The question asks us to identify the strongest oxidizing agent among the given ions. To determine this, we need to understand the concept of oxidizing agents.
An oxidizing agent is a substance that has the ability to oxidize other substances, i.e., it gains electrons and is reduced itself. The strength of an oxidizing agent is typically determined by its tendency to accept electrons.
Let's evaluate each option:
The ion \({Tb}^{4+}\) is the strongest oxidizing agent among the given options. This is because it tends to effectively accept an electron owing to the stability associated with the conversion from +4 to +3 oxidation state.
In conclusion, the correct answer is \({Tb}^{4+}\).
Given: The strength of an oxidizing agent depends on its ability to accept electrons. A higher positive charge and smaller size typically make an ion a stronger oxidizing agent because the ion is more eager to accept electrons to achieve a stable electronic configuration.
- This is the 3+ cation of lanthanum (atomic number 71). - Although it is a highly charged ion, it is relatively large compared to other lanthanides. - **Conclusion**: It is a strong oxidizing agent but not as strong as other ions with higher charges and smaller sizes.
- This is the 2+ cation of europium (atomic number 63). - The Eu\(^{2+}\) ion is in the +2 oxidation state and is a stronger reducing agent compared to its +3 oxidation state. - **Conclusion**: Eu\(^{2+}\) is a reducing agent and not an oxidizing agent.
- This is the 4+ cation of terbium (atomic number 65). - The Tb\(^{4+}\) ion is highly charged and has a very high tendency to accept electrons, making it a very strong oxidizing agent. - **Conclusion**: The Tb\(^{4+}\) ion is the strongest oxidizing agent among the ions listed.
- This is the 3+ cation of cerium (atomic number 58). - The Ce\(^{3+}\) ion is a strong oxidizing agent but not as strong as Tb\(^{4+}\). - **Conclusion**: While a strong oxidizing agent, it is weaker compared to Tb\(^{4+}\).
The strongest oxidizing agent among the given ions is \( \boxed{\text{Tb}^{4+}} \), which is the most eager to accept electrons due to its high charge and smaller size compared to the other ions.


For a statistical data \( x_1, x_2, \dots, x_{10} \) of 10 values, a student obtained the mean as 5.5 and \[ \sum_{i=1}^{10} x_i^2 = 371. \] He later found that he had noted two values in the data incorrectly as 4 and 5, instead of the correct values 6 and 8, respectively.
The variance of the corrected data is: