To give a helium atom nonzero angular momentum requires about 21.2 eV of energy (that is, 21.2 eV is the difference between the energies of the lowest-energy or ground state and the lowest-energy state with angular momentum). The electron-volt or eV is defined as 1.60 × 10−19 J. Find the temperature T where this amount of energy equals kB T/2. Does this explain why we can ignore the rotational energy of helium for most purposes? (The results for other monatomic gases, and for diatomic gases rotating around the axis connecting the two atoms, have comparable orders of magnitude.)

Q: The diameter of a gas molecule is 2:4 x 1-10 m. Calculate the mean free path at NTP. Given Boltzmann…

A:

Q: What would the pressure ? of an ideal gas be if the mean free path was 1.30×102 cm? Assume that the…

A: The expression for the mean free path is written as, Here, λ, R, T, d, NA and P represent the mean…

Q: Two moles of an argon gas are at a temperature of 350 K. Calculate the average kinetic energy per…

A: number of moles (n) = 2 Temperature (T) = 350 kelvin

Q: (a) The inside of a hollow cylinder is maintained at a tem- perature T, and the outside is at a…

A: It is given that,

Q: At what temperature does the rms speed of (a) H2 (molecular hydrogen) and (b) O2 (molecular oxygen)…

A:

Q: The gas of oxygen at temperature 100 °C can be treated as ideal gas. (a)What is the internal energy…

A:

Q: Temperature is a measure of the molecule’s average of which of the following? (a) kinetic energy (b)…

A: The molecules of the hot gas move faster than the molecules of the cold gas.

Q: What is the RMS speed of a CO2 molecule at 27.0° C? Sone useful information: Mcarbon = 12 g/mole and…

A: Given: The temperature of the gas is 27oC.

Q: molecules, with a molar mass of 2.016 g/mol, in a certain gas have an rms speed of 385 m/s. -What…

A: Given  Vrms = 385 m/s  Molar mass = 2.016 g/mol = 2.016 ×10-3 kg/mol

Q: For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure…

A:

Q: The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50° C is 2000 m/s. Note that 1.0…

A:

Q: Calculate the specific heat capacity at constant volume of water vapor, assuming the nonlinear…

A: molar mass of water M =18*10-3 kg/mol let specific heat capacity is denoted by cv (small c) and…

Q: .5 moles of Neon gas have a total kinetic energy of 1.83 kJ and has a volume of 0.935 m3. Without…

A: Given Data: Gas →Neon Neon moles, n=0.5 Total K.E. for given moles, K.Ei=1.83 kJ=1.83×103 J Initial…

Q: An argon-40 atom has a mass of 6.64 ✕ 10−26 kg.   (a) What temperature (in K) would a gas composed…

A:

Q: What is the rms (root means square) speed of nitrogen molecule at a temperature of 400 K ?Assume…

A:

Q: Find the RMS (root-mean-square) speed of Helium gas molecules with 4 atomic mass units per molecule…

A: Temperature of gas= 380 K

Q: A cylinder contains 10 moles of Neon gas at 36.85 degree Centigrade temperature. The molar mas of…

A: Inductive reactance = wL

Q: What is the root mean square velocity, vrms, for Helium atom (He) at 66oC? Hint: How many amu does…

A: Write the given values with the suitable variables. T=66 °C=339 Kk=1.38×10-23 J/K Here, T is the…

Q: Calculate the RMS velocity of hydrogen molecule at 127 deg C. The density of hydrogen at NTP is 0.09…

A: Given: Temperature, T= 127o C = 400K Density of hydrogen gas = 0.09 kg/m3 To find: RMS velocity of…

Q: Consider 1.5 mol of pure nitrogen gas N2 which we will treat as a diatomic ideal gas. From 100 K to…

A:

Q: Three moles of an argon gas are at a temperature of 275 K. Calculate (a) the kinetic energy per…

A: Part A:

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: You measure the average free path λ and the average collision time τ of the molecules of a diatomic…

A:

Q: At what temperature would the rms speed of nitrogen atoms equal the following speeds? (Note: The…

A: Given: The mass of the nitrogen is 2.32x10-26 kg.

Q: The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50∘C is 2000 m/sm/s. Note that…

A: we know, translational Kinetic energy(KE) of a gas molecule is given by,(KE)trans=32KT......(1)where…

Q: The rms average speed of a nitrogen molecule at 20 K is 133.427875 m/s. What is the rms average…

A:

Q: The molar specific heat of a diatomic gas is measured at constant volume and found to be 29.1 J/mol…

A: Molar specific heat of gas molecules is decided by the degrees of freedom. Degrees of freedom are…

Q: The temperature of a gas consisting a rigid diatomic molecules is T K. Calculate the angular root…

A:

Q: The lowest possible temperature in outer space is 2.7 K. What is the rms speed of hydrogen molecules…

A:

Q: Suppose a 2.5 g oxygen gas is in a 4 L container. Assume the diameter of oxygen is 3.55 Angstroms.…

A: Mass of oxygen in container m = 2.5 g = 2.5 x 10-3 kg VVolume of container V = 4 L = 4 x 10-3 m…

Q: Initially a gas of diatomic molecules is contained in a cylinder of volume V at a pressure P and…

A:

Q: Consider nitrogen gas in a container at temperature T= 225 K. A molecule's average kinetic energy is…

A: For the given problem the kinetic energy is given by as the relation KE = 32kbTwhere, kb =…

Q: The escape speed from the Moon is much smaller than from Earth, around 2.38 km/s. a) At what…

A: The given values are,

Q: Consider a molecular two-level system with a twofold degenerate ground state (la- beled “0") and a…

A: The Boltzmann distribution gives the average number of particles at a certain energy level is:Here,…

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

A:

Q: Figure CQ10.9 shows Maxwell speed distributions for three different samples of oxygen (O2) gas. (a)…

A: The relation between the temperature and the rms speed is

Q: Following a collision between a large spacecraft and an asteroid, a copper disk of radius 28.0 m and…

A: Given: The radius of the disk is r = 28 m, The thickness of the disk is t = 1.20 m The angular speed…

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.