(a) An ideal gas occupies a volume of 1.0 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 × 10–11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

Q: Two moles of an ideal gas are placed in a container whose volume is 3.1 x 10-3 m3. The absolute…

A: number of moles, n = 2  Volume, V = 3.1 x 10-3 m3  Pressure, P = 5.5 x 105 Pa

Q: A sealed cubical container 14.0 cm on a side contains a gas with five times Avogadro's number of…

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Q: A cylinder containing ideal gas is sealed by a piston that is above the gas. The piston is a…

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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: An ideal gas with an initial pressure of 1.5 ×10° Pa and an initial volume of 8 m³ expands…

A: Initial pressure Pi= 1.5×10^5 Initial volume Vi= 8 meter cube Final volume Vf= 7.5 meter cube

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: A container with an initial volume of 0.0607 m3 holds 2.45 moles of a monatomic ideal gas at a…

A: The initial volume of a monatomic gas, Vi=0.0607 m3   The number of moles of a monatomic ideal gas,…

Q: Calculate the work done by the gas.  If the internal energy of the gas decreases by 8.00 J, find the…

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Q: A cylinder fitted with a piston which can move without friction contains 0.05 moles of a monatomic…

A: i) 31.125 J ii) 20.75 J iii) 51.875 J

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

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Q: Find the number of moles of a certain ideal gas whose volume temperature and pressure are 3.00L,…

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Q: Under constant pressure, the temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K.…

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Q: Starting from the universal gas constant (R = 8.314 Pa*m3), determine the volume (in m3) occupied by…

A: Given:         Universal gas constant R = 8.314 Pa*m3          number of moles     n = 1.62 moles…

Q: How many moles of air are in a regular 1.0-L water bottle when you finish drinking the water? Assume…

A: Given data The volume of the water bottle is given as V = 1 L. The temperature of the air is given…

Q: A sealed cubical container 14.0 cm on a side contains a gas with five times Avogadro's number of…

A: RMS speed: The root- mean square speed is the measure of the speed of particles in a gas, defined as…

Q: 2. (13.24) In an internal combustion engine, air at atmospheric pressure and a temperature of about…

A: #2 Given data: The initial pressure is P1=1 atm. The initial temperature is T1=20oC. The…

Q: when the translational speed of molecules in an ideal gas triples, by what factor has ist absolute…

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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: The temperature of an ideal gas increases. Which of thefollowing is true?(a) The pressure must…

A: According to the ideal gas law, when the temperature of the gas increases then the kinetic energy of…

Q: Suppose that a gas obeys at low pressures the equation PVm = RT + (A+ B/T2)P where A and B are…

A: Given PVm = RT + (A+ B/T2)P  where A and B are constants independent of pressure We have to Derive…

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: The law of a confined ideal gas is P V = k T, where P is pressure, V is the volume, T (in Celsius)…

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Q: Show that the volume expansion coefficient of an ideal gas is b = 1/T, where T is the absolute…

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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: The only form of energy possessed by molecules of a monatomic ideal gas is translational kinetic…

A: The average kinetic energy per molecule is

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

A:

Q: Under what circumstances would you expect a gas to behave significantly differently than predicted…

A: Ideal gas law is based on the hypothetical concept that describes the behaviour of gases under…

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: Consider one mole of a simple ideal gas enclosed in a cylindrical piston with rigid impermeable…

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Q: A mole of a monatomic ideal gas is heated until it reaches a temperature of 216 °C . If the change…

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Q: the air inside contains 14% oxygen, which is somewhat smaller amount than in fresh air. Assuming…

A: Given, Pressure P = 1.00 ×105 Pa radius of alveoli R = 0.125 mm Temperature T = 310 K percentage of…

Q: A fixed mass of ideal monatomic gas is contained in a cylinder. The cylinder volume can be varied by…

A: i) Using ideal gas law, the expression for find final temperature of gas is P1V1T1=P2V2T2V1T1=V2T2…

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: A gas is at 27 degrees celsius. To what temperature must it be raised to triple the rms speed of its…

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Q: When the temperature of an idel gas is quadrupled, while the absolute pressure is quartered. The…

A: According to the ideal gas equation P v = n R T  where, P is the pressure, V is the volume, T is the…

Q: What microscopic property of an ideal gas doubles when the absolute temperature is doubled?

A: Step 1From the kinetic theory of gases, the average kinetic energy of an ideal gas iswhere k is the…

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

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Q: The mean free path of molecules of a gas, (radius 'r ') is inversely proportional to :

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Q: A cylinder of cross-sectional area of 0.004m² contains 0.1 moles of monoatomic ideal gas. The…

A: Given: The mass of the piston is 10.0 kg. The temperature of the gas is 123°C. The area of the…

Q: Suppose an ideal diatomic gas expands adiabatically from an initial volume of 0.500 m3 to a final…

A: is a process in which heat and mass aren't exchange with the surrounding.

Q: Find the molar mass and the number of degrees of freedom of molecules in a gas if cV=0.65J/gK and…

A: Step 1It is given that

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.