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

Q: A (1.0x10^1) liter bottle is filled with nitrogen (N2) at STP (Standard Temperature and Pressure is…

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

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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: Oxygen at pressures that are not too high obeys the equation p(Vm-b) =RT where b = 0.0211 dm³ mol.…

A: it is question to find fugacity with given value in question.

Q: 3.66. Show that the density-series second virial coefficients can be derived from isothermal…

A: in this question we derived the equation from isothermal volumetric data.

Q: Derive an explicit equation for the change in internal energy of a van del Waals gas with the…

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Q: A container of nitrogen is at 2.00atm of pressure and a temperature of 400K. If we -10 treat the…

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Q: How can we estimate the molar heat capacity of solid elements at ordinary temperatures?

A: The atoms of a solid can be modelled as attached to neighbouring atoms by the means of a spring.

Q: Dr. Chini's research group recently made an interesting discovery, while studying laser interactions…

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Q: A star of radius tempera ture af 10,000 K. Assuming its perfect radietor, a) Calculete the 6.95 x…

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Q: Given that the internal energy U of blackbody radiation in a cavity of volume V at temperature T is…

A: Radiation pressure is defined as one third of the energy density per unit volume. Radiation pressure…

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: Consider a star that is a sphere with a radius of 6.38  108 m and an average surface temperature of…

A: Given data: Radius R =6.38×108 m Star's temperature T= 5200 K Universe's temperature T'= 2.73 K

Q: P2D.8 Use the fact that (∂U/∂V)T = a/Vm 2 for a van der Waals gas (Topic 1C) to show that μCp,m ≈…

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Q: Calculate the temperature at which the average K.E. of a molecule of a gas will be the same as that…

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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: A fermion gas assembly consists of three energy bands whose weights are 2, 3 and 4, respectively.…

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Q: The sum of the kinetic and potential energies of a system's atoms and molecules calculates the blank…

A: To identify : The sum of kinetic and potential energies of system's atoms and molecules

Q: Consider the semiclassical model of N particles with two energy levels (0 and e > 0). Suppose that…

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Q: To what temperature must a gas sample initially at 27°C be raised in order for the average energy of…

A: The initial absolute temperature of the gas is, T=27+273.15 K=300.15 K The average energy of a gas…

Q: Show that TV 32 Cp – Cy = %3D reduces to Cp-Cv = R for an ideal gas.

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Q: How much energy (in J) is required to evaporate 25% of 4g of water currently at 100 oC? The answer…

A: Solution: Given that m = 4 g evoperation temperature =100 oC

Q: calculate the change in molar Gibbs energy, dG, when the pressure is increased by 0.1 bar.

A: Molar Gibbs energy ∆G=RTlnp2p1 where p2=final pressure p1=initial pressure Ideal gas law states that…

Q: Oxygen at pressures that are not too high obeys the equation p(Vm-b) = RT where b = 0.0211 dm³…

A: Given, Equation: pVm-b=RTb=0.0211 dm3 mol-1 Temperature and pressure: T=25°CP=1 bar=0.9869 atm

Q: The atoms in a solid possess a certain minimum zero-point energy even at 0 K, while no such…

A: According to the uncertainty principle, it is impossible to measure simultaneously both the position…

Q: Why do real gases deviate from Boyle's law?

A: According to the ideal behaviour of gases, they do not have any force of attraction between the…

Q: What is the probability that an O2 molecule in a sampleof oxygen at 300 K has a speed between 5.00 ×…

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Q: Rather than insisting that all the molecules be in the left half of a container, suppose we only…

A: Introduction: Multiplicity of a mono atomic ideal gas is given by Ω(U,V,N)=f(N)VNU3N2 f(N)is a…

Q: What is the probability that a number n, 1 ≤ n ≤ 99, is divisible by both 6 and 10? By either 6 or…

A: The number between 1 to 99 that is divisible by both 6 and 9 is,  30,60,90 Probability is ratio of…

Q: A van der Waals dispersion force between helium atoms produces a very shallow potential well, with a…

A: The depth of potential is given as 1 meV. The energy needed to condense Helium be defined as,…

Q: For an ideal gas O2 at T = 293 K fi nd the two speeds v that satisfy the equation 2F(v) = F(v*).…

A: Given: An ideal gas of oxygen O2 Temperature: 293 [K] Maxwell`s distribution function: F(v) Mass of…

Q: Assume you are using the attached pressure gauge and a thermocouple with a temperature uncertainty…

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Q: Imagine a photon gas at an initial temperature of T = 1.4 K. What is the temperature of the photon…

A: The relationship between temperature (T) and volume (V) of a gas undergoing adiabatic process is…

Q: A research group recently made an interesting discovery, while studying laser interactions with…

A: The expression for the rms speed of a nitrous oxide molecule is written as, Here, R, T and M…

Q: In a certain particle accelerator, protons travel around a circular path of diameter 23.0 m in an…

A: The temperature,

Q: Calculate the ratio of the number of vacancies in equilibrium at 27 C in aluminum to that produced…

A: No crystal is fully occupied by the atoms present in the lattice. There are always some vacancies…

Q: Show that the RMS velocity of gas molecule is directly proportional to square root of its absolute…

A: In the given question , We have to shown that RMS velocity of gas molecule is directly proportional…

Q: For a system of particles at room temperature, how large must € - μ be before the Fermi-Dirac,…

A: We know that Boltzmann distribution lies between Bose-Einstein and the Fermi-Dirac distributions. It…

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: In Maxwell-Boltzmann statistics the particles of an assembly are considered distinguishable, and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If levels 1 and 2 are separated by an energy E2 – E1 such that the corresponding transition…

A: The middle of the visible range,

Q: Dr. Chini's research group recently made an interesting discovery, while studying laser interactions…

A:

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.