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Dennis_Churaev [7]
3 years ago
15

The energy levels the electron can occupy in the Be3+ ion can be calculated using the energy level equation. A Be3+ ion with an

electron in the n= 4.00 level emitted a photon with a wavelength of 30.4 nm. What is the value of the level n for the new energy?
Chemistry
1 answer:
Alla [95]3 years ago
6 0

Answer:

n = 2

Explanation:

We will solve this problem using the Rydberg equation  since all the information is given. One has to be very careful in solving for the energy level becuse the numbers are slightly messy as is solving for n.

When the energy of the transition is given in wavelength it is best to use the Rydberg equation in the form:

   1/Lambda = Rh x Z² x ( 1/ n₁² - 1/ n₂²)

Lambda=  30.4 x 10 ⁻⁹ m   ( 1nm = 1 x 10⁻⁹ m)

Rh = 10973700 m⁻¹

Z = 4 for Be³⁺

1/(30.4 x 10⁻⁹ )= 10973700 x  (16) x  (1/ n² - 1/4²)=

0.1873 + 1/16 = 1/ n²

n² = 1/ 0.25

n ² = 4

n= √4 = 2

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The age in years of the Egyptian papyrus, the Aboriginal charcoal, the Mayan headdress, and the Neanderthal skull are 4000 years, 13106.5years , 2040 years, and 30353 years respectively.

<h3>What is the half-life of a radioactive material?</h3>

The half-life of a radioactive material is the time taken for half the atoms present in the material to decay or disintegrate.

The half-life, t_\frac{1}{2}, the age, t, and amount remaining, A_{r}, of a radioactive material are related by the formula below:

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Learn more about half-life at: brainly.com/question/26689704

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