Be sure to answer all parts. The ionization energy of a certain element is 432 kJ/mol. (Ionization energy is the minimum energy required to remove an electron from an atom. It is usually expressed in units of kJ/mol; that is, it is the energy in kilojoules required to remove one mole of electrons from one mole of atoms.) However, when the atoms of this element are in the first excited state, the ionization energy is only 146 kJ/mol. Based on this information, calculate the wavelength of light emitted in a transition from the first excited state to the ground state. (Enter your answer in scientific notation.)

Question
Asked Oct 20, 2019
503 views

Be sure to answer all parts.
 
The ionization energy of a certain element is 432 kJ/mol. (Ionization energy is the minimum energy required to remove an electron from an atom. It is usually expressed in units of kJ/mol; that is, it is the energy in kilojoules required to remove one mole of electrons from one mole of atoms.) However, when the atoms of this element are in the first excited state, the ionization energy is only 146 kJ/mol.
 
Based on this information, calculate the wavelength of light emitted in a transition from the first excited state to the ground state.

 

(Enter your answer in scientific notation.)

check_circle

Expert Answer

Step 1

Given information:

Ionization energy of certain element = 432 kJ/mol

Ionization energy of that element for first excited state = 146 kJ/mol

Step 2

The expression for 1 photon of energy can be written in terms of Planck’s constant (h), speed of light (c)and wavelength (λ) as follows:

hc
E N
help_outline

Image Transcriptionclose

hc E N

fullscreen
Step 3

The wavelength of light emitted in a transition from the first exci...

hc
=NA
ΔΕ
6.023x1023 mol1x6.626x1034 J.sx3.0x10 m.s1
(432-146) kJ/mol
119.7251 10 J.m
1000 J
286 kJx
1kJ
119.7251x103
286000
4.18x10 m
help_outline

Image Transcriptionclose

hc =NA ΔΕ 6.023x1023 mol1x6.626x1034 J.sx3.0x10 m.s1 (432-146) kJ/mol 119.7251 10 J.m 1000 J 286 kJx 1kJ 119.7251x103 286000 4.18x10 m

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Chemistry

Atomic structure

Related Chemistry Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Use equilibrium concentrations to calculate K.   Some NOBr is placed in a flask and heated t...

A: GivenConcentration of NOBr= 2.14x10-2MConcentration of  NO = 2.66x10-2MConcentration of Br2 = 2.98 x...

question_answer

Q: How do I solve this question?

A: Hydrogen bonding is a type of dipole-dipole interaction of molecules when the hydrogen is bonded to ...

question_answer

Q: Nitric acid is produced in the following steps: 4NH3(g) + 5O2(g) => 4NO(g) + 6H2O(l)  2NO(g) + O...

A: On calculating the oxidation numbers of the reactants according to the reaction

question_answer

Q: 0.244 L of 0.200 M HCl(aq) is combined with 0.0600 L of 0.400 M CH3NH2(aq).  What is the pH of the r...

A: Given Volume of .200M HCl= 0.244LVolume of 0.400M CH3NH2 = 0.600LKb = 4.4x10-4

question_answer

Q: Write nuclear equations for the following process: positron emission of radium-226

A: Positron (β+) is an anti-electron particle having a charge same as that of electron but of opposite ...

question_answer

Q: Not sure if I finished and balanced this equation correctly on my homework : (Nh4)2S + Br2 = Nh4Br +...

A: In a balanced chemical equation the total number of atoms on either side of the reaction arrow must ...

question_answer

Q: how many grams of O2 required for the combustion of 22.9 g of ethylcylopentane?

A: The given reaction of ethylcyclopentane is,

question_answer

Q: Be sure to answer all parts.Consider the following energy levels of a hypothetical atom:E4 −2.21 × 1...

A: The wavelength of the photon needed to excite an electron from Ei to Ef is given as:

question_answer

Q: Why is it important to heat the empty evaporating dish at the beginning of the lab procedure of perc...

A: The percentage of water in Copper (II) sulfate measured by dry crucible than only we get more accura...