What is the mass in kilograms of 10 moles of Ibuprofen (an anti-inflammatory drug) ? (MW Ibuprofen = 206.3)

Question

BlackTom AI · Accepted Answer

Mass (m) = number of moles (n) × molar mass (M). Using this relation gives the mass in the units of the molar mass.

1) Relevant knowledge points and concepts
- The molar mass (MW) of a substance is given in grams per mole (g·mol⁻¹) unless otherwise stated.
- mass (g) = moles (mol) × molar mass (g·mol⁻¹).
- To report mass in kilograms, convert grams to kilograms using 1 kg = 1000 g.

2) Step-by-step reasoning
- Given: n = 10.0 mol, M = 206.3 g·mol⁻¹.
- Compute mass in grams first.

3) Calculations (showing intermediate steps)
- m (g) = 10.0 mol × 206.3 g·mol⁻¹ = 2063.0 g.
- Convert to kilograms: m (kg) = 2063.0 g × (1 kg / 1000 g) = 2.0630 kg.
- Round appropriately: 2.0630 kg → 2.06 kg (three significant figures; the next digit is 3 so round down).

4) Why the correct answer is correct
- The arithmetic and unit conversion are straightforward: multiplying moles by molar mass yields grams, and dividing by 1000 converts to kilograms. The result 2.063 kg rounded sensibly is 2.06 kg, matching option e.

5) Why the other options are incorrect
- a. 10.3 kg is about five times too large (would correspond to ~10,300 g or an effective MW ≈ 1030 g·mol⁻¹).
- b. 20.6 kg is ~ten times too large (would correspond to ~20,600 g).
- c. 1.03 kg is about half the correct value (would correspond to ~1030 g, i.e., a factor-of-two decimal error).
- d. 4.12 kg is roughly double the correct value (≈4120 g), likely a misplaced decimal or factor-of-two error.
All of these result from incorrect decimal placement or incorrect unit conversion; they do not follow from 10 mol × 206.3 g·mol⁻¹.

6) Conclusion
The calculated mass is 2.063 kg, rounded to 2.06 kg, which confirms the provided correct answer: e. 2.06 kg.

What is the mass in kilograms of 10 moles of Ibuprofen (an anti-inflammatory drug) ? (MW Ibuprofen = 206.3)单项选择题

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