Question

the diagram below is a model of two solutions. each blue ball represents one particle of solute. solvent volume: 45 ml solvent volume: 30 ml solution a solution b which solution has a higher concentration of blue particles? solution a solution b neither; their concentrations are the same

Explanation:

Step1: Calculate the concentration of Solution A

Concentration is calculated as the number of solute particles divided by the volume of solvent. For Solution A, assume the number of blue balls (solute particles) is \(n_A = 12\) and solvent volume \(V_A=45\space mL\). The concentration \(C_A=\frac{n_A}{V_A}=\frac{12}{45}=\frac{4}{15}\approx0.267\) (particles per mL).

Step2: Calculate the concentration of Solution B

For Solution B, assume the number of blue balls (solute particles) is \(n_B = 5\) and solvent volume \(V_B = 30\space mL\). The concentration \(C_B=\frac{n_B}{V_B}=\frac{5}{30}=\frac{1}{6}\approx0.167\) (particles per mL).

Answer:

Solution A