Determine the amount of potassium chloride in each of the following solutions: 22.2kg of a solution containing 17.2% KCl by mass.
To determine the amount of potassium chloride (KCl) in a given solution, we need to use the fact that the solution contains 17.2% KCl by mass. Here's how we can calculate it step by step:
Step 1: Calculate the mass of KCl in the solution.
To do this, we need to multiply the mass of the solution by the percentage of KCl in the solution.
Mass of KCl = Mass of solution * Percentage of KCl / 100
Given that the mass of the solution is 22.2 kg and the percentage of KCl is 17.2%, we can substitute the values:
Mass of KCl = 22.2 kg * 17.2 / 100
Step 2: Calculate the amount of KCl in the solution.
To convert the mass of KCl obtained in step 1 to the amount in moles, we need to divide the mass by the molar mass of KCl.
The molar mass of KCl is calculated by adding the atomic masses of potassium (K) and chlorine (Cl), which are 39.1 g/mol and 35.5 g/mol, respectively.
Molar mass of KCl = 39.1 g/mol + 35.5 g/mol = 74.6 g/mol
Converting grams to kilograms, we have:
Molar mass of KCl = 74.6 g/mol / 1000 = 0.0746 kg/mol
Amount of KCl = Mass of KCl / Molar mass of KCl
Now we can substitute the values:
Amount of KCl = (22.2 kg * 17.2 / 100) / 0.0746 kg/mol
After performing the calculation, we will get the amount of KCl in the given solution.
Please note that if you have specific numerical values, you can substitute them into the equation to get the final answer.