Determine the mean free path of oxygen molecules in air at 25.0 ºC, given that the collision frequency for oxygen in air is 5.3 × 10 collisions per second and the collision diameter of an oxygen molecule is 3.7 × 10 m.

Q: Uranium hexafluoride containing fissionable U-235 atoms, 235UF6 (molar mass = 349.03 g/mol), can be…

A: Grahams’s Law of diffusion states that the rate of diffusion of a substance is inversely…

Q: An “empty” gasoline can with dimensions 15.0 cm by 40.0 cm by 12.5 cm is attached to a vacuum pump…

A: Here the given pressure in Pa since Pa is the unit of pressure and unit of pressure=force of 1 N/m2…

Q: Calculate the root mean square velocity and kinetic energy of CO, CO2, and SOz at 298 K. Which gas…

A: Formula of root means square velocity is: v = 3RTM               .....(1) where, R= gas constant =…

Q: Calculate the most probable speed, the mean speed, and the mean relative speed of CO2 molecules at…

A: Conversion of temperature from ˚C to K: Calculation of average speed of CO2 at 20˚C: where R is…

Q: Calculate the root mean square velocity of CO2 at 50 0C

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Q: At what temperature will molecules of oxygen have the same root-mean-square velocity as molecules of…

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Q: At an altitude of 8 kilometers, at what rate is the atmospheric pressure changing (with respect to…

A: The atmospheric pressure at the given altitude is calculated as shown below.…

Q: The rate of effusion of Ar gas through a porous barrier is observed to be 8.98 x 10-4 mol/h. Under…

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Q: Two of the most abundant noble gases in the Earth's atmosphere are Argon and Neon. Calculate the…

A: Given: The gases are argon (molar mass of 39.95 g/mol) and neon (molar mass of 20.18 g/mol).

Q: Calculate the ratio of the number of ozone molecules with a speed of 1300 m/s at 360 K to the number…

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Q: Assuming it behaves as an ideal gas, calculate the temperature of HCl if it has an average…

A: Average translational kinetic energy, KE = 6970 J/mol k = 1.38 x 10-23 J/K

Q: Determine the density of argon gas at room temperature (25oC) and 100 kPa.

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Q: The rate of effusion of SO2 gas through a porous barrier is observed to be 7.64 x 10-4 mol/h. Under…

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Q: The root-mean-square speed of CO at 121.7 °C is m/s.

A: We know the root mean square(r.m.s.) speed of a gaseous molecule is given as-

Q: 9. A gas of unknown molecular weight is found to diffuse at a rate of 0.19 cm/s compared to 0.59…

A: rate of effusion of the first gas  =0.59 cm/srate of effusion of the secound gas  =0.19 cm/smolar…

Q: At about what pressure would the mean free path of air molecules be (a) 0.10 m and (b) equal to the…

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Q: The speed that a body of any mass must have to escape from the earth is 1.07 x 10ª m s-'. At what…

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Q: Calculate the ratio of the effusion rates of N2 to that of N2O Group of answer choices 0.637 1.61…

A: Since more is the molar mass of gas, heavier is the gas. Hence less will be the rate of effusion

Q: Calculate the root-mean square velocity in centimeters per second of N2 molecules at 270C. Repeat…

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Q: At what temperature does the speed of carbon dioxide molecules, CO2, equal 350.0 m/sec?

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Q: Calculate the height of a column of water at 25 °C that corresponds to normal atmospheric pressure.…

A: Given data contains, Temperature is 25°C. Density of water is 1.0g/cm3=1000kg/m3 Value of…

Q: Calculate the root mean square velocity and kinetic energy of F2, Cl2, and Br2 at 298 K. Rank these…

A: The root-mean square (RMS) velocity is the value of the square root of the sum of the squares of the…

Q: Calculate the root-mean-square average speed of a nitrogen molecule in air at 21 C.

