If 15 litres of Methylated Spirits is found to contain 0.015 mL of Butanol, what is the concentration of Butanol expressed in parts per million ?单项选择题
A
a. 0.1 ppm
B
b. 1 ppm
C
c. 10 ppm
D
d. 100 ppm
E
e. 1000 ppm

Question

If 15 litres of Methylated Spirits is found to contain 0.015 mL of Butanol, what is the concentration of Butanol expressed in parts per million ?

BlackTom AI · Accepted Answer

Parts per million (ppm) is a ratio: 1 ppm = 1 part per 1,000,000 parts. For volume-based concentrations in dilute solutions, ppm = (volume of solute / total volume of solution) × 10^6.

1. Relevant knowledge points
- Convert all volumes to the same units (mL is convenient here).
- Use ppm formula: ppm = (solute volume / total volume) × 1,000,000.

2. Step-by-step reasoning and calculations
- Convert 15 litres to millilitres:
  15 L × 1000 mL/L = 15,000 mL (total volume).
- Given solute volume = 0.015 mL (butanol).
- Apply the ppm formula:
  ppm = (0.015 mL / 15,000 mL) × 1,000,000.
- Compute the fraction first:
  0.015 / 15,000 = 0.000001 (which is 1 × 10^-6).
- Multiply by 1,000,000:
  0.000001 × 1,000,000 = 1.

3. Intermediate steps shown
- 15 L = 15,000 mL
- Fraction = 0.015 / 15,000 = 1 × 10^-6
- ppm = (1 × 10^-6) × 10^6 = 1 ppm

4. Why this is correct
The calculation follows the definition of ppm (parts per 10^6). The ratio of 0.015 mL of solute in 15,000 mL of solution equals 1 × 10^-6, which when scaled to parts per million gives exactly 1 ppm.

5. Why other choices are incorrect (briefly)
- 0.1 ppm would correspond to 0.0015 mL in 15 L (ten times smaller than given).
- 10 ppm would correspond to 0.15 mL (ten times larger).
- 100 ppm → 1.5 mL; 1000 ppm → 15 mL. None of these match the given 0.015 mL.

6. Conclusion
The concentration of butanol is 1 ppm, so the correct choice is b. 1 ppm. This matches the provided answer.

If 15 litres of Methylated Spirits is found to contain 0.015 mL of Butanol, what is the concentration of Butanol expressed in parts per million ?单项选择题

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