(18%) Fill the below table with the average energy in J/mol of a system: translations, rotations, and vibrations (In the classical limit). System Translation Atoms Rotation Vibration →
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- Fill the below table with the Molar heat capacity (Cv) of a system: translations, rotations, and vibrations (In the classical limit). System Translation Rotation Atoms Di-atomic molecules ⇓ VibrationWe can use the classical harmonic oscillator to think about molecular bonds. The HCI molecule has a force constant k = 481 N/m. For the mass, use the reduced mass, which is defined as µ = (m₁m₂)/(m₁+m₂). a) Plot the potential energy of HCl from -1 to 1 Å. What happens to the curvature of the potential as the force constant is varied? What does this mean physically? b) Plot position as a function of time for a total energy of 6 x 10-20 J. What is the period of the motion? How does the period change as the force constant is varied? Explain why this makes sense physically.The Helmholtz fundamental relation for a system is given by A = -3 * 4 4/3 a 1/3T4/3y2/3 N/3 where a= const. Find the fundamental relation in the internal energy representation. %3D
- (Q. 8) Consider a linear triatomic molecule A – B-A, where mass of the atom B is twice that of the mass of atom A. Find the normal modes of vibrations by computing relative displacements during vibration and indicate them by arrows on the atoms.Q3/ Put the following information in an appropriate mathematical form: 1- Population of a rotational-oscillational energy level for a specific electronic state. 2- The peak value of the Lorentzian curve. 3- The mean thermal velocity for the atoms in the gas state. 4 The ratio between the probabilities of the electric and magnetic transition. 5- The relation between the energy density and the distribution of spectral energy density.A ALEKS-Alasia Fuqua-Learn X VHL Central | Dashboard x G when you take the logarithm doy x + ← C www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IBjuJnuCDtT6kRBabGFF3MOAKZ_UVX0N202gOiJQTdIGDtYib1Jke3qJJtY-n0BOXd4GOr80JmhB6zbOrS5lo8W-LPce6pq?10Bw7QY = Apple Music O CHEMICAL REACTIONS Writing the net equation for a sequence of reactions 0 X G mg to g-Google Search There are two steps in the usual industrial preparation of acrylic acid, the immediate precursor of several useful plastics. In the first step, calcium carbide and water react to form acetylene and calcium hydroxide: CaC₂(s)+2H₂O(g)-C₂H₂(9)+ Ca(OH)₂(s) In the second step, acetylene, carbon dioxide and water react to form acrylic acid: 6C₂H₂(9)+3 CO₂(g) + 4H₂O(g)-5CH₂CHCO₂H(9) Write the net chemical equation for the production of acrylic acid from calcium carbide, water and carbon dioxide. Be sure your equation is balanced. Explanation X Check X Do DO 1/5 S Feb 1 Alasi BEEN olo Ar 7:09 1
- 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.We discussed in class (several times) how the Boltzmann distribution can be used to relate the relative populations of two states differing in energy by AU. Suppose you are given a vial containing a solution of glucose in water (don't ask why this would happen). For the purpose of this question, glucose exists in one of two conformations-"chair" or "boat"-with an energy difference (AU) of 25.11 kJ mol1 between them. 1. What would be the proportion of molecules in the "boat" conformation at 310K? 2. Thinking back to our discussion of the individual sources of energy that go into the potential energy calculation for a molecule (e.g. Upond Uangle, Uelectrostatic. etc), give a plausible explanation of why the "boat" conformation is less stable. H он "Chair" OH "Вoat" но но но- HO. H. HO. HO H. HO. OHFor the equation 2K + Cl2------>2KCl. I understand Cl is diatomic , but where does the 2 in front of the K come from.
- 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 levelsBb MYJCC Blackboard Learn WebAdvisor for Students JCC Self Service Bb UTF-8 Syllabus_CHM%20151%2 X A ALEKS - Griffin Barden - Learn m/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IJczzdcvSCzsqTCIDqNGV3bKghMfPmUcQ4ENkmiXn9QCwgeDPDkQ06yszYWEsPcekwL0-Qg619rekU7404HgFAGbEZaDr080?1oBw7QYjlbavbSP O THERMOCHEMISTRY Understanding the definitions of heat and work A mixture of gaseous reactants is put into a cylinder, where a chemical reaction turns them into gaseous products. The cylinder has a piston that moves in or out, as necessary, to keep a constant pressure on the mixture of 1 atm. The cylinder is also submerged in a large insulated water bath. (See sketch at right.) 1 atm pressure uoIsid cyli From previous experiments, this chemical reaction is known to release 241. kJ of energy. The position of the piston is monitored, and it is determined from this data that the system does 133. kJ of work on the piston during the reaction. gases exothermic Is the reaction exothermic or endothermic?…Consider the simple functions below, f(x) = x? (1) f(x) = x³ (2) f(x) = x* + 2x3 (3) f(x) = sin(x) (4) f(x) = cos(x) (5) f(x) = e* (6) f(x) = sin(x) + cos(x) (7) f(x) = cos (x) + sin?(x) (8) f(x) = cos(x) +1 (9) f(x) = sin(x) + x (10) (a) Of the ten which function(s) are odd. Indicate them by their equation number and draw a box around your answer. (b) Of the ten which function(s) are neither even nor odd. Indicate them by their equation number and draw a box around your answer.