Under what conditions is the ideal-gas assumption suitable for real gases?

Q: Why do the collisions between molecules do not appear in the derivation of the ideal gas law?

A: Introduction: Kinetic theory of gasses is the study and behavior of the gas molecules under the…

Q: Show that for an ideal gas _ c p = _ c v + Ru.

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Q: The atomic and molecular rms speeds of gases, vrms, are usually quite large, even at low…

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Q: What is the difference in molar Gibbs energy, due to pressure, when a system moves from the ocean…

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Q: Evaluate (dS/dn for a van der Waals gas. For an isothermal expansion, will AS be greater for an…

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Q: Out of following three gases which are satisfying Maxwell-Boltzmann distribution law? (a) Electron…

A: Maxwell Boltzmann Distribution law is applied an identical but distinguishable particles. Ideal…

Q: The molar heat capacity of an ideal gas at constant pressure is equal to its molar heat capacity at…

A: Ideal Gas constant.

Q: At atmospheric pressure and a temperature of 3.64 K helium can still exist in gas phase. Find the…

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Q: What are the conditions under which the real gases obey the ideal gas equation?

A: The real gases obey the ideal gas equation PV = RT at high temperature and low pressure. Real gases…

Q: The escape speed from the Earth is 1.12 x  104 m/s so thata gas molecule traveling away from Earth…

A: Given Data: The escape speed from the earth is, vescape=1.12 x 104 m/s   The expression for the…

Q: What is the value of y if it is diatomic gas?

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Q: Consider the cylinder on the right which is filled with an ideal gas. If the mass of the piston is…

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Q: Consider the cylinder on the right which is filled with an ideal gas. If T is doubled while letting…

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Q: In the application of the momentum equation, explain why we can usually disregard the atmospheric…

A: Newton's Second Law explained the concept of momentum equation that states that the rate of change…

Q: prove average total kinetic energy = 2kT for gas molecules crossing a spherical area, with the…

A: At normal temperature the molecules are randomly moving in an ideal gas. The velocities of the…

Q: What, according to the Maxwell–Boltzmann distribution, is the proportion of gas molecules having (i)…

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Q: The volume of a monatomic ideal gas triples in an isothermalexpansion. By what factor does its…

A: initial volume = V final volume =  3 V

Q: What is kinetic energy of gas molecule per degree freedom?

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

A: (a) Let Vi be the initial volume of the sphere. The final volume of the sphere is Vf=5Vi.

Q: Real gases For helium gas, the critical temperature is Tk=5.2K and the critical pressure is…

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Q: The kinetic energy of gas molecules is zero at _______?

A: According to question we need to find--- The kinetic energy of gas molecules is zero at _______?

Q: The equipartition theorem states that each term in the particle's energy depending on a squared…

A: Given: Relation between the kinetic energy and total mechanical energy is, 12mv2=12kT

Q: What is the temperature change if the system is a monatomic gas? Express vour ansvor with the…

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Q: How real gases different from ideal gases?

A: Following are the ways to differentiate real gases from ideal gases: i) Real gases have inelastic…

Q: What does it mean if the fugacity coefficient is greater than or less than 1? How do I measure the…

A: Fugacity is somewhat related to compressibility but not the same. The expression of Gibbs free…

Q: Value At what temperature does the rms speeed of oxygen gas equal 375 m/s?

A: Solution

Q: What is the mean translational kinetic energy of a perfect gas molecule at temperature T?

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Q: If the temperature of an ideal gas is held constant, the relationship between its pressure in…

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Q: ap. ap) ; =?,, =?, av =? ƏT

A: We need to calculate certain partial derivatives in the van der Waals equation.

Q: So each four dot shows four different states for an ideal gas. P is the pressure and the other one…

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Q: Consider the equinmolar samples of the same ideal gas at the same temperature, but different…

A: The pressure of gas A and gas B are equal. The rms speed of gas B is greater than the rms speed of…

Q: Express the ideal-gas equation: pV=nRT using derivatives.

A: Ideal Gas Equation The Ideal gas law is the equation of state of a hypothetical ideal gas. It is a…

Q: Obtain the most probable distribution of N molecules of an ideal gas contained in two equal and…

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Q: Write the Ideal gas law in terms of molecules?

A: To determine: The ideal gas law in terms of molecules

Q: In the ideal gas law, why is virtual temperature used instead of temperature?  Is virtual…

A: Virtual temperature is basically the temperature at which dry air (theoretically) would have the…

Q: A sample consists of an amount n in moles of a monatomic ideal gas. The gas expands adiabatically,…

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Q: Calculate the diffusion coefficients of 0.01 μm diameter aerosol particles at a temperature of 20 oC…

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Boltzmann statistics of Ideal gas

In statistical mechanics and thermodynamics, Maxwell - Boltzmann statistics explains the statistical distribution of the energies of the classic gas molecules over different states in thermal equilibrium. Maxwell Boltzmann statistics helps us to derive the Maxwell - Boltzmann distribution of ideal gas molecules, which is the result of the kinetic theory of gases.