The force constant of the Cl2 molecule is 323 Nm-1. Calculate the energy at the zero point of vibration and if this amount of energy is converted to translational energy, how fast would the molecule be moving?
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- A molecule in a liquid undergoes about 1.0 x 1013 collisions in each second. Suppose that every col lision is effective in deactivating the molecule vibrational ly and that onecoll ision in 200 is effective. Calculate the width (in cm1) ofvibrational transitions in the molecule.Hep structure. Show that the cla ratio for an ideal hexagonal close-paeked struc- ture is G) = 1.633. If cla is signifieantly larger than this value, the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked. 1/2The potential energy of two atoms in a diatomic molecule is approximated by U(r) = a/r12-b/r6, where r is the spacing between atoms and a and b are positive constants. Suppose the distance between the two atoms is equal to the equilibrium distance found in part A. What minimum energy must be added to the molecule to dissociate it - that is, to separate the two atoms to an infinite distance apart? This is called the dissociation energy of the molecule. Express your answer in terms of the variables a and b. For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13\times 10-10m and the dissociation energy is 1.54\times 10-18J per molecule. Find the value of the constant a. Express your answer in joules times meter in the twelth power. Find the value of the constant b. Express your answer in joules times meter in the sixth power.
- please help quickly A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (a) every collision is effective in deactivating the molecule rotationally and (b) that one collision in 10 is effective. Calculate the width (in cm-1) of rotational transitions in the molecule.(a) Express the moment of inertia of an octahedral AB6 molecule in terms of its bond lengths and the masses of the B atoms. (b) Ca lcu late the rotationa l constant of 32S19F6, for which the S-F bond length is 158 pm.One description of the potential energy of a diatomic molecule is given by the Lennard–Jones potential, U = (A)/(r12) - (B)/(r6)where A and B are constants and r is the separation distance between the atoms. Find, in terms of A and B, (a) the value r0 at which the energy is a minimum and (b) the energy E required to break up a diatomic molecule.
- Maxwell velocity distribution. Consider an ideal gas that obeys a Maxwell velocity distribution. Each particle has mass m. (a) Calculate the expected kinetic energy of a gas molecule using the Maxwell distribution. Could you have calculated the expected value another way? (b) Is your answer to part (a) equal to (i)mc² , (ii)mums , (ii) ;mup, none of these. Recall C is the average speed,Urms is the root-mean-square speed, and Ump is the most probable speed. Show your work. (c) If the temperature is held constant, but the mass m of each particle is increased by a factor of 4, by how much does your answer to (a) change? By how much does C change?Hi, could I get some help with this micro-macro connection physics problem involving the rotational frequency of a molecule? The set up is: Treating the diatomic oxygen molecule O2 as a perfect dumbbell with length 0.12 nm between the molecules, what is the rotational frequency of the molecule in gigahertz (GHz) at a cold temperature of 100 kelvin (K) to 4 digits of precision if kB = 1.38e-23 J/K and the mass of O2 is 16 u, where the atomic mass unit u = 1.66e-27 kg? Thank you.Calculate the molecular translational partition functions in a volume of 1 cm at 298°K for the hydrogen molecule: H2 6.134 x 1025 O 6.175 x 1024 O 1.118 x 1023 O 1.173 x 1025 2.750 x 1024
- The effective spring constant describing the potential energy of the HBr molecule is 410 N/m and that for the NO molecule is 1530 N/m. (a) Calculate the minimum amplitude of vibration for the HBr molecule. (b) Calculate the minimum amplitude of vibration for the NO molecule.Hcp structure . Show that the c/a ratio for an ideal hexagonal close- packed structure is (8/3)^1/2 = 1.633 . if c/a is significantly larger than this value , the crystal structure may be thought of as composed of planes of closely packed atoms, the planes being loosely stacked.What is the typical rotational frequency frot for a molecule like N2 at room temperature (25 °C)? Assume that d for this molecule is 1 À = 10-10 Take the total mass of an N2 molecule to be mN, m. kg. You will need to account for rotations around two axes (not just one) to find 4.65 x 10-26 the correct frequency. Express frot numerically in hertz, to three significant figures. nν ΑΣφ ? frot Hz II