Concept explainers
Interpretation:
The values of
Concept Introduction:
The relationship between wavelength, frequency and
Where,
Rydberg equation:
R is the Rydberg constant. Its value is
Answer to Problem 1A.16E
The values of
Explanation of Solution
The values of initial and final energy levels can be calculated by using Rydberg formula.
There are two equations possible here.
Now plugging equation
The roots of the above quadratic equation can be obtained as given below.
Therefore, the values of
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Chapter 1 Solutions
Chemical Principles: The Quest for Insight
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- It requires 799 kJ of energy to break one mole of carbon-oxygen double bonds in carbon dioxide. What wavelength of light does this correspond to per bond? Is there any transition in the hydrogen atom that has at least this quantity of energy to one photon?arrow_forwardWhat does it mean to say that the energy of the electrons in an atom is quantized?arrow_forwardAs the weapons officer aboard the Srarship Chemistry, it is your duty to configure a photon torpedo to remove an electron from the outer hull of an enemy vessel. You know that the work function (the binding energy of the electron) of the hull of the enemy ship is 7.52 1019 J. a. What wavelength does your photon torpedo need to be to eject an electron? b. You find an extra photon torpedo with a wavelength of 259 nm and fire it at the enemy vessel. Does this photon torpedo do any damage to the ship (does it eject an electron)? c. If the hull of the enemy vessel is made of the element with an electron configura tion of [Ar]4s13d10, what metal is this?arrow_forward
- The eyes of certain reptiles pass a single visual signal to the brain when the visual receptors are struck by photons of a wavelength of 850 nm. If a total energy of 3.151014 J is required to trip the signal, what is the minimum number of photons that must strike the receptor?arrow_forwardIn 1885, Johann Balmer, a mathematician, derived the following relation for the wavelength of lines in the visible spectrum of hydrogen =364.5 n2( n2 4) where in nanometers and n is an integer that can be 3, 4, 5, . . . Show that this relation follows from the Bohr equation and the equation using the Rydberg constant. Note that in the Balmer series, the electron is returning to the n=2 level.arrow_forwardPlanck originated the idea that energies can be quantized. What does the term quantized mean? What was Planck trying to explain when he was led to the concept of quantization of energy? Give the formula he arrived at and explain each of the terms in the formula.arrow_forward
- A baseball weighs 142 g. A professional pitcher throws a fast ball at a speed of 100 mph and a curve ball at 80 mph. What wavelengths are associated with the motions of the baseball? If the uncertainty in the position of the ball is 12 wavelength, which ball (fast ball or curve) has a more precisely known position? Can the uncertainty in the position of a curve ball be used to explain why batters frequently miss it?arrow_forwardnow have evidence that electron energy levels in atoms are quantized. What if energy levels in atoms were not quantized? What are some differences we would notice?arrow_forward
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