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: (a) How many molecules are present in a sample of an ideal gas that occupies a volume of 2.70 cm³,…

A: Volume, V=2.7cm3=2.7×10-6m3 Temperature, T=20oC=(20+273)K=293K

Q: (b) What is the average kinetic energy of the helium atoms? J (c) What is the rms speed of the…

A:

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

A: Given : mass m= 2.23×10-26 kgvrms=1050 m/s Formula used to calculate  vrms=3kTmAlso T=mV2rms3khere,…

Q: The mean free path for a certain gas is 2.03×10−7 m. and the radius of an atom of said gas is…

A:

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 29.8 cm at 23.0°C and 1.00…

A:

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

A: mass( m) = 2×10-26 kg  Vrms = 1100 m/s Formula used to calculate  vrms=3kTmAlso T=mV2rms3khere, k=…

Q: A particular sample of gas has an RMS velocity of 4.4 x 10 m/s. Determine the temperature of this…

A: Given data : RMS velocity(V)=4.4×10^4 m/s Mass(m)=3.346×10^-27kg To calculate:  Temperature of the…

Q: What would the pressure ? of an ideal gas be if the mean free path was 1.30×102 cm? Assume that the…

A: The expression for the mean free path is written as, Here, λ, R, T, d, NA and P represent the mean…

Q: a) How many atoms of helium gas fill a balloon of diameter 30.0cm at 20.0oC and 1.00atm? b) What…

A:

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: (a) How many atoms of helium gas fill a spherical balloon of diameter 30.0 cm at 20.0°C and 1.00…

A:

Q: A 6.55-L vessel contains 4.20 moles of gas at a pressure of 1.60 x 10° Pa. (a) Find the temperature…

A: Given Data: The volume of the vessel is V = 6.55 L The number of moles of gas is n = 4.20 moles. The…

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

A:

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 30.2 cm at 19.0°C and 1.00…

A: Given that,  Diameter of Spherical balloon, D = 30.2 cm => D = 0.302 m Radius of Spherical…

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: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: (a) An ideal gas occupies a volume of 2.4 cm3 at 20°C and atmospheric pressure. Determine the number…

A: The ideal gas equation is given by: PV=nRT, where P is pressure, V is volume, Tis temperature, and n…

Q: 1. DETAILS PREVIOUS ANSWERS SERPSE9 21.P.001.MI.FB. (a) How many atoms of helium gas fill a…

A: Explanation:  Equation of state of an ideal gas is PV = nRT      = nkBT where P is the pressure, V…

Q: An ideal gas has initial volume of 0.550 m3 and pressure of 9.65 x 104 Pa. (a) If the initial…

A: Volume, V = 0.550 m³ Pressure, P1 = 9.65×10⁴ Pa Initial temperature, T1 = 281 K Final temperature,…

Q: How many atoms of helium gas fill a spherical balloon of diameter 29.2 cm at 16.0°C and 1.00 atm…

A:

Q: An ideal gas occupies a volume of 1.0cm3 at 20C and atomaspheric pressure. (a) Determine the number…

A:

Q: Three moles of an argon gas are at a temperature of 305 K. Calculate the average kinetic energy per…

A: (a) Calculate the average kinetic energy per atom. KE=32kT    =38.313052    = 3801.83 J Hence, the…

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 29.6 cm at 19.0°C and 1.00…

A:

Q: In the lungs the respiratory membrane separates tiny sacs of air (pressure 1.00*10^5 Pa) from the…

A: To solve this question we will consider that the alveoli is spherical in shape. According to ideal…

Q: Modern vacuum pumps make it easy to attain pressures of the order of 10-13 atm in the laboratory.…

A: We have to determine the number of molecules in a certain pressure of gas. We are aware that the gas…

Q: A sealed cubical container 30.0 cm on a side contains a gas with three times Avogadro's number of…

A:

Q: Oxygen (O2) has a molar mass of 32.0 g/mol . a) What is the root-mean-square speed of an oxygen…

A:

Q: A container having a volume of 2.3 m3 holds 9 moles of helium gas at 192°C. If the helium behaves…

A: The average kinetic energy (KE) per particle in an ideal monoatomic gas at temperature T (in Kelvin)…

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 29.6 cm at 16.0°C and 1.00…

A: Diameter of spherical balloon, d= 29.6 cmTemperature,T= 16০ cPressure,P= 1 atm(a)Volume of the…

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 30.6 cm at 23.0°C and 1.00…

A: The volume of the spherical balloon is

Q: A container contains a certain amount of oxygen gas at a temperature of 300 K. The average speed of…

A:

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: How many atoms of helium gas fill a spherical balloon of diameter 31.0 cm at 19.0°C and 1.00 atm?…

A: (a) Volume of the spherical balloon is V=43πr3=43πd23=16πd3=16π31.0×10-2 m3=0.0155985 m3 The number…

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

A:

Q: The most probable speed for molecules of a gas at 296 K is 263 m/s. What is the molar mass of the…

A:

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

A: The average kinetic energy per atom is given by  KE=32kT where k is the boltzmann's constant. From…

Q: (a) How many molecules are present in a sample of an ideal gas that occupies a volume of 3.00 cm3,…

A: Given, Volume of the gas molecules, V = 3.00 cm3 Temperature of the gas,  at atmospheric pressure, P…

Q: A spherical weather balloon is designed to inflate to a maximum diameter of 17.0 m at its working…

A:

Q: Three moles of an ideal gas are in a rigid cubical box with sides of length 0.300 m. (a) What is the…

A: We are aware of the side's 0.30 m length, its six sides, its 20oC temperature, and its three moles…

Q: A student calculates the temperature associated with a molecule of a gas given its mass and rms…

A: The RMS velocity of the molecules has been changed by a factor of 0.713.Evaluate the factor by which…

Q: Nitrogen gas is at 300° C temperature. The temperature (in K) at which the rms speed of a H2…

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.