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).

The equivalent resistance between the points \(A\) and \(B\) in the given circuit is \[ \frac{x}{5}\,\Omega. \] Find the value of \(x\). 
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.