answer:Using the formula for impedance in a series RLC circuit: Z=sqrt{X_R^2+left(X_L-X_Cright)^2} Substituting the given values: 2500=sqrt{(1500)^2+left(X_L-1000right)^2} Solving for X_L: X_L=sqrt{(2500)^2-(1500)^2+1000^2} X_L=2000 Omega Using the formula for inductive reactance: X_L=omega L Solving for L: L=frac{X_L}{omega} Assuming the frequency is not given, we cannot calculate the inductance L without additional information.

answer:Hypochlorous acid (HClO) dissociates in water according to the following equilibrium: {eq}rm{HClO(aq)+H_2O(l)leftrightarrow ClO^-(aq)+H_3O^+(aq) }{/eq} The equilibrium constant expression for this reaction is: {eq}rm{K_a=frac{left[ClO^-right]left[H_3O^+right]}{left[HClOright]} }{/eq} We can use the initial concentration of HClO and the {eq}K_a {/eq} value to calculate the equilibrium concentrations of {eq}rm{ClO^- }{/eq} and {eq}rm{H_3O^+ }{/eq}. Let {eq}x {/eq} be the equilibrium concentration of {eq}rm{H_3O^+ }{/eq}. Then, the equilibrium concentration of {eq}rm{ClO^- }{/eq} is also {eq}x {/eq} and the equilibrium concentration of HClO is {eq}0.0200-x {/eq}. Substituting these values into the {eq}K_a {/eq} expression, we get: {eq}rm{3.00times 10^{-8}=frac{x^2}{0.0200-x} }{/eq} Solving for {eq}x {/eq}, we get: {eq}rm{x=left[H_3O^+right]=2.4479902times 10^{-5}:M }{/eq} Finally, we can calculate the pH of the solution using the following equation: {eq}rm{pH=-log[H_3O^+] }{/eq} Substituting the value of {eq}rm{left[H_3O^+right] }{/eq} that we calculated, we get: {eq}rm{pH=-log(2.4479902times 10^{-5}:M)=boxed{4.611} }{/eq} Therefore, the pH of a 0.0200 M HClO solution is 4.611.

answer:To find the volume (V) of the cone, we use the formula: ( V = frac{1}{3}pi R^2 h ), where ( R ) is the radius and ( h ) is the height. Given: ( R = 3 ) meters ( h = 7 ) meters Plugging the values into the formula: ( V = frac{1}{3} pi (3)^2 (7) ) ( V = frac{1}{3} times pi times 9 times 7 ) ( V = frac{1}{3} times 282.7433 ) ( V = 94.24777 ) cubic meters, approximately. The surface area of the cone is not required to find the volume. However, if needed, it can be calculated separately.

answer:To convert a decimal to a percentage, we need to multiply it by 100. Therefore, 0.86 × 100 = 86% 0.019 × 100 = 1.9% Hence, 0.86 is equal to 86%, and 0.019 is equal to 1.9%. The answer is 86% and 1.9%.