The structure of the [BF\(_4\)]\(^{-}\) ion is as follows:
Covalency of Boron: The covalency of boron is the number of covalent bonds it forms. In the [BF\(_4\)]\(^{-}\) ion, boron is surrounded by four fluorine atoms, forming four covalent bonds. Thus, the covalency of boron is \( 4 \).
Oxidation State of Boron: The oxidation state of boron can be calculated as follows: - Each fluorine atom has an oxidation state of \(-1\). - Let the oxidation state of boron be \( x \). The total charge on the [BF\(_4\)]\(^{-}\) ion is \(-1\), so: \[ x + 4(-1) = -1. \] Simplify: \[ x - 4 = -1 \implies x = +3. \] Thus, the oxidation state of boron is \( +3 \). ### Final Answer: The covalency and oxidation state of boron are \( 4 \) and \( +3 \), respectively.
Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: