Assuming that molecules are randomly distributed in a volume V at pressure P and temperature T with a density n, what is the probability that the nearest molecules is at a distance r from another molecules

Q: Derive linear density expressions for BCC [110] and [111] directions in terms of the atomic radius R

A: In case of BCC type crystal structure, the atoms are arranged at the corners of the cube such that…

Q: The maximum in the Maxwell–Boltzmann distribution occurs when df(v)/dv = 0. Find, by…

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Q: Enrico Fermi (1901-1954) was a famous physicist who liked to pose what are now known as Fermi…

A: *** 1 ***volume of a sphere = 4/3 x pi x r³ and we want volume of sphere with diameter 6450km -…

Q: What is the temperature of a two-level system of energy separation equivalent to 300 cm−1 when the…

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Q: Using the Debye-Huckle relation logY ± 10 show how one obtains the 1+B/H equation log,c, A/u 0. 5pK…

A: log10γ+/-=-Aμ1+Bμ               (1)

Q: Calculate the molar mass of a particle with a root mean square velocity of 191.5 m/s at 373 K.

A: The root mean square velocity of gas is given by  vrms = (3RT/M)1/2  where vrms = root mean square…

Q: Consider the following: SiF4, CF4, CF3H, and Ne. (a) Which one will diffuse the fastest? (b) What…

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Q: Consider a gas of N fermions. (i) At T = 0, what does the Fermi momentum represent? (ii) Consider…

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Q: The four lowest electronic levels of a Ti atom are 3F2, 3F3, 3F4, and 5F1, at 0, 170, 387, and 6557…

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Q: The best laboratory vacuum pump can generate a vacuum of about 1 nTorr. At 25 °C and assuming that…

A: Boltzmann constant k = 1.381 ×10-23 J K-1 R = 8.3145 J mol-1 K-1 d = 395 pm or 395 * 10-12 m T = 298…

Q: A scientist proposed the following equation of state: RT p = C + V2 B Vm V3 m Show that the equation…

A: Solution -

Q: Under what conditions will the quantities q and w be negative numbers?

A: First law of thermodynamics is stated as follows,

Q: 5) Starting from the expression G, – Cy = T (O"/aT), (®V/at), ' use the appropriate relations…

A: The given expression is the thermodynamic relation between specific heat capacity at constant…

Q: 3) Derive the Joule -Tuomson coefficiant for Virial eguation of state in terms of volume expausion.

A: Answer is explained below.

Q: where m stands for the mass of the particle, v stands for the particle speed, T stands for the…

A: Hii there, As there are multiple question posted. we are answering first question. If you need…

Q: Use the virial equation of state to calculate the pressure exerted by 1.00 mol CH4, at 273 K…

A: GIVEN: Vm=1.00 cm3 =0.001 Litre R=0.082057 L atm K-1mol-1 T=273K n=1 mol CH4  B2(T)=-53.6 cm3…

Q: A certain molecule has a non-degenerate excited state lying at 540 cm−1 above the non-degenerate…

A: GIVEN: Molecule has a non-degenerate excited state lying at 540 cm−1 To Solve: Temperature at which…

Q: What are the salient features of Aufbau principle?

A: The principal states that electrons are filled in the orbitals in increasing order of their energy.…

Q: Derive the expression for the most probable speed from the maxwell- boltzman distribution. show it…

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Q: 19.7 cm3 of a pure vapour, at 1.092 atm, and 99.0 °C has a mass of 0.0466g. Calculate the molar mass…

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Q: Derive an expression for ⟨vn⟩1/n from the Maxwell–Boltzmann distribution of speeds.

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Q: Consider an ideal diatomic gas in a piston, at T = 22.7°C and atmospheric pressure (1.01 x 105 Pa)…

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Q: 5.6 Two of the four Maxwell. relations were derived in the text, but two were not. Complete their…

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Q: At temperature T, the internal energy of 1mol rigid diatomic molecules is =......

A: Internal energy can be calculated on the basis of degree of freedom.

Q: If n = 5, what is the maximum allowed value for {?

A: Relation between l and n Number of l for n = 0, 1, 2,......(n-1)

Q: What molar constant-volume heat capacities would you expect under classical conditions for the…

A: According to equipartition theorem, the contribution of degree of freedom to the heat capacity is ½…

Q: Outline the principles behind the derivation of the Boltzmann distribution.

A: To find: The principle behind the derivation of the Boltzmann distribution

Q: The internal energy of a system A None of these B is the sum of the rotational, vibrational, and…

A: Internal energy of system is denoted by U.

Q: Briefly describe the contributions of Walter Nernst, T. W. Richard's, Max Planck and G. N. Lewis in…

A: The third law was given by Walter Nernst. It states that the entropy of a system at absolute zero is…

Q: 1.15 A cylinder is separated into two compartments by a free sliding piston. Two ideal Fermi gases…

A: There are two compartments in a cylinder. These compartments are separated by using a free sliding…

Q: If Z = 1.00054 at 0 °C and 1 atm and the Boyle temperature of the gas is 107 K, estimate the values…

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Q: For two nondegenerate energy levels separated by an amount of energy ε/k=500.K, at what temperature…

A: Given: Energy level separation ,=e/k = 500K  Boltzmann distribution, N2/N1 = 1/2

Q: ƏT dp as

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Q: 11. In the early study of air composition, Ramsey in 1894 separated water vapor, nitrogen, oxygen…

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Q: For O2 at 25 °C, CONSTRUCT a plot of the probability density of molecular speeds VS speed.

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Q: The molar specific heat of a diatomic gas is measured at constant volume and found to be 29.1 J/mol.…

A: The molar specific heat of a diatomic gas is measured at constant volume and found to be 29.1 J/mol.…

Q: State an explanation for the reasons that dimensional quantities (i.e. Planck's constant) are not…

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Q: P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use the appropriate relations…

A: cyclic rule which a rule relate the partial derivate of 3 independent variable (x,y,z) taken in…

Q: The heat capacity ratio of a gas determines the speed of sound in it through the formula cs =…

A: To find the speed of the sound   Cs = (γRT/M)1/2 to find γ   γ = Cp,m/Cv,m At given temperature, T=…

Q: P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use the appropriate relations…

A: Given Cp − CV = T(∂p/∂T)v(∂V/∂T)p

Q: 5. What types of states/energy differences have thermal populations of the first excited state (P₁)…

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Q: Calculate the value of CP at 298 K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the…

A: Equipartition theorem It states that for a system obeying classical statistical mechanics, which is…

Q: If n = 4, what is the maximum allowed value for {?

A: The Principal quantum number is shown by n. The Azimuthal quantum number is shown by l.

Q: Given the following probability distribution for a discrete random variable X; X = x 1 2 3 4 P(X =…

A: A)It is known that the sum of probabilities of a probability distribution of random variables is…

Q: Based on the Maxwel Boltzman Distribution Function, find the mean of the following quantities : a)…

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