Answer and Explanation:
To determine the molarity of the resulting solution when 14.09 g of KCl are dissolved in 45.81 mL of solution, we need to calculate the number of moles of KCl and then use that to find the molarity.
First, calculate the number of moles of KCl using its molar mass:
Molar mass of KCl = 39.10 g/mol (atomic mass of potassium, K) + 35.45 g/mol (atomic mass of chlorine, Cl)
Molar mass of KCl = 74.55 g/mol
Number of moles of KCl = mass of KCl / molar mass of KCl
Number of moles of KCl = 14.09 g / 74.55 g/mol
Number of moles of KCl = 0.1888 mol
Next, convert the volume of the solution from milliliters to liters:
Volume of solution = 45.81 mL = 45.81 mL * (1 L / 1000 mL)
Volume of solution = 0.04581 L
Now, calculate the molarity of the solution using the formula:
Molarity = number of moles of solute / volume of solution
Molarity = 0.1888 mol / 0.04581 L
Molarity = 4.12 mol/L
Therefore, the molarity of the resulting solution is 4.12 mol/L.