How Many Atoms Are You? Estimate the number of atoms in the body of a 50 kg physics student. Note that the human body is mostly water, which has molar mass 18.0 g/mol, and that each water molecule contains three atoms.

Q: QUESTION 5 0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 x 10-3 m³) container…

A: Dear student,  Since both questions are different as per guidelines we can author only first one…

Q: Find the root mean square speed of oxygen molecules in this room. (An oxygen molecule is diatomic.…

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Q: What is the average translational kinetic energy of an ideal gas at 868 K? (The value of Boltzmann's…

A: Given data The temperature of the gas is given as T = 868 K. The Boltzmann's constant is given as k…

Q: Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy…

A: The mass of a mole of nitrogen is, m=28×10-3 kg/mol6.023×1023 /mol=4.649×10-26 kg The average…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Adiabetic process does not exchange heat from system to surrounding or surrounding to system.

Q: The ratio PV/nT is the same for all gases in the limit of zero pressure. a) True b) False

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Q: Internal energy of an ideal gas depends on: i. the volume of the ideal gas ii. the pressure of the…

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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: In a gas that is a mixture of water (two H and one O) and carbon dioxide (one C and two O), if the…

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Q: Which of the following describes a real gas better? A) gas particles repel each other B) all…

A: Ques: Which of the following describes a real gas better? A) gas particles repel each other B) all…

Q: Suppose the temperature of 6L of ideal gas drops from 375 K to 175 K. If the volume remains constant…

A: Initial volume of ideal gas = 6 L Initial temperature = 375 k final temperature = 175 k Initial…

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

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Q: Two moles of an ideal gas are placed in a container whose volume is 8.2 x 103 m3. The absolute…

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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: Avagadro's number (6.023 × 1023) is a pure (unitless) number which serves as a good standard for…

A: Side of each sand grain cube, a = 1.3 mm = 1.3 × 10-6 km Avogadro’s number, NA = 6.023 × 1023 The…

Q: Consider nitrogen gas in a container at temperature T = 245 K. A molecule’s average kinetic energy…

A: Given: The temperature is T=245 K. The molecule’s average kinetic energy is Kavg=32kBT.   The…

Q: A spherical balloon of volume 4000 cm3 contains helium at an (inside) pressure of 1.20 x 105 Pa. How…

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Q: How many molecules are in a typical object, such as gas in a tire or water in a drink? We can use…

A: Ideal gas equation be defined as, Where, P be defined as pressure. V be defined as the volume. T be…

Q: The sum of the kinetic and potential energies of all the atoms and molecules in a substance is known…

A: In this problem, it is asking about the sum of kinetic energy and potential energy of all atoms and…

Q: What is the average kinetic energy of a molecule in a monoatomic gas if the Celsius temperature is…

A: Temperature of monatomic ideal gas is

Q: A solid copper has a density of 8.95 g/cm³ and a molar mass 63.5 g/mol. How many atoms are contained…

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Q: 2) In a thermonuclear device, the pressure of 0.050 liters of gas within the bomb casing reaches 4.0…

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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: If you double the typical speed of the molecules in a gas, by what factor does the pressure change?…

A: The expression for the average speed of a gas molecule,   From the above equation, the temperature…

Q: The rms speed of a certain sample of ammonia molecules, with a molecular weight of 17 g/mol, is 328…

A: The rms speed of gas molecules is 3RTM where R is the ideal gas constant, T is temperature, M is the…

Q: A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: Upon the…

A: Radius of the sphere r=15 cm so diameter d=2r=2*15=30 cm=0.3 m. Time taken by carbon dioxide…

Q: Suppose I tell you that hydrogen in a rigid container at room temperature has a volume of V = 0.40…

A: a) no of moles  = massmolecular mass=292=14.5 molone mole = 6.023 x 1023 moleculestotal no of…

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: The equation for calculating the work performed when a piston in a cylinder expands against a…

A: Given data:  Pressure (P) = 1.21 atm Change in volume (ΔV) = 2.56 mL 1 atm = 101325 Pa Required:…

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

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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: The volume of an ideal gas is held constant. Determine the ratio P2/P, of the final pressure to the…

A: (a) T1 = 39 K T2 = 78 K

Q: A quantity of gas has initial pressure and volume of 0.1MN/m2 and 0.1 m3 , respectively. It is…

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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: atmospheric pressure is 1.00 x 105 Pa, while the surface temperature can reach 320 K. These data…

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Q: Consider a pond with three types of fish. 1) N1= 100, M1-1 lb 2) N2=30, M2-3 Ib 3) N3-10, M3=7 lb…

A: MW is the weight averaged molecular weight. Mathematically, it is given by MW = ∑Ni Mi2∑Ni Mi We use…

Q: Two moles of an ideal gas are placed in a container whose volume is 8.6 x 103 m. The absolute…

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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: The rms speed of the molecules of a gas at 133°C is 195 m/s. Calculate the mass m of a single…

A: Write the expression for the rms velocity. Here, k represents the Boltzmann constant, T represents…

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.