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Physical Chemistry
- Estimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)arrow_forwardConsider burning ethane gas, C2H6 in oxygen (combustion) forming CO2 and water. (a) How much energy (in J) is produced in the combustion of one molecule of ethane? (b) What is the energy of a photon of ultraviolet light with a wavelength of 12.6 nm? (c) Compare your answers for (a) and (b).arrow_forwardConsider a collection of 10,000 atoms of rubidium-87, confined inside a box of volume (10-5 m)3. Suppose that T = 0.9Tc. How many atoms are in the ground state? How close is the chemical potential to the ground-state energy? How many atoms are in each of the (threefold-degenerate) first excited states?arrow_forward
- What is the frequency of a photon resulting from the transition of n = 6 → n = 1 ? (give answer to 3 digits)arrow_forwardFor a hydrogen atom, calculate the energy of an electron with principle quantum number n=4, in unit J and then convert it to cm^-1.arrow_forwardI've been told that my answer to 6b is incorrect. How can I tell where on the electromagnetic spectrum a wavelength lies and is there a way to do it without a chart?arrow_forward
- Sketch the orientation of the allowed values of l=1 for the shell n=2arrow_forwardAn electron is accelerated through an electric potential toa kinetic energy of 2.15 x 10-15 J. What is its characteristicwavelength? [Hint: Recall that the kinetic energy of a movingobject is E = 1/2mv2, where m is the mass of the object and n isthe speed of the object.]arrow_forwardFor the system described in Exercise E7B.1(a) (A possible wavefunction for an electron in a region of length L (i.e. from x = 0 to x = L) is sin(2πx/L). Normalize this wavefunction (to 1)), what is the probability of finding the electron between x = L/4 and x = L/2?arrow_forward
- What values of J may occur in the terms (i) 3D, (ii) 4D, (iii) 2G? How many states (distinguished by the quantum number MJ) belong to each level?arrow_forwardIf an electron confined to a potential well of width 1.40 nm with infinite barriers on both sides transitions from n=10 to n=9, what will the wavelength of the emitted radiation be?arrow_forwardIn an X-ray photoelectron experiment. a photon of wavelength 100 pm ejects an electron from the inner shell of an atom and it emerges with a speed of 2.34 x 104 km s-1. Calculate the binding energy of the electron.arrow_forward
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