Question

Write the symbol of each atom using the \(\left(_{Z}^{A} X\right)\) format.

Short answer

To write the symbol of an atom using the \(\left(_{Z}^{A} X\right)\) format, follow these steps: 1. Identify the element using its atomic number (\(Z\)). 2. Determine the mass number (\(A\)), which is the sum of protons and neutrons. 3. Write the symbol using the format \(\left(_{Z}^{A} X\right)\), where \(Z\) is the atomic number, \(A\) is the mass number, and \(X\) is the element symbol. For example, for Carbon-12: \(\left(_{6}^{12} C\right)\).

Step-by-step solution

Identify the element

Find the element's symbol in the periodic table using the atomic number (\(Z\)) given in the exercise. The atomic number is the number of protons, which determines the element's identity.

Determine the mass number

Use the mass number given in the exercise (\(A\)), which is the sum of protons and neutrons in the atomic nucleus.

Write the symbol using the \(\left(_{Z}^{A} X\right)\) format

Use the atomic number, mass number, and element symbol to write the symbol of the atom using the given format, i.e., \(\left(_{Z}^{A} X\right)\). For example, in the case of Carbon-12 (12 is the mass number of the isotope), the break down would look like this:

Identify the element

In this case, Carbon is the element with an atomic number of 6.

Determine the mass number

The mass number is given as 12.

Write the symbol using the \(\left(_{Z}^{A} X\right)\) format

Insert the atomic number, mass number, and element symbol to obtain the symbol for Carbon-12: \(\left(_{6}^{12} C\right)\).

Key concepts

Atomic Number

The atomic number, represented as (\( Z \)), is a fundamental characteristic of an element. It indicates the number of protons found in the nucleus of an atom. The atomic number uniquely identifies a chemical element since no two different elements can have the same number of protons. Understanding this number is key to placing an element in the periodic table, as it determines the overall identity of the element.

• Every atom of a given element will have the same atomic number.
• For example, all atoms of carbon have an atomic number of 6, meaning they each have 6 protons.

Alongside identifying the element, the atomic number is also crucial in many chemical reactions. It affects the way an element behaves chemically, since the atomic number directly relates to the electrons that surround the nucleus, which are active in forming chemical bonds. Remember, the atomic number is always a whole number, and you can find it above the element symbol in the periodic table.

Mass Number

The mass number, represented as (\( A \)), is another essential feature of an atom. Unlike the atomic number, the mass number is not found directly on the periodic table. Instead, it needs to be calculated or provided in exercises. The mass number is the sum of protons and neutrons present in the atomic nucleus.

• Mass Number Formula: \[ A = Z + N \] where \( N \) is the number of neutrons.
• For example, if a carbon atom has 6 protons and 6 neutrons, its mass number would be 12.

In isotope notation, the mass number is crucial since isotopes are variations of elements with the same atomic number but different mass numbers. This results from having different numbers of neutrons. Understanding the mass number helps in determining the specific isotope of an element, and like the atomic number, it's crucial for categorizing atoms when dealing with nuclear chemistry and physics applications.

Periodic Table

The periodic table is an organized chart of all known chemical elements. It is structured in a way that displays recurring properties of elements. When you look at the table, each element is placed according to its atomic number, not its mass number.

• The horizontal rows are called periods, which indicate increasing atomic numbers.
• The vertical columns are known as groups or families, where elements have similar chemical properties.

This arrangement showcases elements in order of increasing atomic number from left to right within periods and top to bottom within groups. The periodic table is a vital tool in chemistry because it helps in predicting chemical behaviors and reactions by simply observing an element's position. Additionally, the periodic table provides essential information about an element, such as its symbol, atomic number, and general type (whether it is a metal, nonmetal, or metalloid). Therefore, mastering the layout and details of the periodic table can greatly enhance one's ability to understand and use chemical elements effectively.