How many moles in 44.68 mL of liquid mercury (Hg)? Answer to 3 decimal places.

𝜌
(Hg) = 13.534 g.mL-1

MW(Hg) = 200.59 g.mol-1

Question

How many moles in 44.68 mL of liquid mercury (Hg)? Answer to 3 decimal places.

𝜌
(Hg) = 13.534 g.mL-1

MW(Hg) = 200.59 g.mol-1

BlackTom AI · Accepted Answer

Density relates mass and volume: mass = density × volume. Use this with molar mass to convert mass to moles.

1) Relevant knowledge points and concepts
- Density (ρ) gives mass per unit volume (g·mL⁻¹). Multiply density by volume to get mass in grams.
- Moles = mass (g) / molar mass (g·mol⁻¹).
- Keep units consistent (mL with g·mL⁻¹, g with g·mol⁻¹).

2) Complete reasoning process (step by step)
- Start with given values:
  - Volume V = 44.68 mL
  - Density ρ(Hg) = 13.534 g·mL⁻¹
  - Molar mass MW(Hg) = 200.59 g·mol⁻¹
- Compute mass of mercury using mass = ρ × V.
- Compute moles using n = mass / MW.

3) Calculations with intermediate steps
- mass = 13.534 g·mL⁻¹ × 44.68 mL
  = (13.534 × 44.68) g
  = 604.69912 g (intermediate result, keeping extra digits)
- moles n = mass / MW = 604.69912 g / 200.59 g·mol⁻¹
  = 3.014597... mol
- Round to 3 decimal places as requested: n = 3.015 mol

4) Why the correct answer is correct
- The procedure directly applies the definitions of density and molar mass. Multiplying density by the measured volume yields the correct mass in grams; dividing that mass by mercury’s molar mass yields the number of moles. Arithmetic and unit cancellation are consistent throughout, producing 3.015 mol when rounded to three decimal places.

5) Why other answers would be incorrect
- Any different numerical answer would result from arithmetic errors, incorrect unit conversion, or premature/incorrect rounding. There are no multiple-choice alternatives here; the only correct numerical result to three decimals is 3.015.

6) Conclusion
- Final answer (to three decimal places): 3.015 mol, which matches the provided answer.

How many moles in 44.68 mL of liquid mercury (Hg)? Answer to 3 decimal places. 𝜌 (Hg) = 13.534 g.mL-1 MW(Hg) = 200.59 g.mol-1简答题

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