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Q: = T (), - p # 0 for a real gas Show that the = T -p = RT a obeying van der Walls equation of state,…

A: Given  Prove  (dU/dV)T ≠ 0  Where  (dU/dV)T = T(dS/dV)T -p = T(dp/dT)V -p  And real gas which…

Q: What is the root mean square velocity, vrms, for Helium atom (He) at 22oC? Hint: How many amu…

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Q: What is the volume of a lead ball at 30.00C if the ball’s volume at 60.00C is 50.00 cm3?

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Q: 10000 1000- co, solid 100 co, liqud Sublim aton point -785°C at 1 atm 10- 0.1- 001- co, gas 0001…

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Q: PCMRG 273 cm³ of an ideal gas has an initial temperature of 0°C. The gas is heated at a constant…

A: Hi. as you have posted multiple questions and have not specified which question needs to be solved,…

Q: ), =r),-p=T(O,-p = 0 for a real gas Show that the RT obeying van der Walls equation of state, p =…

A: From the question, it is given that- ∂U∂VT=T∂S∂VT-p=T∂P∂TV -p            ----(1),p = RTV-b-aV2…

Q: An ideal gas, at pressure 4.5 atmospheres, in a volume 1.7 m3 and at a temperature of 324 K, is…

A: Given data: Initial pressure (P1) = 4.5 atm, initial volume (V1) = 1.7m3 Initial temperature (T1) =…

Q: Y The mean square Density of the speed of gas particles | particles B C D

A: To solve this question, we must use the kinetic theory of gases. A few of the key assumptions for…

Q: The following results show the variation of the second-order rate ce pressure “P" at 25 °C ressure…

A: The variation of the second-order rate constant "k" with the hydrostatic pressure "P" at 25 0C is…

Q: A gas made up of atoms escapes through a pinhole 0.690 times as fast as Ar gas. Write the chemical…

A: let  diffusion rate of unknown gas = r1 diffusion rate of known gas(Ar) = r2 molar mass of Ar gas…

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

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Q: Some N2 gas is placed in an ultrahigh vacuum chamber at 18.9°C. If N2 has a collision diameter of…

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Q: What is the estimated VOLUME expansion coefficient, B f.

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Q: What is the root mean square velocity, vrms, for Helium atom (He) at 66oC? Hint: How many amu does…

A: Write the given values with the suitable variables. T=66 °C=339 Kk=1.38×10-23 J/K Here, T is the…

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: Some N2 gas is placed in an ultrahigh vacuum chamber at 18.9°C. If N2 has a collision diameter of…

A: GivenP = 471 x 10-9torr = 6.27 x 10-5 Pa         (itorr = 133.32 Pa)T = 18.9°c = 291.9kd = 395 pm =…

Q: What is the average kinetic energy of a gas molecule at 100°C?

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Q: The temperature of 4 mole of an ideal gas is increased from 114 K to 524 K, and its given that C,=R.…

A: Given data: Number of moles, n=4.0 moles Initial temperature, T1=114 K Final temperature, T2=524 K

Q: Would you expect γ to be larger for a gas or a solid? Explain how?

A: The gases can be heated or cooled in the presence of constant pressure. This means that the volume…

Q: T = 311 e -150 t %3D Time (t) [min] (a) Is this relationship a linear, power law, or exponential…

A: 1. From given equation of curve it is clear that,  Temperature is directly proportional to e- 150 t…

Q: Find the ratio f(vp)/f(vrms) for hydrogen gas (M = 2.02 g/mol) at a temperature of 77.0 K?

A: The Maxwell-Boltzmann distribution (f (v)) of the gas molecule-speeds (v) of molecular mass (m) at…

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

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Q: Show that the second virial coefficient for a van der Waals gas is given by 1 B(T) az a = b- RT RT V…

A: The virial equation of state is Z=PVRT=1+BV+CV2+............         ⇒P=RTV(1+BV+CV2+..........)…

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 raot-mean- Square Speed in mis of gas Molecules with Molar molecular welght 33 gmỗl at a…

A: The answer is below

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

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Q: Boyle's Law states that pressure exerted by a gas is inversely proportional to its volume at…

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Q: A mole of gas has isobaric expansion coefficient dV/dT = R/p and isochoric pressure-temperature…

A: The expression of gas for the isobaric expansion coefficient is given as,

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

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Q: If the ideal gas law (PV = kT) is used to find P when T and V are given, but there is an error of…

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Q: Obtain the dimensional formula for R used in the Ideal gas equation, PV = RT. %3D

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Q: 2. The value of a y for an ideal gas is 1.4. The gas is

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Q: Find the velocitres after impact. VA = 20msl Va = 5 mol JA 60 !! MA 307 mB = 100 kg e = 0,6 1/2

A: In all type of collision linear momentum remains conserved.  The equation of coefficient of…

Q: An ideal gas, at pressure 4.9 atmospheres, in a volume 1.1 m3 and at a temperature of 308 K, is…

A: Given data: Initial pressure (P1) = 4.9 atm Initial volume (V1 ) = 1.1 m3 Initial temperature (T1) =…

Q: If there are 10800000000 collisions per second in a gas of molecular diameter 3.91E-10 m and…

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Q: The root mean square velocity (Hm) for chlorine rms gas (CI, Jat 300 °C is m/s.

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Q: 1.8 A gas under a pressure of 1 MPa absolute has a specific weight of 99 N/m³. What is the value of…

A: For question 1.8, We need to know the Molecular mass of the gas to find the R value. As the value is…

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: If gas pressure (absolute value) for an ideal gas is held constant, the relationship between gas…

A: Given: If gas pressure (absolute value) for an ideal gas is held constant, the relationship between…

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

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

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.