Math

QuestionSelect true statements about ions: Anions are positively charged; Fe2+\mathrm{Fe}^{2+} and Fe3+\mathrm{Fe}^{3+} have same protons; Cl\mathrm{Cl}^{-} and Br\mathrm{Br}^{-} have same electrons; Cu+\mathrm{Cu}^{+} and Cu2+\mathrm{Cu}^{2+} have same electrons; K+\mathrm{K}^{+} forms from potassium losing one electron; gaining an electron makes a cation.

Studdy Solution

STEP 1

Assumptions1. Anions are ions with a negative charge. . Cations are ions with a positive charge.
3. The charge of an ion is determined by the difference between the number of protons (positive charge) and electrons (negative charge) it has.
4. The atomic number of an element (which is the same as the number of protons in its nucleus) does not change during ion formation.
5. When an atom loses an electron, it forms a cation.
6. When an atom gains an electron, it forms an anion.

STEP 2

Evaluate the first statement "Anions carry a positive charge."
According to our assumptions, anions are ions with a negative charge, not a positive charge. Therefore, this statement is false.

STEP 3

Evaluate the second statement "The Fe2+\mathrm{Fe}^{2+} and Fe3+\mathrm{Fe}^{3+} ions have the same number of protons."
According to our assumptions, the atomic number of an element (which is the same as the number of protons in its nucleus) does not change during ion formation. Therefore, Fe2+\mathrm{Fe}^{2+} and Fe3+\mathrm{Fe}^{3+}, both being ions of iron (Fe), have the same number of protons. This statement is true.

STEP 4

Evaluate the third statement "The Cl\mathrm{Cl}^{-} and Br\mathrm{Br}^{-} ions have the same number of electrons."
The Cl\mathrm{Cl}^{-} ion is formed when a chlorine atom gains one electron, and the Br\mathrm{Br}^{-} ion is formed when a bromine atom gains one electron. However, chlorine and bromine have different atomic numbers, so they do not have the same number of electrons before or after gaining an electron. Therefore, this statement is false.

STEP 5

Evaluate the fourth statement "The Cu+\mathrm{Cu}^{+} and Cu2+\mathrm{Cu}^{2+} ions have the same number of electrons."
The Cu+\mathrm{Cu}^{+} ion is formed when a copper atom loses one electron, and the Cu2+\mathrm{Cu}^{2+} ion is formed when a copper atom loses two electrons. Therefore, these two ions do not have the same number of electrons. This statement is false.

STEP 6

Evaluate the fifth statement "The K+\mathrm{K}^{+} ion is formed when a potassium atom loses one electron."
According to our assumptions, when an atom loses an electron, it forms a cation. The K+\mathrm{K}^{+} ion is indeed a cation formed when a potassium atom loses one electron. Therefore, this statement is true.

STEP 7

Evaluate the sixth statement "When an atom gains an electron, it becomes a cation."
According to our assumptions, when an atom gains an electron, it forms an anion, not a cation. Therefore, this statement is false.
The true statements are- The Fe2+\mathrm{Fe}^{2+} and Fe3+\mathrm{Fe}^{3+} ions have the same number of protons. - The K+\mathrm{K}^{+} ion is formed when a potassium atom loses one electron.

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