Describe how you would prepare \(465 \mathrm{~mL}\) of \(0.3550 \mathrm{M}\) potassium dichromate solution starting with (a) solid potassium dichromate. (b) \(0.750 M\) potassium dichromate solution.

Short Answer

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= 0.165025 moles Now that we have the number of moles of potassium dichromate needed, we can determine the mass of the solid potassium dichromate required. #tag_title# (a) Calculate the mass of solid potassium dichromate)#tag_content# To calculate the mass of solid potassium dichromate, we'll use the formula: mass = moles * molar mass The molar mass of potassium dichromate (K2Cr2O7) is approximately 294.18 g/mol. Therefore, the mass of solid potassium dichromate needed is: mass = 0.165025 moles * 294.18 g/mol = 48.531 g #tag_title# (b) Calculate the volume of the 0.750 M potassium dichromate solution)#tag_content# To determine the volume of the 0.750 M potassium dichromate solution needed, we'll use the dilution formula: M1 * V1 = M2 * V2 Where M1 and V1 are the molarity and volume of the initial solution (0.750 M), and M2 and V2 are the molarity and volume of the final solution (0.3550 M and 0.465 L). We want to find V1. V1 = (M2 * V2) / M1 V1 = (0.3550 * 0.465) / 0.750 = 0.219382 L Therefore, we need 0.219382 L or 219.382 mL of the 0.750 M potassium dichromate solution. #Answer Format# (a) To prepare 465 mL of 0.3550 M potassium dichromate solution using solid potassium dichromate, 48.531 g of solid potassium dichromate is needed. (b) To prepare 465 mL of 0.3550 M potassium dichromate solution using a 0.750 M potassium dichromate solution, 219.382 mL of the 0.750 M solution is required.

Step by step solution

01

(a) Determine the number of moles needed)

To determine how much solid potassium dichromate we need, we'll first need to find the number of moles needed in the 465 mL solution at 0.3550 M concentration. To do so, we'll use the equation: M = moles of solute / volume of solution (in liters) Rearranging this formula for moles of solute: moles of solute = M * volume of solution (in liters) We're given M = 0.3550 M and volume = 465 mL (which is 0.465 L). moles of solute = 0.3550 * 0.465

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