Show that the RMS velocity of gas molecule is directly proportional to square root of its absolute temperature

Q: The RMS speed of a Hydrogen molecule (H2) at a temperature of 158°C is (in m/s):

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Q: The diameter of a gas molecule is 2:4 x 1-10 m. Calculate the mean free path at NTP. Given Boltzmann…

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Q: (I) Calculate the rms speed of helium atoms near thesurface of the Sun at a temperature of about…

A: GivenHelium atom near the surface of the sun havingTemperature T = 6000 K

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: Suppose you are in a room that is at a temperature of 252.16K.  What is the approximate RMS velocity…

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Q: The rms speed of a certain sample of carbon dioxide molecules, with a molecular weight of 44.0…

A: GivenMCO2=44 g/molevCO2=396 m/sMH2O=18 g/mole

Q: Derive an expression for the rms speed of gas molecules.

A: According to Ideal gas law,

Q: Please help me there are multiple parts, double check your answer as previous tutors got it wrong.

A: The equation for the rms speed is given by,

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

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

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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…

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Q: velocity gas at thermodynamic equilibrium is given by the formula 3/2 aN, = 4rv'N exp - mv |dv 2kT m…

A: Given expression representing how many molecules are moving between velocities v and v+dv using…

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

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Q: What is the rms (root means square) speed of nitrogen molecule at a temperature of 400 K ?Assume…

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Q: A gas is at 35 °C. Part A To what temperature must it be raised to triple the rms speed of its…

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Q: Find the RMS (root-mean-square) speed of Helium gas molecules with 4 atomic mass units per molecule…

A: Temperature of gas= 380 K

Q: A cylinder contains 10 moles of Neon gas at 36.85 degree Centigrade temperature. The molar mas of…

A: Inductive reactance = wL

Q: Suppose you are in a room that is at a temperature of 284.01K.  What is the approximate RMS velocity…

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Q: Calculate the RMS velocity of hydrogen molecule at 127 deg C. The density of hydrogen at NTP is 0.09…

A: Given: Temperature, T= 127o C = 400K Density of hydrogen gas = 0.09 kg/m3 To find: RMS velocity of…

Q: Use the Maxwell distribution to calculate the average value of v2 for the molecules in an ideal gas.…

A: Maxwell's distribution function for speed is given by where, k= Boltzmann constant. T = absolute…

Q: Calculate the temperature at which the rms speed of the hydrogen gas would equal the rms speed of…

A: The square root of the average of the squared speed of the particles inside the gas is defined as…

Q: The mean free path of a the molecule (sphere shape) of air is 5.6 × 10¬8 m at the temperature 297 K…

A: Given: mean free path (λ) = 5.6 x 10-8 m            Temperature (T) = 297 K             Pressure(P)…

Q: What is the average kinetic energy of a nitrogen molecule (N2) if its rms speed is 560 m/s? At what…

A: M=Molar Mass of N2 molecule=2×14.003 g/molNA=Avogadro number=6.022×1023 mol−1m=Mass of N2…

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

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Q: Calculate the temperature at which rms speed of gas molecules is double of its speed at 27 degree C,…

A: The expression for the rms value of the velocity is

Q: The temperature of a gas consisting a rigid diatomic molecules is T K. Calculate the angular root…

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Q: A gas contains 5 molecules with an instantaneous velocity of 2 m/s, 10 molecules with an…

A: The average velocity is given by vavg = ∑nivi∑ni The RMS or root mean squared velocity is given by…

Q: (II) At about what pressure would the mean free path of air molecules be (a) 1.0 m and (b) equal to…

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Q: The lowest possible temperature in outer space is 2.7 K. What is the rms speed of hydrogen molecules…

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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: What is the average energy per molecule of a gas at 592 K? K = unit J Assuming the gas is 02, has a…

A: 1)Temperature of a gas = 592 K To find : Average energy per molecule of the gas at 592 K

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 gas is at 20oC. To what temperature must it be raised to triple the rms speed of its molecules?

A: The expression for rms speed of the molecules.From the above equation root mean square speed of the…

Q: What will be the ratio of kinetic energies and rms speeds of a nitrogen molecule and a helium atom…

A: Formula of kinetics energy of molecules: K.E=12kBT The ratio of the kinetics energy:…

Q: The escape speed from the Moon is much smaller than from Earth, around 2.38 km/s. a) At what…

A: The given values are,

Q: Write the Ideal gas law in terms of molecules?

A: To determine: The ideal gas law in terms of molecules

Q: Define the term RMS Speed of a Molecule?

A: RMS Speed can be defined as predicting how fast the molecules are moving at a given temperature. If…

Q: The diameter of a gas molecule is 2-4 x 10-10 m. Calculate the mean free path at NTP. Given…

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Q: uppose that the rms speed of carbon dioxide molecules, with molar mass of 44.0 g/mol, in a flame is…

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Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.