Question

the diagram below is a model of two solutions. each blue ball represents one particle of solute. which solution has a higher concentration of blue particles? solution a solution b neither; their concentrations are the same

Explanation:

Step1: Calculate concentration formula

Concentration \(C=\frac{\text{Number of solute particles}}{\text{Volume of solvent}}\).

Step2: Calculate concentration for Solution A

Solution A has 6 solute particles and solvent volume \(V_A = 30\space mL\). So \(C_A=\frac{6}{30}=\frac{1}{5}\space particles/mL\).

Step3: Calculate concentration for Solution B

Solution B has 6 solute particles and solvent volume \(V_B = 40\space mL\). So \(C_B=\frac{6}{40}=\frac{3}{20}\space particles/mL\).

Step4: Compare concentrations

\(\frac{1}{5}=\frac{4}{20}\) and \(\frac{4}{20}>\frac{3}{20}\) (since \(4 > 3\) when denominators are the same). So \(C_A>C_B\).

Answer:

Solution A