Ionization Energy: Homework Problem Solving

In summary, the conversation discusses the calculation of ionization potential in an hydrogen atom, using the equation En = -13.7 × Z^2÷n^2. The participants determine the ionization potential by finding the energy in each state and dividing it by 1.60218e-19 to obtain the potential in eV. The difference between n=2 and n=3 states is used to find the value of E, which is then multiplied by the ionization potential in n=1 to obtain the answer. Confusion arises from the use of "ionization potential in volts" instead of eV.
  • #1
Magnetic Boy
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Homework Statement

.[/B]
Suppose the energy difference between the states n=2 and n=3 is E(eV), in an hydrogen atom. then the ionization potential in volts is: A) 13.2E B) 7.2E C) 3.2 E D) 0.56E

Homework Equations


En = -13.7 × Z^2÷n^2

The Attempt at a Solution


I just know the ionization energy is equal to the total energy in last stationary state. but i can't apply the concept on this problem.
 
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  • #2
E = (-13.7)/9-(-13.7)/4 is the energy difference

And the ionization energy is 13.7eV

what do you think you have to do now?
 
  • #3
You got the energy in each state.Divide that by 1.60218e-19 you get the ionization potential of each state in eV.Now find the difference between n=2 and n=3 states.Give that as E.Find ionization potential in n=1.See what multiple of E is that.You got the answer.They gave "ionization potential in volts" to confuse you.
Volt*Q(e)=eV.In this problem both have the same numerical value.
 
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  • #4
Joyal babu said:
You got the energy in each state.Divide that by 1.60218e-19 you get the ionization potential of each state in eV.Now find the difference between n=2 and n=3 states.Give that as E.Find ionization potential in n=1.See what multiple of E is that.You got the answer.They gave "ionization potential in volts" to confuse you.
Volt*Q(e)=eV.In this problem both have the same numerical value.
Thank you. It was helpful. And solved.
 

1. What is ionization energy?

Ionization energy is the amount of energy required to remove an electron from an atom, resulting in the formation of a positively charged ion.

2. How is ionization energy measured?

Ionization energy is typically measured in units of joules (J) or electron volts (eV). It can also be expressed in kilojoules per mole (kJ/mol) for larger atoms or molecules.

3. What factors affect ionization energy?

Ionization energy is affected by a few key factors, including the number of protons in the nucleus, the distance between the nucleus and the outermost electrons, and the shielding effect of inner electrons.

4. What is the trend for ionization energy in the periodic table?

Generally, ionization energy increases from left to right across a period in the periodic table, as the number of protons and the strength of the nuclear attraction increases. It decreases down a group, as the distance between the nucleus and outer electrons increases.

5. How can ionization energy be used in chemistry?

Ionization energy is an important concept in chemistry, as it can help predict the reactivity and chemical properties of elements. It is also used in various analytical techniques, such as mass spectrometry, to identify and analyze the composition of substances.

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