Chapter 4: Problem 68
An ion that has two more electrons outside the nucleus than there are protons in the nucleus will have a charge of
Short Answer
Expert verified
The charge of the ion is \(2p + 2\), where 'p' is the number of protons in the nucleus.
Step by step solution
01
Identifying the number of protons and electrons
The ion has two more electrons than protons. Let's represent the number of protons as 'p' and the number of electrons as 'e'.
02
Establishing the relationship between protons and electrons
Since there are two more electrons than protons, we can use the following equation to represent the relationship: \(e = p + 2\)
03
Calculating the Charge
The charge of the ion can be calculated by finding the difference between the total positive charge and the total negative charge. The total positive charge is equal to the number of protons (p), and the total negative charge is equal to the number of electrons (e).
Charge = (Total Positive Charge) - (Total Negative Charge)
Since the charge of a proton is +1 and the charge of an electron is -1,
Charge = (+1) * p - (-1) * e
We can substitute the value of e from Step 2:
Charge = (+1) * p - (-1) * (p + 2)
04
Simplifying the expression
Now, we can simplify the expression to find the charge:
Charge = p - (-1*p - 2)
Charge = p + p + 2
Charge = 2p + 2
Since the number of protons is not given in the problem, we can leave our answer in terms of p:
05
Final Answer
The charge of the ion is \(2p + 2\), where 'p' is the number of protons in the nucleus.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Protons and Electrons
In chemistry, understanding protons and electrons is crucial when exploring atomic structures. Atoms are composed of protons, neutrons, and electrons. However, when it comes to ion charge calculations, we focus on protons and electrons. Protons reside in the nucleus of an atom and carry a positive charge denoted by +1. Their quantity defines the atomic number of an element. On the other hand, electrons orbit the nucleus and possess a negative charge of -1. The balance between the positive charge of protons and the negative charge of electrons typically results in a neutral atom.
A key operation related to this balance occurs when the number of electrons deviates from the number of protons, generating ions. Gaining excess electrons leads to a negatively charged ion, while losing electrons results in a positively charged ion. Understanding the interplay between protons and electrons is essential for grasping chemical reactions and ion formation.
A key operation related to this balance occurs when the number of electrons deviates from the number of protons, generating ions. Gaining excess electrons leads to a negatively charged ion, while losing electrons results in a positively charged ion. Understanding the interplay between protons and electrons is essential for grasping chemical reactions and ion formation.
Chemical Ions
When talking about ions in chemistry, we refer to atoms or molecules that have gained or lost electrons, resulting in a net charge. Ions are classified as either cations or anions based on their charges. A cation forms when an atom loses electrons, leading to a positive charge because the number of protons exceeds that of electrons. Conversely, an anion arises when an atom gains electrons, acquiring a negative charge as electrons outnumber protons.
For example, if a sodium atom loses one electron, it becomes a sodium ion (Na^+) with a positive charge. Similarly, when a chlorine atom gains an electron, it transforms into a chloride ion (Cl^-) with a negative charge. These chemical ions are paramount in forming compounds, as they combine in such a way as to neutralize their total charges, creating stable ionic bonds.
For example, if a sodium atom loses one electron, it becomes a sodium ion (Na^+) with a positive charge. Similarly, when a chlorine atom gains an electron, it transforms into a chloride ion (Cl^-) with a negative charge. These chemical ions are paramount in forming compounds, as they combine in such a way as to neutralize their total charges, creating stable ionic bonds.
Charge of an Ion
Calculating the charge of an ion involves understanding the contribution of protons and electrons to an atom's overall charge. For a neutral atom, the total positive charge from protons equals the total negative charge from electrons, resulting in no net charge.
To find the charge of an ion, you look at the difference between the number of protons and electrons:
To find the charge of an ion, you look at the difference between the number of protons and electrons:
- If there are more protons than electrons, the ion will have a positive charge, or a cation.
- If there are more electrons than protons, the ion will have a negative charge, or an anion.
- Each proton contributes a +1 charge.
- Each electron contributes a -1 charge.