Respuesta :
These are two questions and two answers
Question 1.) The atomic emission spectrum of hydrogen includes four visible colors of light: red, blue-green, indigo, and violet. Which color of light corresponds with the largest electron transition?
A.) blue-green
B.) red
c.) indigo
d.) violet
Answer:
- violet
Explanation:
The atomic emission spectrum is the set of coloer lines or frequencies of electromagnetic waves emitted by the atoms of an element due to the transition of the electrons from an upper energy level to a lower energy level.
The higher the jump of the electron during the transition, the higher the energy of th emssion and the higher the frequency of the electromagnetic wave emitted.
The color of light is related with the frequency of the electromagnetic wave.
The order of the frequencies for the visible light are:
- red < orange < yellow < green < blue < indigo < violet.
Then, violet is the visible light with the highest energy, whicn means that it corresponds to the largest electron transition.
Quesiton 2.) Hydrogen’s emission spectrum includes a line of violet light that has a frequency of 7.31∗10¹⁴ Hz. What is the energy (in joules) a photon of the violet light?
Answer:
- 4.84 × 10⁻¹⁹ J
Explanation:
The energy of a photon of light is related with its frequency by the Planck - Einstein equation:
- E = h×f
Where,
- E is the energy of the photon,
- h is Planck's constant: 6.626 × 10⁻³⁴ J.s
- f is the frequency of the photon.
Then, you can just substitute the frequency and the constant to obtain the energy:
- E = 6.626 × 10⁻³⁴ J.s × 7.31 10¹⁴ Hz = 4.84 × 10⁻¹⁹ J ← answer
(1) The color of light that corresponds with the largest electron transition is violet.
(2) The energy of the violet light with the given frequency is 4.84 x 10⁻¹⁹ J.
The increasing order of the frequencies of the visible light in electromagnetic spectrum include the following:
- Red
- Orange ↓
- Yellow
- Green
- Blue
- Indigo
- Violet.
Thus, the color of light that corresponds with the largest electron transition is violet.
(2)
The energy of the violet light with the given frequency is calculated as follows;
E = hf
where;
- h is Planck's constant = 6.626 x 10⁻³⁴ Js
E = (6.626 x 10⁻³⁴) x (7.31 x 10¹⁴)
E = 4.84 x 10⁻¹⁹ J.
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