At an altitude of 20 km the temperature is 217 K and the pressure is 0.050 atm. What is the mean free path of N2 molecules? (σ = 0.43 nm2).

Q: a) At what pressure does the mean free path of argon at 20 °C become comparable to the diameter of a…

A: a). First we have to find the diameter of container, The volume of a spherical container V is given…

Q: These two gases are mixed in a steel vessel. What can you say about the relationship between each…

A: a)partial presuure- I=II because partial pressure depend on mole fraction here both have same mole…

Q: At what pressure does the mean free path of O2 at 35degreesC become comparable to 10 times the…

A: Answer -

Q: At what temperature will the most probable speed of the molecules of the second member of the…

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Q: At what pressure does the mean free path of Argon at 298K become comparable to the size of a 1.000 L…

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Q: a. Consider a speed of 1800 m/s; at which temperature (300 or 1000 K) is the fraction of N2…

A: The Maxwell- Boltzmann distribution graph is plotted between the fraction of molecules per unit…

Q: On a single plot, qualitatively sketch the distribution ofmolecular speeds for (a) Kr(g) at -50 °C,…

A: The molecules of gases are in random motion. The speed of the molecules is affected by the…

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

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Q: If He (g) has an average kinetic energy of 8710 J/mol under certain conditions, what is the root…

A: The root mean square speed of O2 (g) molecules is calculated in step two.

Q: 21.6b Calculate the mean free path of carbon dioxide molecules using σ = 0.52 nm2 at 25°C and (a) 15…

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Q: Place the following gases in order of increasing average molecular speed at 0.00 °C: Ar, NH3, CO,…

A: The formula for average molecular speed = uavg = 8RTπM The formula for root-mean-square speed  =…

Q: At what pressure does the mean free path of argon at 20 °C become comparable to 10 times the…

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Q: When studying the photochemical processes that can occur in the upper atmosphere, it is important to…

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Q: A gas at 77.5 kPa and 17°C occupies a volume of 850cm^3, at what temperature in degrees Celsius…

A: The question is based on the concept of ideal gas equation. we have to use combined gas law equation…

Q: Calculate the density of uranium (VI) fluoride, UF6, at 70.0 °C and 25.0 kPa.

A: density of uranium (VI) fluoride, UF6 = d = ................ Molar mass of UF6 = M = 352 g/mol…

Q: Which has the greater root-mean square speed 235UF6 or 238UF6? If the container that holds a mixture…

A: Root mean square speed : It is one of the methods to measure the average speed of a gas particle. As…

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: The molecular diameter of CO is 3.19 x 10^–8 cm. At 300 K and a  pressure of 100 mm Hg what will be…

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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: Estimate the molar volume of CO2 at 500 K and 100 atm by treating it as a van der Waals gas? a =…

A: Given pressure = 100 atm  Temperature = 500K  a= 3.610 dm⁶atm/mol²  b = 4.29×10-² dm³/mol  We have…

Q: Use the Maxwell–Boltzmann distribution of speeds to estimate the fraction of CO2 molecules at 400 K…

A: The Maxwell-Boltzmann distribution of speeds is calculated from the formula:…

Q: At an altitude of 15 km the temperature is 217 K and the pressure is 12.1 kPa. What is the mean free…

A: Mean free path can be expressed in terms of temperature, pressure, collision diameter. Write the…

Q: O2 (g) effuses at a rate that is how many times that of Cl2 (g) under the same conditions?

