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Use Avogadro’s constant to relate the
mass and molar mass of molecules and
ionic compounds to their elementary
entities (atoms or ions)
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- Explain why [1,3] sigmatropic migrations of hydrogen cannot occur under thermal conditions, but [1,3] sigmatropic migrations of carbon can.Calculate the relative intensities M+1 and M+2 for CH3COOHPlot the Born-Haber cycle for K2O. (Without using their numerical values, writing the necessary reaction equations and stating that they are heaters or heat takers.)
- How is this absorption of light related to the molecular shape of the atmospheric gases? Their symmetry? Theirpolarity?Derive an expression for the mean energy of a collection of molecules that have three energy levels at 0, ε, and 3ε with degeneracies 1, 5, and 3, respectively.What properties of a nonideal gas do the Vander Waals constants represent?
- Explain whether you will expect a highr or lower internal energy for a mono-atomic molecules such as Ar compared to the multi-atomic molecules having the same molecular weight, Assume that the two molecules under the same temperature and pressure.Calculate the value of CP at 298 K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the classical equipartition theorem. Compare the predicted results with the experimental results and calculate the percent of the measured value that arises from vibrational motions.True or false? At 298K, N2 molecules have a mean speed of 475 m/s. As a consequence, the probability to randomly pick 1 molecule at 475.00 m/s is extremely high.
- The molar specific heat of a diatomic gas is measured at constant volume and found to be 29.1 J/mol. K. The types of energy that are contributing to the molar specific heat are: (a) translation only (b) translation and rotation only (c) translation and vibration only (d) translation, rotation, and vibration. And why?The cohesive energy density, U, is defined as U/V, where U is the mean potential energy of attraction within the sample and V its volume. Show that U = 1/2N2∫V(R)dτ where N is the number density of the molecules and V(R) is their attractive potential energy and where the integration ranges from d to infinity and over all angles. Go on to show that the cohesive energy density of a uniform distribution of molecules that interact by a van der Waals attraction of the form −C6/R6 is equal to −(2π/3)(NA2/d3M2)ρ2C6, where ρ is the mass density of the solid sample and M is the molar mass of the molecules.At 298K, N2 molecules have a mean speed of 475 m/s. As a consequence, the probability to randomly pick 1 molecule at 475.00 m/s is extremely high. Select one: True False