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:

Count particles and volumes

Determine the number of solute particles and the volume for each beaker:

• Beaker A: \(8\) particles in \(50\text{ mL}\)
• Beaker B: \(12\) particles in \(50\text{ mL}\)
• Beaker C: \(4\) particles in \(50\text{ mL}\)
• Beaker D: \(4\) particles in \(50\text{ mL}\)
• Beaker E: \(3\) particles in \(25\text{ mL}\)
• Beaker F: \(4\) particles in \(25\text{ mL}\)

Calculate relative molarity

Molarity is proportional to the ratio of particles to volume:

• Solution A: \(\frac{8}{50} = 0.16\text{ particles/mL}\)
• Solution B: \(\frac{12}{50} = 0.24\text{ particles/mL}\)
• Solution C: \(\frac{4}{50} = 0.08\text{ particles/mL}\)
• Solution D: \(\frac{4}{50} = 0.08\text{ particles/mL}\)
• Solution E: \(\frac{3}{25} = 0.12\text{ particles/mL}\)
• Solution F: \(\frac{4}{25} = 0.16\text{ particles/mL}\)

Identify highest molarity

Compare the calculated concentration ratios:

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

Identify equal molarities

Compare the calculated concentration ratios to find matches:

• Solutions A and F both have a ratio of \(0.16\text{ particles/mL}\).
• Solutions C and D both have a ratio of \(0.08\text{ particles/mL}\).
• Therefore, Solutions A and F have the same molarity.

Answer:

Question 1

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

Question 2

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