A: According to Graham's Law of effusion the rate of effusion of a gas is inversely proportional to the…

Q: Calculate the diameter and the mean free path of argon atoms if the number of collisions made by a…

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Q: Which one of the following gases would have the highest average molecular speed at 25 °C?    CH4…

A: The formula of average molecular speed is  where R = gas constant = 8.314 J/K.mol T = temperature…

Q: Use the Maxwell–Boltzmann distribution of speeds to estimate the fraction of N2 molecules at 400 K…

A: The expression for Maxwell's speed distribution is shown as follows: dNcN=4πM2πRT32c2 exp-Mc22RTdc…

Q: What is the mean free path A of an oxygen molecule O, at 300 K and 4 atm of pressure if the radius…

A: Given : Temperature = 300 K Pressure = 4 atm = 4 X 1.01325 X 105 = 4.053 X 105 Pa…

Q: At what pressure does the mean free path of argon at 25 °c become comparable to the diameter of a…

A: T = 298 K λ= 1.0 dm3 = 0.1 m σ = 0.36 nm2 = 0.36 x 10-18 m2 λ=Rt2σP P=Rt2σλ

Q: If He(g) has an average kinetic energy of 7890 J/mol under certain conditions, what is the root mean…

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Q: Calculate the mean speed and the root mean square speed for the following set of molecules: 10…

A: The mean speed is defined as the arithmetic mean of different velocities possessed by molecules…

Q: What property of molecules of real gases is indicated by van der waal’s constant ‘a’?

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Q: Calculate the volume of carbon dioxide at 20.0°C and 0.941 atm produced from the complete combustion…

A: Given that,Volume of carbon dioxide is 20 degree C Pressure=0.941 atmMass of methane=1 Kg

Q: kT Mean free path is given by 2 %3D oP (a) provide interpretation for relation between A and T. (b)…

A: a) From the given formula of mean free path = KT/ σP we can see that the mean free path is…

Q: The critical constants of methane are pc = 45.6 atm, Vc = 98.7 cm3 mol−1, and Tc = 190.6 K.…

A: Given: pc= 45.6 atmVc= 98.7 cm3 mol-1Tc=190.6K To find: Radius of the molecule

Q: What is the the root-mean-square speed of H2 molecules at 15.4 oC?

A: Root-mean-square speed: The speed of a gas particle depends on the temperature of the gas and its…

Q: 5.) Calculate the most probable speed of an argon gas (39.95 g/mol) at 298K. A. 1.36 x 103 cm/s B.…

A: Given,  The most probable speed of argon at 298 K temperature is:

Q: 4. If you have 200. molecules at 300. K and a "volume" of 10 nm, what is the pressure?

A: Note- There is very little correction is that the unit of volume is - nm^3 or can say nm3 , so I…

Q: A laboratory vacuum pump can generate a vacuum of about 1 nTorr at 27°C. Assuming that air consists…

A: Given data: Temperature (T) = 27o C = 273 + 27 = 300K Diameter (d) = 395 pm = 395 x 10-12 m Pressure…

Q: The critical constants of carbon dioxide are Pc = 72.85 atm, Vc = 94.0 cm3 mol–1, and Tc = 304.2 K.…

A: "a" and "b" constants are known as van der Waals parameters of the gas.

Q: At what pressure will the mean free path in room-temperature (20∘C) nitrogen be 0.70 m

A: The mean free path is defined as the average distance travelled by a particle between two successive…

Q: At what pressure does the mean free path of Argon at 298 K become comparable to the size of a 1.000…

A: Given data,Temperature=298KDiameter=0.339nmwe know,1 nm=10-9mtherefore,0.339nm=0.339×10-9m

Q: At what pressure does the mean free path of argon at 20 °C become comparable to the diameter of a…

A: T = 20 °C = 293 K d = 100 cm3 σ = 0.36 nm2 = 0.36 x 10-9 m2 λ = 100 cm = 1 m Using Formula  λ=KT2σP1…

Q: A 1.50-liter sample has a pressure of 138 kPa at 12°C. What temperature would this sample be if it…

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Q: Calculate the number of methane molecules at 298 K and 1 torr that strike a 1.0 cm^2 surface in one…

A: The  Methane is gas  so for the calculation of  Number of methane molecules ideal gas equation is…

Q: P1C.6 How well does argon gas at 400 K and 3 atm approximate a perfect gas? Assess the approximation…

A: The ideal gas law is, PV=nRT The Van der Waal's equation of state is, (P+aV2)(V−b)=RT where, P is…

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.