Question

the diagram below is a model of two solutions. each purple ball represents one particle of solute. solvent volume: 40 ml solvent volume: 30 ml solution a solution b which solution has a higher concentration of purple particles? solution a solution b neither; their concentrations are the same

Explanation:

Step1: Count the number of solute particles

Solution A has 8 solute particles, Solution B has 2 solute particles.

Step2: Calculate the concentration formula

Concentration \(C=\frac{n}{V}\) (where \(n\) is the number of solute particles, \(V\) is the volume of solvent).
For Solution A: \(C_A=\frac{8}{40}=\frac{1}{5}\) particles per mL.
For Solution B: \(C_B=\frac{2}{30}=\frac{1}{15}\) particles per mL.

Step3: Compare the concentrations

Since \(\frac{1}{5}>\frac{1}{15}\) (because when comparing fractions with the same numerator, the fraction with the smaller denominator is larger).

Answer:

Solution A