Title 12 Mixture Problem.pdf ✅

MSTC 12: Mixture Problems Mixtures are materials made up of different distinct substances. The majority of the mixture is called the solvent, and the substance mixed into the solvent is called the solute. The concentration of a solution is the ratio of the amount of solute to the whole solution. In symbols, amount of substance = concentration × volume A = cV A dilute solution is a mixture where the concentration of the solute is zero. The most common dilute is water since it is the universal solvent. It lessens the concentration of another solution. An alloy is a mixture of metals. The common approach in solving mixture problems is to equate the initial amount of each substance, often still individual, to their final amounts. For example, A liter of 50% alcohol solution is to be mixed with a 10% alcohol solution. How many liters of the 10% alcohol solution are needed to produce a solution with 35% alcohol? Let mixture A be the 50% concentration and mixture B be the 10% concentration. The volume of mixture A is 1 liter, and the volume of mixture B is unknown (let as x). For the amount of alcohol and water in mixture A, amount of alcohol = calcoholVsolution = 0.5(1) = 0.5 L amount of water = cwaterVsolution = (1 − 0.5)(1) = 0.5 L For the amount of alcohol and water in mixture B, amount of alcohol = calcoholVsolution = 0.1(x) = 0.1x amount of water = cwaterVsolution = (1 − 0.1)(x) = 0.9x After mixing A and B, their total volume will be 1 + x liters. For the amounts in the final mixture, amount of alcohol = calcoholVsolution = 0.35(1 + x) = 0.35 + 0.35x