What formula represents percent strength by weight (mass)?

To determine the percent strength by weight (mass) of a solution, the correct formula is based on how the concentration of a solute is expressed in relation to the entire solution's total mass. The formula takes the mass of the solute (the substance being dissolved) and divides it by the total mass of the solution (which includes both the solute and the solvent) and then multiplies the result by 100 to convert it into a percentage.

In this scenario, the mass of solute is used within the formula, but it is specifically the total mass of the solution which includes the solute and any other parts that make up the solution that is essential for the calculation of percentage strength. This means that the option which states the relationship of mass of solute to total mass multiplied by 100 is fundamentally correct for calculating percent strength.

Understanding this concept is critical in fields like medicine, chemistry, and pharmaceuticals, where precise measurements of solutions are required to ensure safety and effectiveness in treatments and interactions.