A gas in water at 298K, assuming the gas molecule can be Estimate the diffusivity of approximated...
a gas in water at 298K, assuming the gas molecule can be Estimate the diffusivity of approximated as a sphere of radius 0.4 nm. You may assume the viscosity of water is 8.90x10 Pa s.
A free-electron model for a benzene molecule can be approximated via a particle rotating in a ring (2-D rigid rotor problem). Use this model assuming the radius of benzene of 1.39 ˚A to answer the following questions: a) Find the energies of the occupied electronic levels; plot a schematic diagram of the electronic levels. b) Calculate the wavelength (in nm) of the lowest-energy electronic transition in benzene. c) In what region of the electromagnetic spectrum is this transition? How does...
2. The charge distribution of a water molecule can be approximated by the diagram shown. The + charges represent the hydrogen atoms, cach distance from the origin, and the -2 charge represents the oxygen atom, located a distance b from the origin a. (8 pts.) Find an expression for the electric potential at the pointy, located on the y-axis, as shown. Assume that the potential is zero at a distance of infinity from the molecule + to b. (12 pts.)...
1) Assuming that a diatomic molecule can be approximated by a rigid rotor with a inertia momen- tum I = 10–38g cm², calculate the rotational frequency of the radiation that will cause a transition from the J = 1 state to the J = 2 state. In which region of the electromagnetic spectrum this transition will be found?
The diffusion coefficient for horse hemoglobin in water is 1.26 × 10–10 m2 s–1 at 40 °C. The viscosity of water at 40 °C is 0.653 × 10–3 kg m–1 s–1. Estimate the radius of hemoglobin assuming the molecule to be spherical and obey Stokes’s law. Comment on the size of Hemoglobin to a corona virus unit which has a diameter of 120 nm.
A drug has an equilibrium solubility in water of 0.0025 g cm^-3. The diffusivity of the drug in water is 0.9 x 10^-5 cm2/sec. The drug is made into particles that have a radius of 0.1 cm and these particles have a density of 1.27 g/cm^3. These particles are all of the same size and are gently mixed in water in a stirred vessel. Estimate the length of time in hours (hrs) that it will take for these drug particles...
Assume that a viral DNA molecule is a 11-μm-long strand with a uniform 20-Å diameter. Assuming complete flexibility of the molecule, will it fit inside a viral head that is a 8×10−2-μm-diameter sphere? Part A)What is the volume of the viral head in cubic angstrom (Å3)? Hint: Recall that the volume of a sphere can be calculated using this formula: Volume= (4/3) x pi x r2, where r stands for radius of the sphere. Also note that 1Å=0.1 nm. Express...
Estimate ωc for water molecules in liquid water at 17 ◦ C, given that m = 3.0 × 10−26 kg. Remember that the number of states is VrVp/h^3. For an estimate of the accessible volume in momentum space, assume that the maximum magnitude of the momentum for any molecule is roughly equal to the root mean square value; most accessible states reside within a sphere of that radius in momentum space. Assume that any one molecule can go anywhere within...
You can obtain a rough estimate of the size of a molecule by the following simple experiment. Let a droplet of oil spread out on a smooth surface of water. The resulting oil slick will be approximately one molecule thick. Given an oil droplet of mass 12.00 ✕ 10-7 kg and density 878 kg/m3 that spreads out into a circle of radius 41.8 cm on the water surface, what is the order of magnitude of the diameter of an oil...
15. What is the diffusion coefficient (m/s) in water at 25°C of a bovine pancreas ribonuclease (an enzyme that digests RNA) whose molecular weight is 1.369x109 and which is spherical?, Assuming the protein is an unhydrated sphere and its density is 1.414 g/cm'. The viscosity of water is 10- Pas. [Hint: Calculate the radius of the protein and use the Einstein relation to estimate the diffusion coefficient.] (10 pts)