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

Q: The mean free path for a certain gas is 2.03×10−7 m. and the radius of an atom of said gas is…

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Q: A cylinder of diameter S, of height h, contains pure gas with equation PV = nRT at constant…

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Q: There are lots of examples of ideal gases in the universe, and they exist in many different…

A: " Since you have asked Multiple Question, we will solve the First three parts of the Question for…

Q: The R.M.S. speed of the molecules of a gas at N.T.P. is 420 m/s. If the mass of each molecule is 6.8…

A: We have to compute-No. of molecules (n)=?Provided data-RMS speed (C)=420 m/sPressure (P)=105…

Q: A)An ideal gas is confined to a container at a temperature of 330 K.What is the average kinetic…

A: Part (A): Given: The temperature of the gas is 330 K.

Q: A container holds 2.5 moles of an ideal gas at a pressure of 3.5 atmospheres and a temperature of…

A: Number of moles of gas (n) = 2.5 molesPressure (P) = 3.5 atmTemperature (T) = 300 KVolume (V) = 10 L

Q: The mean free path for a gas, with molecular diameter d and number density n can be expressed as:

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Q: The mean free path for a certain gas is 2.18×10−7 m. and the radius of an atom of said gas is…

A: given: mean free path l = 2.18*10-7 mradius of atom r = 1.11*10-11 m

Q: The volume of an ideal gas in a closed system is directly proportional to the number of gas…

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

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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: If the pressure of an ideal monatomic gas is increased while the number of moles is kept constant,…

A: Answer: The expression of average translational energy of monochromatic gas is given by, E=32kT…

Q: A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is 6.31×1020…

A: Write the expression for average translational kinetic energy

Q: Oxygen (O2) gas at 273 K and 1.0 atm is confined to a cubical container 10 cm on a side. Calculate…

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Q: The viscosity (η) of a gas depends on its mass, effective diameter, and average molecular velocity…

A: viscosity of helium = 2 * 10-5 kg/ms viscosity of methane = 1.1 * 10-5 kg/ms effective diameter of…

Q: Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same…

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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 most probable speed for molecules of a gas at 296 K is 263 m/s. What is the molar mass of the…

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Q: A frictionless piston of mass m = 3.0 kg is a precise fit in the narrow vertical cylindrical neck of…

A: (a) Given: The mass of the piston is 30 kg. The volume of the container is 1000 liters. The cross…

Q: A mole of gas has isobaric expansion coefficient dV/dT = R/p and isochoric pressure-temperature…

A: The expression of gas for the isobaric expansion coefficient is given as,

Q: mol of real gas is in a

A: a= 1.875  b = 0.045

Q: An ideal gas is held in a container of volume V at pressure p. The rms speed of a gas molecule under…

A: Given data: The initial pressure of container is p1=p. The initial pressure of container is V1=V.…

Q: The ideal gas law is given by, PV=nRT. According to the ideal gas law equation, if you plot 1/P as…

A: Given that :PV=nRT

Q: A container with volume 1.64 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume…

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Q: If gas pressure (absolute value) for an ideal gas is held constant, the relationship between gas…

A: Given: If gas pressure (absolute value) for an ideal gas is held constant, the relationship between…

Q: The mean free path of molecules of a gas, (radius 'r ') is inversely proportional to :

A:

Q: In a gas at standard conditions, what is the length of the side of a cube that contains a number of…

A: We are aware that, in a gas with conventional configurations, we must determine the length of the…

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.