An ideal gas is contained in a vessel at 500 K. The temperature of the gas is then increased to 1500 K. (i) By what factor does the average kinetic energy of the molecules change? (ii) By what factor does the rms molecular speed of the molecules change? (iii) By what factor does the average momentum change that one molecule undergoes in a collision with one particular wall? (iv) By what factor does the rate of collisions of molecules with walls change? (v) By what factor does the pressure of the gas change?

Q: The rms velocity of molecules of a gas at - 73°C and 1 atmospheric pressure is 100 m/s. The temp. of…

A:

Q: The molecular weight of nitrogen, N2, is 28 g/mol. What is the rms speed of nitrogen molecules in a…

A: molecular weight of N2 is, M=28 gmol=2810-3 kgmol=28×10-3 kgmol  (we used 1 gram = 10-3 kg)…

Q: What is the rms speed of nitrogen molecules contained in a 13 m 3 volume at 4.2 atm if the total…

A:

Q: In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at 35 °C temperature. Calculate for…

A: Given: No. of moles of methane gas=5 Molar mass of methane M=16.04×10-3kg/mole Temperature, T=35°C…

Q: Two moles of an argon gas are at a temperature of 350 K. Calculate the average kinetic energy per…

A: number of moles (n) = 2 Temperature (T) = 350 kelvin

Q: Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all…

A:

Q: If a molecule travels with a speed v m/s along the horizontal axis of a cubic vessel whose side has…

A: Given in question: Speed of molecule = v m/s                                 Length of cubic side =…

Q: What is the RMS speed (in m/s) of a gas molecule, with mass 3.40x10-26 kg at a temperature of 70…

A: Given data The mass of the gas molecule is M = 3.40 x 10-26 kg. The temperature of the gas molecule…

Q: Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as…

A: The expression for the ideal gas,

Q: Eight molecules have speeds of 3.00 km/s, 4.00 km/s, 5.80 km/s, 2.50 km/s, 3.60 km/s, 1.90 km/s,…

A: Speeds of the eight molecules are

Q: Two containers of equal volume each hold samples of the same ideal gas. Container A has 3 times as…

A:

Q: Find the RMS (root-mean-square) speed of Oxygen gas molecules with 32 atomic mass units per molecule…

A:

Q: Two moles of a krypton gas are at a temperature of 420 K. Calculate the average kinetic energy per…

A:

Q: Determine the following speeds (in m/s) for molecules of the diatomic gas bromine at a temperature…

A:

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: Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all…

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: Three moles of an argon gas are at a temperature of 275 K. Calculate (a) the kinetic energy per…

A: Part A:

Q: At what temperature would the rms speed of helium atoms equal (a) the escape speed from Earth, 1.12…

A: Formula to calculate the temperature at which rms speed is equal to the escape velocity is,

Q: A spherical balloon of volume 3.95 x 103 cm3 contains helium at a pressure of 1.15 x 105 Pa. How…

A:

Q: The pressure exerted by a molecular hydrogen gas at a temperature of 7 °C is 1.01x105 N/m2. Assuming…

A:

Q: The dimensions of a classroom are 4.20 m × 3.00 m × 2.50 m. (a) Find the number of molecules of air…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: gas is at 24 ∘C. To what temperature must it be raised to triple

A:

Q: 2.97 moles of an ideal gas are placed in a container whose volume is 8.35 x10−3 m3. The absolute…

A: Given : n = 2.97 moles V = 8.35 x 10-3 m3 P = 7.2 x105 Pa

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: A 5x10-3 m3 tank contains nitrogen at temperature 27 C and pressure 1.2 atm. The gas pressure…

A: Given : Temperature T = 27°C=27+273=300 K Volume V = 5×10-3 m3 Initial Pressure P = 1.2 atm Final…

Q: Helium atoms have a mass of 4u and oxygen molecules have a mass of 32u, where u is defined as an…

A: The translational kinetic energy of a gas is given by Hence, average translational kinetic energy…

Q: Two moles of a helium gas are at a temperature of 260 K. Calculate the average kinetic energy per…

A:

Q: Show that the rms speed of molecules in a gas is given by ЗР Vrms where P is the pressure in the…

A: to show; vrms=3Pρ here P : pressure and ρ: gas density

Q: 1.88 moles of an ideal gas are placed in a container whose volume is 4.88 x10−3 m3. The absolute…

A:

Q: At what temperature (in C) is the rms speed of helium atoms(molar mass 4.00 g/mol) the same as the…

A: Given : Molar mass  MHelium=4 g/mol=4×10-3 kg/mol Molar mass MNitrogen=28 g/mol=28×10-3 kg/mol…

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

A:

Q: Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as…

A:

Q: A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of…

A:

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: 34. Go Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of…

A: Given: The mass m is 3.32x10-26 kg. The rms speed is 1223 m/s.

Q: Evaluate rms speed, the average kinetic energy of a molecule and total random kinetic energy of all…

A: We need to calculate the rms speed, average energy of one molecule and total random kinetic energy…

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: When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature…

A:

Q: If the temperature T of an ideal gas doubles, by what factor does the average kinetic energy of the…

A: We know that the average kinetic energy is  K.Eavg=32NkbT

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

A:

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.