Skip to main content
Ch.6 - Electronic Structure of Atoms
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970당신이 사용하는 게 아니라요?교과서 변경
6장, 문제 82b

If you put 120 volts of electricity through a pickle, the pickle will smoke and start glowing orange-yellow. The light is emitted because sodium ions in the pickle become excited; their return to the ground state results in light emission. b. What is the energy of 1.00 mol of these photons? (A mole of photons is called an Einstein.)

검증된 단계별 안내
1
Identify the wavelength or frequency of the light emitted by the sodium ions. The orange-yellow light corresponds to a specific wavelength, typically around 589 nm for sodium.
Use the speed of light equation, \( c = \lambda \nu \), to find the frequency (\( \nu \)) if you have the wavelength (\( \lambda \)). Here, \( c \) is the speed of light, approximately \( 3.00 \times 10^8 \) m/s.
Calculate the energy of a single photon using the equation \( E = h \nu \), where \( h \) is Planck's constant, approximately \( 6.626 \times 10^{-34} \) J\(\cdot\) s.
Convert the energy of a single photon to the energy of 1 mole of photons (an Einstein) by multiplying the energy of one photon by Avogadro's number, \( 6.022 \times 10^{23} \) mol\(^{-1}\).
Express the final energy in joules per mole, which represents the energy of 1.00 mol of these photons.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Photon Energy

Photon energy is the energy carried by a single photon, which can be calculated using the equation E = hν, where E is energy, h is Planck's constant (6.626 x 10^-34 J·s), and ν (nu) is the frequency of the light. This relationship shows that higher frequency light has more energy, which is relevant when considering the light emitted by excited sodium ions in the pickle.
추천 영상:
가이드 코스
01:40
Photon Energy Formulas

Moles and Avogadro's Number

A mole is a unit in chemistry that represents 6.022 x 10^23 entities, known as Avogadro's number. When discussing energy in terms of moles of photons, it is essential to understand that 1 mole of photons contains this fixed number of photons, allowing for the calculation of total energy by multiplying the energy of a single photon by Avogadro's number.
추천 영상:
가이드 코스
02:41
Moles and Particles Conversion

Excitation and Emission of Electrons

When sodium ions in the pickle are exposed to electricity, their electrons absorb energy and move to a higher energy level, a state known as excitation. When these electrons return to their ground state, they release energy in the form of light. This process is fundamental to understanding how the glowing effect occurs in the pickle when subjected to high voltage.
추천 영상:
관련 실천
교과서 질문

In August 2011, the Juno spacecraft was launched from Earth with the mission of orbiting Jupiter, arriving nearly five years later in July of 2016. The distance between the two planets varies depending on where each planet is in its orbit, but at the closest, the distance between Jupiter and Earth is 391 million miles. What is the minimum amount of time it takes for a transmitted signal from Juno to reach the Earth?

3
views
교과서 질문

Consider the two waves shown here, which we will consider to represent two electromagnetic radiations: (b) What is the frequency of wave A?

605
views
교과서 질문

Certain elements emit light of a specific wavelength when they are burned or heated in a non-luminous flame. Historically, chemists used such emission wavelengths to determine whether specific elements were present in a sample. Some characteristic wavelengths for a few of the elements are given in the following table:

Ag 328.1 nm Fe 372.0 nm

Au 267.6 nm K 404.7 nm

Ba 455.4 nm Mg 285.2 nm

Ca 422.7 nm Na 589.6 nm

Cu 324.8 nm Ni 341.5 nm

(c) When burned, a sample of an unknown substance is found to emit light of frequency 6.58 * 1014 s-1. Which of these elements is probably in the sample?

3
views
교과서 질문

Consider the two waves shown here, which we will consider to represent two electromagnetic radiations: (a) What is the wavelength of wave A?

491
views
교과서 질문

The following electron configurations represent excited states. Identify the element and write its ground-state condensed electron configuration. (b) 3Ar44s13d104p25p1

3
views