When two atoms collide, some of their kinetic energy may be converted into electronic energy in one or both atoms. If the average kinetic energy is about equal to the energy for some allowed electronic transition, an appreciable number of atoms can absorb enough energy through an inelastic collision to be raised to an excited electronic state. (a) Calculate the average kinetic energy per atom in a gas sample at 298 K. (b) Calculate the energy difference between the n = 1 and n = 2 levels in hydrogen. (c) At what temperature is it possible to excite a hydrogen atom from the n = 1 level to n = 2 level by collision? [The average kinetic energy of 1 mole of an ideal gas is ( 3 2 ) R T .]
When two atoms collide, some of their kinetic energy may be converted into electronic energy in one or both atoms. If the average kinetic energy is about equal to the energy for some allowed electronic transition, an appreciable number of atoms can absorb enough energy through an inelastic collision to be raised to an excited electronic state. (a) Calculate the average kinetic energy per atom in a gas sample at 298 K. (b) Calculate the energy difference between the n = 1 and n = 2 levels in hydrogen. (c) At what temperature is it possible to excite a hydrogen atom from the n = 1 level to n = 2 level by collision? [The average kinetic energy of 1 mole of an ideal gas is ( 3 2 ) R T .]
Solution Summary: The author explains how Bohr developed a rule for quantization of energy that could be applicable to the electron of an atom.
When two atoms collide, some of their kinetic energy may be converted into electronic energy in one or both atoms. If the average kinetic energy is about equal to the energy for some allowed electronic transition, an appreciable number of atoms can absorb enough energy through an inelastic collision to be raised to an excited electronic state. (a) Calculate the average kinetic energy per atom in a gas sample at 298 K. (b) Calculate the energy difference between the n = 1 and n = 2 levels in hydrogen. (c) At what temperature is it possible to excite a hydrogen atom from the n = 1 level to n = 2 level by collision? [The average kinetic energy of 1 mole of an ideal gas is
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3
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R
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Suppose that you have a solution containing a substance whose molecules have two quantum states corresponding to different orientations of a certain subgroup of atoms. The energy difference between these two molecular states is ΔE = 0.130 eV. You are running an experiment where no more than 5% percent of the molecules can be in the higher-energy state, or it will cause unacceptable noise. Can you run the experiment at room temperature, or do you need to cool your solution? Decide by determining the percentage of molecules in the higher-energy state.
The percentage of molecules in the higher-energy state is_____ %.
In the reaction of Lithium and Fluorine, each Li atoms takes 1 electron from an F atom to form 1 mol of gaseous Li+F- ion pair. Due to their opposite charges, they attract each other with a net force of 6.735 x 10-12N. Calculate the amount of energy when one mole of Li+F- ion pairs is formed from the separated ions, given that n=7. The observed inter-nuclear distance in the gas phase between ions is 156 pm. (Use ε0= 8.85 x 1012 C2/N-m2).
Do not round off your answers from the start of the solution until the final answer.
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The Bohr Model of the atom and Atomic Emission Spectra: Atomic Structure tutorial | Crash Chemistry; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=apuWi_Fbtys;License: Standard YouTube License, CC-BY