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Q: A hot-air balloon ascends to a height at which the surrounding air pressure is  1/5 of that on the…

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Q: The rate of effusion of a gas, r, is inversely proportional to the square root of its molar mass, M.…

A: The effusion is a process of gas when gas passes through a hole that has a diameter less than the…

Q: Two of the most abundant noble gases in the Earth's atmosphere are Argon and Neon. Calculate the…

A: Given: The gases are argon (molar mass of 39.95 g/mol) and neon (molar mass of 20.18 g/mol).

Q: Determine the ratios of (i) the mean speeds, (ii) the mean translational kinetic energies of He…

A: The mean speeds of the gas are inversely related to its square root of the molar mass (mm). For…

Q: At a certain temperature, the speed of six gaseous molecules in a container are 2.0 m/s, 2.2 m/s,…

A: Root mean square value is devired as square root of mean square or it is the sum of square of…

Q: Calculate the value of the root-mean-square speed of ozone molecules in the stratosphere, where the…

A: The formula of the root-mean-squared velocity is in the figure whereWhere,Vrms = the…

Q: f 250 mL of methane, CH4, effuses through a small hole in 28 s,what is the time required for the…

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Q: The rate of effusion of NO2 gas through a porous barrier is observed to be 5.28 x 10 mol/h. Under…

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Q: Suppose that a woman weighing 130 Ib and wearing high heeled shoes momentarily places all her weight…

A: Pressure is deefined as the force per unit area. Mathematically,

Q: The molecular diameter of CO is 3.19 x1 08 cm. At 295 Kelvin and a pressure of 100 mm Hg, the number…

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Q: Determine the ratios of (i) the mean speeds, (ii) the mean translational kinetic energies of H2…

A: Given Temperature is constant. T = 20oC  Formula  Mean speed = 8RTπM  Mean Translation kinetic…

Q: The rate of effusion of CO₂ gas through a porous barrier is observed to be 3.71 x 10 mol/h. Under…

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Q: What's the definition of rate of effusion and write Graham's Law equation with respect to his…

A: Graham Law of effusion: The rate of effusion of a gaseous substance is inversely proportional to the…

Q: (a) Place the following gases in order of increasing averagemolecular speed at 25 °C: Ne, HBr, SO2,…

A: The molecular speed of gas molecules is inversely proportional to the root of their molar mass.…

Q: 18. A sample of N20 effuses from a container in 42,0 seconds. How long will it take the same amount…

A: The effusion of gas obey Graham law

Q: time

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Q: Assume that air consists of N2 molecules with collision diameter of 395 pm. Calculate a) the mean…

A: Assuming standard temperature and pressure condition, the mean speed of the molecules can be…

Q: The rate of effusion of CO2 gas through a porous barrier is observed to be 2.23 x 104 mol/h. Under…

A: Here Graham's law will be used as per which the rate of effusion of any gas will be proportional to…

Q: Calculate the root mean square velocity and kinetic energy of CO, CO2, and SO3 at 298 K. Which gas…

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Q: What is the root mean square (rms) velocity of the CH4 molecule at 209 K?

A: Given, Temperature (T) = 209 K Root mean square (Crms) velocity of the CH4 molecule = ? Note: molar…

Q: A 50.0 cm³ sample of nitrogen gas is collected at 101.3 kPa. If the volume is reduced to 5.0 cm³,…

A: Boyle's law: The pressure (P) of a fixed mass of a gas at constant temperature, is inversely…

Q: Calculate the root-square-mean velocity of O2 molecules with an average kinetic energy of 10 kj /…

A: Average kinetic energy of the gas molecule is given by (3/2)kT Root square mean velocity of the gas…

Q: Gaseous neon is observed to effuse through a tiny hole at a rate of 1.90 cm3/min. An unknown gas is…

A: According to Graham's law of effusion, rate of effusion is inversely proportional to molar mass of…

Q: Use the kinetic theory of gases to determine the molar mass of molecules with root-mean-square speed…

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.