How can we calculate the root mean square velocity of gaseous xenon atoms at 25 °C?

Q: Calculate the root mean square speed of a methane molecule (in ms-1) at a temperature of 880.0K.…

A: Root mean square speed of a molecule can be calculated using the equation given below:

Q: Calculate the root-mean-square velocity, in m/s, for an oxygen molecule at 47.0 °C. The universal…

A: The question is based on the concept of RMS speed. we have been given oxygen molecule at a certain…

Q: What is the molecular weight of a gas that diffuses 1/50th as fast as hydrogen?

A: Given : Unknown gas diffuses 1/50th times than that of hydrogen.

Q: Determine the root-mean-square speed (in m/s) of SF6 molecules at 137.1 Torr and 22.17 °C?

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

Q: Calculate the molar mass of a particle with a root mean square velocity of 191.5 m/s at 373 K.

A: The root mean square velocity of gas is given by  vrms = (3RT/M)1/2  where vrms = root mean square…

Q: equal volumes of ammonia (NH3) and ozone (O3), at the same pressure and temperature that they have?

A: We know that for gasses  PV = nRT  n = PV/RT

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

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Q: The two isotopes of uranium, 238U and 235U, can be separated by effusion of thecorresponding UF6…

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Q: Calculate the root mean square velocity of gaseous xenon atoms at 25 degrees Celsius.

A: Conversion of temperature from Celsius to kelvin: 0°C=273.15 K25°C=25+273.15=298.15 K Molar mass of…

Q: Calculate the root-mean-square velocity for an oxygen molecule at –23 °C.

A: The formula required to calculate root mean square velocity is shown below, Here M is the molecular…

Q: Calculate the root mean square velocity of I2(g) at 379 K.

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Q: Calculate the root mean square speed of xenon (Xe) atoms in a sample of xenon gas at 21.2 °C.

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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: Calculate the root mean square speed of helium atoms and nitrogen molecules in m/s at 25°C

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Q: Determine the root mean square velocity of neon atoms at 25.0 C in m/s.

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Q: A sample of neon of mass 425 mg occupies 6.00 dm3 at 77 K. What pressure does it exert?

A: Ideal gas equation:                                                      PV = nRT where, P=…

Q: DETERMINE (i) the most probable speed, (ii) the average speed, and (iii) the square-root- mean speed…

A: Most probable speed, vmp = 2RTM   Average speed, vave = 8RTπM   Root-mean-square speed, vrms =…

Q: Calculate the root mean square velocity, in m/s, of He at 273.0 K. Assume ideal gas behavior.

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Q: 23.1 mL Ne (g) is effected from a small hole to the vacuum in 5.45 seconds. In how many seconds does…

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Q: What is the root-mean-square velocity of O2 gas molecules in the stratosphere where the temperature…

A: Given information,       O2 gas molecules in the stratosphere      Temperature is 260 K

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: If He(g) has an average kinetic energy of 9030 J/mol under certain conditions, what is the root mean…

A: The average kinetic energy of He (g) is 9030 J/mol. The expression of kinetic energy is shown below.

Q: Compare the root mean square velocity of a sample of helium at 50 °C to the root mean square…

A: Root mean square velocity of a gas is directly proportional to square root of temperature and…

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: 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: 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 root mean speed in m/s of O2 at 15°C?

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Q: flask containing 137 cm3 of hydrogen was collected under a pressure of 22 kPa. What pressure would…

A: Boyle's law : According to Boyle's law, At constant temperature, Pressure varies inversely with the…

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: Calculate the root-mean-square velocity for a nitrogen molecule at 30 °C.

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Q: . Compare the root-mean-square speed of helium atomsnear the surface of the sun, where the…

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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: Calculate the root mean square velocity, in m/s, of Ar at 273.0 K. Assume ideal gas behavior.

A: μrms = (3RT/M)½μrms = root mean square velocity in m/secR = ideal gas constant = 8.3145…

Q: Calculate the root-mean-square speed of an O2 molecule with an average kinetic energy of 6.2x10^-21…

A: The average kinetic energy of O2 is 6.2×10-21. The given temperature is 25˚C   The conversion of ˚C…

Q: Since the value of the van der Waals constant b for argon is 0.0322 dm3 / mol, what is the radius of…

A: Given , vander waals constant, b = 0.0322 dm3/mol = 3.22 x 10-5 m3/mol  Radius of Ar atom ,r  = ?

Q: Calculate the root mean square velocity, in m/s, of O2 at 273.0 K. Assume ideal gas behavior.

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Q: Calculate the mean speed of atoms of argon in a gas at 25 oC if the mean speed of neon under these…

A: (A)From the expression of root mean square velocity, it is clear that root mean square velocity of…

Q: Calculate the root mean square velocity, in m/sof carbon dioxide molecules at 100.0 degrees *c

A: First, we will write down what has been given in the question, Temperature (T) = 100.0 °C = 273+100…

Q: Determine the root mean square velocity of He atoms at 25.0°C in m/s.

A: Root mean square velocity can be calculated by using the formula u = 3RTM u = RMS velocity R = Gas…

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: Since the value of the van der Waals constant b for argon is 0.0322 dm3 / mol, what is the radius of…

A: Given that: b = 0.0322 dm3 / mol                        = 0.0322  x 10-3 m3 / mol…

Q: Consider a sample of nitrogen gas, N2, in which the constituent molecules have a root-mean-square…

A: A question based on root mean square velocity, which is to be accomplished.

Q: (a) Compute the root-mean-square speed of H2 molecules     in hydrogen at a temperature of 300 K.(b)…

A: The root mean square speed (μrms) of a substance connects the temperature (T) and the molar mass…

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

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Q: Calculate the root-mean-square speed of Ne atoms at the temperature at which their average kinetic…

A: Given :-  Average kinetic energy of Ne = K = 4.33 kJ/mol = 4330 J/mol  Root mean square speed of Ne…

Q: Determine the root mean square velocity of chlorine molecules at 25.0 C in m/s.

A: Temperature =25°C Used formula- U(rmx)=√(3RT/M) Molar mass of Cl2=70.906g/mol

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.