The density of the distribution of the speed of motion of a molecule along the positive X axis has the form p(s) = 4*squreroot(a3/pi)*s2exp(-as2) (The constant a is determined by the temperature of the gas and the mass of the particle observed; a = m/ (2kT), where k is the Boltzmann constant) • Find the mean distance traversed by the molecule in a unit of time. •  Find the mean value of the kinetic energy of the molecule.

Q: G₂₁ - Cv = T ( 7). (OV). Әр ƏT Use the Euler and reciprocal relations to show that it is equivalent…

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Q: Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the…

A: Given that : The mass of carbon dioxide exhaled by one astronaut = 1.25 kg per day The volume of…

Q: The gas in the discharge cell of a laser contains (in mole percent) 11% CO2, 5.3% N2, and 84% He.…

A: We know density can be calculated using the formula - DRT=PM  Where  D=Density(g/L)…

Q: The molar volume of oxygen, O2, is 3.90 dm3 mol-1 at 10.0 bar and 200 °c. Assuming that the…

A: Various laws explain the properties of gaseous phase. Boyle’ law, Charles’s law, Avogadro’s law,…

Q: The best laboratory vacuum pump can generate a vacuum of about 1 x 10⁹ Torr. At 25° C and assuming…

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Q: What is the final pressure, in atmospheres, when the fire extinguisher is used at a temperature of…

A: since initial pressure is not provided in the question. initial pressure of fire extinguisher at…

Q: V The mean free path A is given by 1 = in few lines explain the V2nd?N' physical significant of 2.…

A: A system called the Active thermal control system  (ATCS) keeps the temperature inside the…

Q: (5) Using the data in Table 1C.3 (from the textbook), calculate the pressure that 2.500 moles of…

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Q: at 1 atm. Assume that the air consists of 100% oxygen. How long does it take to deposit one atomic…

A: The objective of the question is to determine the time taken for the deposition of oxygen layer on…

Q: 1.15(a) A gas at 250 K and 15 atm has a molar volume 12 per cent smaller than that calculated from…

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

A: Cross-sectional Area for Nitrogen is 0.43 nm2 Temperature = 217 K

Q: What is the difference between computational calculations based on Molecular Mechanics and…

A: Computational chemistry is a branch of chemistry that uses computers to assist in solving chemical…

Q: 1.44. The van der Waals constant b can be used to estimate molecular sizes, assuming the molecules…

A: This problem is based on Real gas equation of van der Waals equation. The solution is given below.

Q: E), Determine and ƏT. for the van der Waal fluid. əv. V

A: We have to calculate the given derivatives.

Q: Using a vacuum pump, a vessel containing pure nitrogen gas has its internal pressure reduced to 1.33…

A: Given, Internal Pressure, P = 1.33 × 10-7 Pa Temperature, T = 298 K Collision diameter, d = 395 pm =…

Q: Compare the mean free path of an N2 molecule at an altitude of 15km where the temperature is 217 K…

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Q: Calculate the root mean square velocity of Ne, Ar. and Kr at 316 K. Enter your answers numerically…

A: Molar mass of Ne = 20.18 Molar mass of Ar = 39.90 Molar mass of Kr = 83.80 Root Mean  Square…

Q: 7. You are given two samples of gas at identical P, T, and V, all near room temperature. Gas A is…

A: Root mean square speed is calculated as: vrms=3RTMm  vrms∝1Mm Average kinetic energy of gases is…

Q: Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the…

A: The required mole ratio for the formation of CH4 from CO2 is: 1 mol CH41 mol CO2 or 11

Q: P7.6 The volume of a spherical molecule can be estimated as V = b/4NA where b is the van der Waals…

A: Vander Waal equation is expressed as: P=nRTV-nb-an2V2

Q: Express the van der Waals equation of state as a virial expansion in powers of 1/Vm and obtain…

A: Vander wall equation for real gases is given as,(P+aVm2)(Vm-b)=RT.........1st.Re arranging the above…

Q: The average speed (in meters per second) of a gas molecule is 8RT Vavg where T is the temperature…

A: To Find: To find the value of dνavgdT for Oxygen.

Q: On the basis of Eq. 1.80 with ß = 1/k,T, derive an expression for the fraction of molecules in a…

A: Given that, β=1kBTdPx=Be-mux2β2dux

Q: Calculate the number density for a sample of Argon gas that has a mean free path of 500 Å. (1.000 Å…

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Q: Calculate the number of collisions per second of one hydrogen molecule at 22 °C and 8.00 bar. The…

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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.