at a pressure of 1.60 ✕ 106 Pa. (a) Find the…

A: (a) Apply the Ideal gas equation. PV = nRT T = PV/nR = [(1.60 ✕ 106)(0.00580)]/[(3.6)(8.3142)]…

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

Q: If two gases are at the same temperature the average kinetic energy is for the twc gases: a.…

A: Average kinetic energy of gases is given by: KE_avg = (3/2)*kB*T kB = Boltzmann's constant T =…

Q: Two moles of a krypton gas are at a temperature of 420 K. Calculate the average kinetic energy per…

Q: The simple kinetic theory of gases may be used to drive the expression relating the pressure P to…

A: The pressure due to the gas in terms of density and the is given by P = 13ρc2¯ here, ρ is the…

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

Q: Use the Maxwell distribution to calculate the average value of v2 for the molecules in an ideal gas.…

A: Maxwell's distribution function for speed is given by where, k= Boltzmann constant. T = absolute…

Q: How many molecules are in a typical object, such as gas in a tire or water in a drink? We can use…

A: Ideal gas equation be defined as, Where, P be defined as pressure. V be defined as the volume. T be…

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: You have a container of neon (Ne) gas at 290 K. The volume of the container is 0.1 m3 and the…

A: Assume the container of Neon (Ne) gas at temperature of 290 K. The volume of the container is 0.1…

Q: At what temperature is the rms speed of a molecule of hydrogen gas equal to 2000 m/s? The mass of a…

A: The rms speed of the hydrogen molecule can be calculated using the following equation.

Q: What are the different ways of increasing the number of molecular collisions per unit time in a gas?

A: The ways by which the number of molecular collisions in a gas can be increased are;

Q: The kinetic energy of gas molecules is zero at _______?

A: According to question we need to find--- The kinetic energy of gas molecules is zero at _______?

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 spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness…

A: The relationship between pressure and force is given by P=FA Where F is a force and A is cross…

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: 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: What is the average (rms) velocity of nitrogen (diatomic) gas molecules at 20 degrees Celsius?

Q: If there are 10800000000 collisions per second in a gas of molecular diameter 3.91E-10 m and…

Q: What is the Vrms speed of nitrogen gas (O2 = 32 amu) molecules contained in an 7.3 m3 volume at…

Q: A mono-atomic gas is filled in a heat insulated horizontal cylindrica container at pressure p and…

A: Monoatomic gas is the gas which consists of only one atom. Example of mono-atomic gas is the noble…

Q: The mean free path of molecules of a gas, (radius 'r ') is inversely proportional 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: The rms speed of the molecules of a gas at 133°C is 195 m/s. Calculate the mass m of a single…

A: Write the expression for the rms velocity. Here, k represents the Boltzmann constant, T represents…

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

prove average total kinetic energy = 2kT for gas molecules crossing a spherical area, with the following equations.

Sv'aN
vdN
V = 47v²dv
3/2
m
f(v)dv =
exp(-mv / 2kT4zv dv
2nkT

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

IB. Wliv is a PET scan more accurate than a SPECT scan?
Where did the 12 come from in the original equation? And where did the equation s=ut-1/2gt^2 come from?
What would the spl be with 8 identical sources?
How many half-lives have passed if about 3% (rounded) of the original parent material is left?
Find the associated half life time or doubling time. Q=900e-.025t
If a sample of radioactive material undergoes 9.3092E12 decay events in 34 seconds, how many Curies are contained in the sample?
How did you go from MgH= 1/2MV^2+1/2(2/5Mr^2)(v/r)^2 to gH=v(1/2+2/10)?
mdr.1
A state-of-the-art proton decay experiment is expected to detect 55% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 5 decays per month? (Assume a "month" is one-twelfth of a year.) Express your answer in scientific notation using two significant figures (e.g. 13680.3 would be expressed as 1.4*10^4).
Calculate the CT numbers (HU) for the following tissues at given X-ray beam energies. Indicate whether the beam energy is suitable or not suitable for imaging of that specific tissue type. In the table below, the attenuation coefficients µ (m-1) are listed for each tissue for each of the beam energies. Beam Energy/Tissue 50keV 60keV 150keV Fat 20.17 18.75 14.25 Muscl 23.75 21.50 15.67 Compact Bones 81.45 60.44 28.42 Water 22.69 20.60 15.05
Find Req?
A state-of-the-art proton decay experiment is expected to detect 47% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 2 decays per month? (Assume a "month" is one-twelfth of a year.)