The dimensions of a classroom are 4.20 m × 3.00 m × 2.50 m. (a) Find the number of molecules of air in the classroom at atmospheric pressure and 20.0°C. (b) Find the mass of this air, assuming the air consists of diatomic molecules with molar mass 28.9 g/mol. (c) Find the average kinetic energy of the molecules. (d) Find the rms molecular speed. (e) What If? Assume the molar specific heat of the air is independent of temperature. Find the change in internal energy of the air in the room as the temperature is raised to 25.0°C. (f) Explain how you could convince a fellow student that your answer to part (e) is correct, even though it sounds surprising.

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

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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…

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Q: What is the RMS speed (in m/s) of a gas molecule, with mass 3.26x10-26 kg at a temperature of 97…

A: Given thatmolecular mass=3.26×10-26 kg1 mole=6.022 × 1023 molecular entitiesmolar mass…

Q: QIC SA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless…

A: Part (a):Given,

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

A: Given:Volume, V = 13 m3Pressure, P = 4.2 atm = 425565 PaMoles, n = 1700 molMolar mass of nitrigen, M…

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

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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: If the rms speed of oxygen molecules inside a refrigerator of volume 22.0 ft.3 is 465 m/s, what is…

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Q: For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure…

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

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Q: The mean free path of an oxygen gas molecule under a pressure of 1 atmosphere at 0° C is about 6 ×…

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

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Q: 2. A balloon of diameter 20.0 cm is filled with helium gas at 30°C at 1.00 atm. a) How many atoms of…

A: Given values: Universal gas constant, R=8.314 J/mol K Boltzmann constant, k=1.38×10-23 J/K Avagadro…

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

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Q: 18. A (nearly) ideal gas has molar mass M = 0.044 kg/mol. If the temperature of the gas is T=…

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Q: An ideal gas of 2.0x1021 molecules is placed in a container that has a volume of 10.5 x 103 m³ and…

A: Given value--- N = 2 × 1021 molecules.  Volume = 10.5 × 10-3 m3 . pressure = 500 KPa . We have to…

Q: Let n be the number of moles, R be the ideal gas constant, T be the absolute temperature, P be the…

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Q: t what temperature do atoms of helium gas have the same rms speed as molecules of hydrogen at…

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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: The pressure of sulfur dioxide (SO2) is 2.44 x 104 Pa. There are 433 moles of this gas in a volume…

A: Given: The pressure of the gas is 2.44x104 Pa. The volume of the gas is 58.5 m3. The number of the…

Q: (II) Show that the rms speed of molecules in a gas is given by vrms = V3P/p, where P is the pressure…

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Q: Nitrogen (N2) gas, the most predominant gas molecule in the Earth's Atmosphere, have atomic masses…

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

A: The given values are,

Q: What is the RMS speed (in m/s) of a gas molecule, with mass 4.3x10-26 kg at a temperature of 98…

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Q: Three moles of helium gas (molar mass M = 4.00 g/mol) are in a rigid container that keeps the volume…

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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: A spherical balloon of volume 4000 cmº contains helium at an (inside) pressure of 1.20 x 10° Pa. How…

A: Given,Volume of the spherical balloon, V == 4000 cm3pressure, P = 1.20×105 Paaverage kinetic energy…

Q: At what temperature would the root mean square speed of oxygen molecules be 13.0 m/s? Oxygen is…

A: Given:- The root mean square speed of oxygen molecules be vrms=13 m/s Oxygen is assumed to…

Q: What is the rms speed of nitrogen molecules contained in a 13 m³ volume at 4.2 atm if the total…

A:

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

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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: Mars has an atmosphere composed almost entirely of carbon dioxide, with an average temperature of…

A: Given  The temperature of the carbon dioxide is T = –63°C = –63 + 273 K = 210 K. The molecular mass…

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

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Q: If 2.00 mol of nitrogen gas (N2) are placed in a cubic box, 34.0 cm on each side, at 2.50 atm of…

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Q: A cubic box of volume 5.1x 10 m is filled with nitrogen gas (N,) at atmospheric pressure (1.013x 10°…

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Q: Consider nitrogen gas in a container at temperature T= 225 K. A molecule's average kinetic energy is…

A: For the given problem the kinetic energy is given by as the relation KE = 32kbTwhere, kb =…

Q: What is the rms speed of nitrogen molecules contained in an 8.5m3 volume at 2.9 atm if the total…

A: Using the ideal gas equation, we find the temperature of gas as shown below.T=PVnR,  P=2.9…

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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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.