Suppose that a 1.00 cm' box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.00 × 10 g. The particle is initially moving perpendic- ular to one of the walls of the box at a speed of 400 m/s. Assume that the collisions of the particle with the walls are elastic. (a) Find the mass density inside the box. (b) Find the average pressure on the walls perpendi- cular to the particle's path. (c) Find the average pressure on the other walls. (d) Find the temperature inside the box. Discuss the as- sumption of elastic collisions, in light of this result.

Q: The relation between the density (p) and the pressure (p) of a gas is depicted by the equatiom YP…

A: c = γPρ , where P is pressure and ρ is density and γ is constant. To find = a) Units of c…

Q: Helium gas is in a cylinder that has rigid walls. If the pressure of the gas is 4.00 atm, then the…

A: Given:RMS speed of the helium gas at 4 atm pressure = 176 m/s

Q: The average translational kinetic energy for a molecule (Errans) is given by the following equation:…

A: The average velocity at T = 200 C is given as v2=3kTmv12=3k200mv12=600km Now the kinetic energy at T…

Q: What percentage of the standard atmospheric pressure (1 atm) is this?

A:

Q: What is the difference in molar Gibbs energy, due to pressure, when a system moves from the ocean…

A:

Q: During one second, 10 million argon atoms (M = 39,498 g / mol) collide with one of the walls of the…

A: NOTE : As per bartleby guidelines, we can answer only first 3 parts of a question. For remaining…

Q: The following results show the variation of the second-order rate ce pressure “P" at 25 °C ressure…

A: The variation of the second-order rate constant "k" with the hydrostatic pressure "P" at 25 0C is…

Q: The best laboratory vacuum pump can generate a vacuum of about 1nTorr (10^-9 Torr). At 25°C and…

A:

Q: Calculate the root-mean-square (rms) speed of methane (CH4) gas molecules at a temperature of 325 K.

A:

Q: The lowest pressure attainable using the best available vacuum techniques is about…

A:

Q: At what temperature will the rms speed of a molecule is quarter of that of it has at a temperature…

A:

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

A:

Q: The rms speed of a gas molecule is more, if: O a. molar mass of the gas is less O b. molar mass of…

A:

Q: If one could somehow (pretend) get the temperature of an ideal gas to be absolute zero (i.e., 0 K)…

A: at absolute zero temperature scale (0K) the volume of an ideal gas would be zero than all the…

Q: Consider a symmetrical U-shaped tube, of circular section and internal diameter d<<R, containing an…

A: Given that:Denisty of fluid=ρInitial height of rotating branch=LInitial pressure of the gas=…

Q: Find the rms speed of (a) a helium molecule at 300 K; (b) an iron atom of mass 55.9 u at 300 K; (c)…

A:

Q: Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy…

A: Given: The temperature is T=245 K. The molecule’s average kinetic energy is Kavg=32kBT.   The…

Q: An ideal gas is confined in a box that initially has pressure P.  If the absolute temperature of the…

A:

Q: The rms speed of an oxygen molecule at 0 °C is 380 m/s. If the molar mass of oxygen is 32 g and that…

A:

Q: The sum of the kinetic and potential energies of all the atoms and molecules in a substance is known…

A: In this problem, it is asking about the sum of kinetic energy and potential energy of all atoms and…

Q: In the hot gases of an automotive engine's cylinders, temperatures may exceed 3100 k.  What would be…

A: Given In the hot gases of an automotive engine's cylinders, temperatures may exceed 3100 k. The mass…

Q: The law of a confined ideal gas is P V = k T, where P is pressure, V is the volume, T (in Celsius)…

A:

Q: Real gases For helium gas, the critical temperature is Tk=5.2K and the critical pressure is…

A:

Q: From the thermodynamic identity dU = T do -p dV+µ dN , for a closed system of fixed composition,…

A:

Q: The equipartition theorem states that each term in the particle's energy depending on a squared…

A: Given: Relation between the kinetic energy and total mechanical energy is, 12mv2=12kT

Q: Give the temperature T of 1 mole of ideal gas as a function of the pressure P, volume V,  and the…

A: Temperature of 1 mole ideal gas is to be given in terms of P, V and R Internal energy(U) of diatomic…

Q: Under what conditions is the ideal-gas assumption suitable for real gases?

A:

Q: 8. (II) Show that the rms speed of molecules in a gas is given by vms p is the gas density. 3P/p,…

A:

Q: The spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness…

A: The relationship between pressure and force is given by P=FA Where F is a force and A is cross…

Q: The potential function between molecules of a simple non-polar gas, when the mass centres are…

A:

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

A: Explanation and solution shown in the picture below ?

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: A research group recently made an interesting discovery, while studying laser interactions with…

A: The expression for the rms speed of a nitrous oxide molecule is written as, Here, R, T and M…

Q: The rms speed of a gas molecule is more, if: O a. temperature is less O b. temperature is zero O c.…

A:

Q: Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy…

A: Kavg = (3/2)(KBT) = (3/2)(1.38 * 10-23)(245) = 5.0715 * 10-21 Joules

Q: In Maxwell-Boltzmann statistics the particles of an assembly are considered distinguishable, and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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.