To solve the problem, we need to use the formula:
mass of solute = (percent by mass / 100) x mass of solution
where the "mass of solute" is the mass of AgCl that we need to find, the "percent by mass" is the concentration of the solution (13.5%), and the "mass of solution" is the total mass of the solution (575 grams).
mass of solute = (13.5 / 100) x 575
mass of solute = 77.625 grams
Therefore, we need 77.625 grams of AgCl to make 575 grams of a 13.5% solution.