2. Consider the rotational/vibrational spectrum of HBr, shown below. From this spectrum estimate the effective spring...
Shown below is the vibration-rotation spectrum of Hydrogen
Bromide (HBr), this shows transitions between the
v = 0 and v = 1
vibrational levels of the molecule.
From the data, estimate the force constant (spring constant) for
this molecule, given that the relative atomic weights for H and Br
are 1 mu and 80 mu respectively.
Why is this vibrational transition split into 2 series of lines
with a “missing” line in between them at the center? For each of...
III An infrared absorbance spectrum C"O is shown below. Based on this information, Iculate the following: a) the fundamental vibrational frequency (in Hz) of this molecule; b) the period of the vibration; c) the force constant; d) the zero-point energy of this molecule in kJ/mole; e) the approximate value of the rotational constant. Note that "zero point" energy means the lowest vibrational energy the molecule can have. The isotopic masses of "C and "O are 12.000000 and 15.994915 amu, respectively....
Solve 1st one asap
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant k-1,550 N m In...
SOLVE THE 3RD ONE INCLUDE ALL
THE STEPS
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
Question (b)
Ans : root(7/2) , 16/((5)^(1/2))
9. Consider a mass-spring system as shown in the figure with a body of mass m, a spring and a dashpot. Let k, c and r(t) be the spring constant, the damping constant and driving force, respectively Let y(t) be the displacementMass of the body from the equilibrium with downward direction as positive. b) [7pts] Let m=1, c=1, k=4, and r(t) 8cosut. Determine w such that you get the steady-state vibration of maximum...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
1- Consider a spring mass system shown below with K = 8N/m and m= 9kg. It's not given intial conditions X, = 2 m und = 4m/s 4 W- m * Calculate graph s(t) for two full period (label ases] Calculate and ~ Calculate vct) "Caclate alt) - Vibration dynamics
Consider a mass-spring system shown below with a hard spring. That is, it requires more force to deform the same amount as the spring stretches/compresses. elle m The equation of motion is given by mä+kx3 = mg, where x is the stretch of the spring from its undeformed length, m is the mass of the block, k is the spring constant, and g is the gravitational acceleration. After the equation of motion is linearized about its equilibrium position, it can...
Please consider the C2-c3 rotational energy diagram for (R)-2-methylbutanoic acid, shown below. in the boxes provided, please draw a clear, accurate, and unequivocal Newman projection for each indicated rotamer. [3 pts eal Newman (B) : C2-C3 rotational diagram fofically pure) Newman (E) Newman (A)
3. Consider the spring - mass system shown below, consisting of two masses mi and ma sus- pended from springs with spring constants ki and k, respectively. Assume that there is no damping in the system. a) Show that the displacements z1 and 2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above resuit to show that the spring-mass system satisfies the following fourth order differential equation. and ) Find the general solution...