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- In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction ofObtain the expression for the rotational kinetic energy of the molecule.In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of A= i-hat + j-hat + k-hat and an adjacent C-H bond is at the direction B= i-hat - j-hat - k-hat results to an angular bond of approximately 109o for a static frozen molecule. However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.96i + 0.87j + 0.8k B = 0.94i + -0.98j + -1.07k What is the angle (in degrees) between the bonds based on this new data?
- In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of A= i-hat + j-hat + k-hat and an adjacent C-H bond is at the direction B= i-hat - j-hat - k-hat results to an angular bond of approximately 109o for a static frozen molecule. However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 1.09i + 1.06j + 1.02k B = 1.01i + -0.89j + -1.02k What is the angle (in degrees) between the bonds based on this new data? Note: Only 1% of error is permitted for the correct answer.The spool shown in (Figure 1) has a mass of 100 kg and radius of gyration about its mass center of kc = 0.3 m. The force of F = 170 N is applied to the cable. Figure 0.5 m 0.25 m F 1 of 1 > Express your answer to three significant figures. H=.1732 IVE ΑΣΦ. 41 Submit Previous Answers Request Answer Part B X Incorrect; Try Again; 4 attempts remaining α = vec What is the angular acceleration of the spool? Express your answer in radians per second squared to three significant figures. Submit IVE ΑΣΦΑΛΗ Avec Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? www. ? rad/s²What 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
- (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.The l = 2 rotational level of the hydrogen chloride (HCl) molecule has energy 7.90 meV. The mass of the most common hydrogen atom is 1.674 * 10-27 kg, and the mass of the most common chlorine atom is 5.807 * 10-26 kg. Find the reduced mass of the HCl moleculeTwo nitro (NO,) groups are chemically bonded to a patch of surface. They can't move to another location on the surface, but they can rotate (see sketch at right). It turns out that the amount of rotational kinetic energy each NO, group can have is required to be a multiple of ɛ, where ɛ=1.0 x 10 -24 J. In other words, each NO, group could have ɛ of rotational kinetic energy, or 2ɛ, or 3ɛ, and so forth – but it cannot have just any old amount of rotational kinetic energy. Suppose the total rotational kinetic energy in this system is initially known to be 84ɛ. Then, some heat is removed from Two rotating NO, groups the system, and the total rotational kinetic energy falls to 40ɛ. Calculate the change in entropy. bonded to a surface. Round your answer to 3 significant digits, and be sure it has the correct unit symbol.
- • Problem 3.22 The potential energy between the atoms of an hydrogen molecule can be modelled by means of the Morse potential -2(r – ra) (r V (r) = V exp 2 еxp where Vo = 7 × 10 12 erg, ) = 8 x 10-º cm and a = 5 x 10-º em.An isolated LiCl molecule has its chloride ion (mass = 35 u) at x= 0 pm , and its lithium ion (7 u) at x = 202 pm. Where is the LiCl molecule's mass centered? 40.4 pm O 101 pm O o pm O +33.7 pm O 202 pm cannot determine with the information givenTwo atoms of cesium (Cs) can form a Cs2 molecule. The equilibrium distance between the nuclei in a Cs2 molecule is 0.447 nm. Calculate the moment of inertia about an axis through the center of mass of the two nuclei and perpendicular to the line joining them. The mass of a cesium atom is 2.21*10-25 kg.
