Question

six different aqueous solutions are represented in the beakers below, and their total volumes and number of particles are noted. the solvent molecules are omitted for clarity.

part 1 of 5
which solution has the highest molarity? select the single best answer.

• solution a
• solution f
• solution e
• solution b

part 2 of 5
which solutions have the same molarity? check all that apply.

• solutions a and f
• solutions c, d, and e
• solutions a and e
• solutions b, c, and f
• none of the above

Explanation:

Calculate molarity of each solution

Using the Molarity, Solution Concentration, and Particulate Diagrams knowledge points:

• Solution A: Volume \(V = 50\text{ mL}\), solute particles \(N = 8\).

$$M_A \propto \frac{8}{50} = 0.16\text{ particles/mL}$$

• Solution B: Volume \(V = 50\text{ mL}\), solute particles \(N = 12\).

$$M_B \propto \frac{12}{50} = 0.24\text{ particles/mL}$$

• Solution C: Volume \(V = 50\text{ mL}\), solute particles \(N = 4\).

$$M_C \propto \frac{4}{50} = 0.08\text{ particles/mL}$$

• Solution D: Volume \(V = 50\text{ mL}\), solute particles \(N = 4\).

$$M_D \propto \frac{4}{50} = 0.08\text{ particles/mL}$$

• Solution E: Volume \(V = 25\text{ mL}\), solute particles \(N = 4\).

$$M_E \propto \frac{4}{25} = 0.16\text{ particles/mL}$$

• Solution F: Volume \(V = 25\text{ mL}\), solute particles \(N = 4\).

$$M_F \propto \frac{4}{25} = 0.16\text{ particles/mL}$$

Determine the highest molarity

Comparing the calculated concentration values:

• Solution B has the highest concentration value of \(0.24\text{ particles/mL}\).

Identify solutions with the same molarity

Comparing the calculated concentration values for matches:

• Solutions A, E, and F all have a concentration value of \(0.16\text{ particles/mL}\).
• Solutions C and D both have a concentration value of \(0.08\text{ particles/mL}\).
• Looking at the options for Part 2:
• "Solutions A and F" (A is \(0.16\), F is \(0.16\)) - Same molarity.
• "Solutions C, D, and E" (C and D are \(0.08\), E is \(0.16\)) - Different.
• "Solutions A and E" (A is \(0.16\), E is \(0.16\)) - Same molarity.
• "Solutions B, C, and F" (B is \(0.24\), C is \(0.08\), F is \(0.16\)) - Different.
• "None of the above" - Incorrect because "Solutions A and F" as well as "Solutions A and E" are valid pairs, but we must check the exact options provided. The option "Solutions A and E" is listed. Let's check if there is a combined option. The options are:
• "Solutions A and F"
• "Solutions C, D, and E"
• "Solutions A and E"
• "Solutions B, C, and F"
• "None of the above"

Since both A, E, and F have the same molarity, any pair among them (A and E, A and F, E and F) has the same molarity. Among the choices, "Solutions A and E" is a correct choice.

Answer:

Question 1

• Solution A
• Solution B (Correct answer)
• Solution E
• Solution F

Question 2

• Solutions A and F
• Solutions C, D, and E
• Solutions A and E (Correct answer)
• Solutions B, C, and F
• None of the above