P1B.1 A rotating slotted-disc apparatus consists of five coaxial 5.0 cm diameterdiscs separated by 1.0 cm, the radial slots being displaced by 2.0° betweenneighbours. The relative intensities, I, of the detected beam of Kr atoms fortwo different temperatures and at a series of rotation rates were as follows:v/Hz204080100120I (40 K)0.8460.5130.0690.0150.002I (100 K)0.5920.4850.2170.1190.057Find the distributions of molecular velocities, f(v,), at these temperatures, andcheck that they conform to the theoretical prediction for a one-dimensionalsystem for this low-pressure, collision-free system.

Rotating disk apparatus (RDA) is an instrument primarily containing a turning plate and an…

Answered: P1B.1 A rotating slotted-disc apparatus…

Principles of Instrumental Analysis

7th Edition

ISBN:9781305577213

Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Chapter18: Raman Spectroscopy

Section: Chapter Questions

Problem 18.5QAP

See similar textbooks

Similar questions

2. A one-particle, one-dimensional system has the state function y=(sinat) ()* e/² + (cosat) (32/C) 1/4 2 1/4 e-x²/² е πρ >-x2/c2 xe where a is a constant and c = 2.000 Å. If the particle's position is measured at t = 0, estimate the probability that the result will lie between 2.000 Å and 2.001 Å.
The first three absorption lines in the pure rotational spec- trum of gaseous 12C16O are found to have the frequencies 1.15 x 1011, 2.30 × 1011, and 3.46 × 1011 s-1. Calculate: (a) The moment of inertia I of CO (in kg m²) (b) The energies of the J = 1, J = 2, and J = 3 rotational levels of CO, measured from the J = 0 state (in joules) (c) The C-O bond length (in angstroms)
The moment of inertial of 12 C-16 O is I = 1.454 × 10°46 kg*m². The molecule also has a force constant for the C-O bond of 1920N*m. Take the atomic masses of 12 C to be 12.00aμ and 160 to be 16.00aµμ and the conversion factor from 16 atomic mass unit to kg to be 1, 66054 x 1027 kμ. a) Calculate the bond length for the 12 C-1 O molecule b) Calculate a the reduced mass for the 12 C-16 O molecule c) Calculate the vibrational frequency of 12 C-160 d) Calculate the zero point vibrational energy of this molecule e) Calculate the moment of inertia for the molecule f) Calculate the rotational energy of the J = 1 and J = 2 energy levels
The molar absorptivity for aqueous solutions of phenol at 211 nm is 6.17 × 103 L cm-1 mol-1. Calculate the permissible range of phenol concentrations if the transmittance is to be less than 85% and greater than 7% when the measurements are made in 1.00-cm cells.
The wavenumber of the incident radiation in a Ramanspectrometer is 20 623 em·'. What is the wavenumber of thescattered Stokes radiation for the J = 4 ~ 2 transition of 160 2?
Use eqn 14D.4 to deduce expressions for (a) the root-mean-square separation of the ends of the chain, (b) the mean separation of the ends, and (c) their most probable separation. Evaluate these three quantities for a fully flexible chain with N = 4000 and l = 154 pm.
Calculate the energies of the first four rotational levels of 1H127I free to rotate in three dimensions; use for its moment of inertia I = μR2, with μ = mHmI/(mH + mI) and R = 160 pm. Use integer relative atomic masses for this estimate.
The rotational constant of 127I35CI is 3.423 GHz. Ca lculate the ICI bond length.
Given these two equations, calculate Cv for CO2 and N2 using the velocity of sound. 6. According to statistical mechanics, the contribution to Cy due to the ith vibrational mode of a molecule is c ee;/T Cv,vib,4 = R(7) ³ (e®,/T — 1)² › where Oi = hcv./kB, h is Planck's constant, and c is the speed of light in cm s-¹. v; is the vibrational frequency of the ith vibrational mode in wavenumbers (cm-¹). The quantity O, has dimensions of temperature and is sometimes referred to as the vibrational tem- perature (of the ith vibrational mode). The total vibrational contribution to the molar heat capacity for an N-atom (linear) molecule is then Cy,vib Cv,vib,i Calculate Cy for CO₂ at 300 K, assuming that the translational and rotational con- tributions are (3/2)R and R, respectively, and use the preceding equations to obtain the vibrational contribution. Four vibrational modes for CO₂ are expected (3N- 5). How- ever, three fundamental frequencies are observed at v= 667.3, 1340, and 2349.3 cm-¹.…
For 'H3$Cl molecule, (N1/No) ratio at 300 K is 6.091 x 10². Calculate the wavenumber ( in cm') for J=2→J=3 transition in the microwave spectrum of the molecule.
Express a wavelength of 442 nm as (a) a frequency. (b) a wavenumber.
Calculate the wavenumber of the first overtone transition w ith v = 2 ~ 0 in nitric oxide. NO. given that the valueof the vibrational wavenumber is v = 1904.03 em·' and theanharmonicity constant is x, = 0.0073.

SEE MORE QUESTIONS

Recommended textbooks for you

Principles of Instrumental Analysis

Chemistry

ISBN:

9781305577213

Author:

Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:

Cengage Learning

Fundamentals Of Analytical Chemistry

Chemistry

ISBN:

9781285640686

Author:

Skoog

Publisher:

Cengage

Principles of Instrumental Analysis

Chemistry

ISBN:

9781305577213

Author:

Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:

Cengage Learning

Fundamentals Of Analytical Chemistry

Chemistry

ISBN:

9781285640686

Author:

Skoog

Publisher:

Cengage

SEE MORE TEXTBOOKS