Final answer:
The mass of solute (KBr) in 200.0 L of a 1.556-M solution is calculated to be 37.0328 kg, which indicates that an error exists as none of the provided options match the calculated mass.
Step-by-step explanation:
How to Calculate the Mass of Solute in a Solution
To find the mass of solute in 200.0 L of a 1.556-M solution of KBr, the following steps need to be taken:
Use the molarity of the solution, which is the number of moles of solute per liter of solution, to find the total number of moles of solute in the given volume.
Calculate the number of moles of KBr by multiplying the molarity (1.556 M) by the volume of the solution in liters (200.0 L).
Convert the number of moles of KBr to mass by using the molar mass of KBr which is 119.00g/mol.
To answer the question:
Number of moles of KBr = 1.556 mol/L * 200.0 L = 311.2 moles
Mass of KBr = 311.2 moles * 119.00 g/mol = 37032.8 g or 37.0328 kg (we need to check for typos in the options provided because the correct mass does not match any of the given options)
Therefore, the mass of solute in 200.0 L of a 1.556-M solution of KBr is 37.0328 kg, which identifies a mistake as none of the provided options (a-d) are correct.