Please express the concentration term "1 in 2500" of a solution as a percentage. Assume we are referring to a solid dissolved in a liquid.

Question

BlackTom AI · Accepted Answer

1) Relevant knowledge points and concepts
- "1 in 2500" means one part of solute per 2500 parts of solution; as a fraction this is 1/2500.
- To express a fraction as a percentage, multiply by 100.
- For a solid dissolved in a liquid, percentage concentrations are commonly given as % w/v (weight per volume): % w/v means grams of solute per 100 mL of solution.

2) Step-by-step reasoning and calculations
- Start with the fraction: 1 in 2500 = 1/2500.
- Compute the decimal: 1 ÷ 2500 = 0.0004.
- Convert to percent: 0.0004 × 100 = 0.04%.
- Since the problem refers to a solid in a liquid, express this as % w/v: 0.04% w/v.

3) Intermediate calculation details
- 1/2500 = 0.0004 (move the decimal 4 places since 2500 = 2.5×10^3).
- 0.0004 × 100 = 0.04%.
- Interpreting 0.04% w/v: 0.04 g solute per 100 mL solution.
- Equivalently per liter: 0.04 g/100 mL × 10 = 0.4 g per 1000 mL (1 L).
- Check against original ratio: 1 g in 2500 mL = 1/2.5 L = 0.4 g/L, which matches 0.4 g/L derived from 0.04% w/v. Thus consistent.

4) Why the correct answer is correct
- The numerical conversion shows 1 in 2500 corresponds exactly to 0.04%, and because we are dealing with a solid dissolved in a liquid the appropriate unit label is % w/v. Therefore "0.04 % w/v" is the correct representation.

5) Why the other options are incorrect
- a. 4 % w/v is 1/25 (100 times too large).
- b. 0.4 % w/v is 1/250 (10 times too large).
- d. 0.04 % w/w uses the wrong unit (weight/weight) rather than weight/volume; although numerically the percent is the same, the question specifies a solid in a liquid so w/v is the conventional label.
- e. 0.0004 % v/v is both numerically incorrect (it is 100 times smaller than 0.04%) and uses volume/volume, inappropriate for a solid-in-liquid concentration.

6) Conclusion
The correct answer is c. 0.04 % w/v, which matches the provided answer.

Please express the concentration term "1 in 2500" of a solution as a percentage. Assume we are referring to a solid dissolved in a liquid.单项选择题

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