What mass (g) of Acetic Acid is present in 100mL of Acetic Acid (33%w/w) BP? Note: Density of Acetic Acid BP = 1.04g/mL

Question

BlackTom AI · Accepted Answer

Density relates mass and volume: mass = density × volume. A w/w percentage gives mass of solute per 100 g of solution (33% w/w = 33 g acetic acid per 100 g solution). Use these facts to find the mass of acetic acid in 100 mL of the BP solution.

1) Relevant knowledge points and concepts
- Density (ρ) = mass / volume → mass = ρ × volume.
- Percent w/w means grams of solute per 100 g of solution; therefore mass of solute = (% w/w / 100) × mass of solution.

2) Step-by-step reasoning and calculations
- Given: density = 1.04 g/mL, volume = 100 mL.
- Compute mass of the solution:
  mass_solution = density × volume = 1.04 g/mL × 100 mL = 104 g.
- Given 33% w/w acetic acid means 33 g acid per 100 g solution.
- Compute mass of acetic acid in 104 g solution:
  mass_acid = (33 / 100) × 104 g = 0.33 × 104 g.
- Intermediate arithmetic:
  0.33 × 104 = 34.32 g.

3) Rounding
- Round to an appropriate number of significant figures (one decimal as in choices): 34.32 g → 34.3 g.

4) Why this answer is correct
- The calculation directly applies density to get the total solution mass, then uses the w/w percentage to get the fraction of that mass attributable to acetic acid. Both steps follow standard definitions, so 34.3 g is the correct mass of acetic acid in 100 mL of 33% w/w solution with density 1.04 g/mL.

5) Why other options are incorrect (brief)
- a. 730.4 g and b. 315.2 g are far too large compared to the total solution mass (104 g); they imply unrealistic densities or percentages.
- c. 104.5 g is close to the solution mass but not the solute mass (it’s essentially the total mass, not 33% of it).
- d. 209.0 g is about twice the solution mass, so also impossible.

6) Conclusion
- The correct answer is 34.3 g, which matches the provided answer (e. 34.3 g).

What mass (g) of Acetic Acid is present in 100mL of Acetic Acid (33%w/w) BP? Note: Density of Acetic Acid BP = 1.04g/mL单项选择题

类似问题

A saturated solution of a drug contains 120 g of the drug in a total volume of 100 mL. The density of this solution is approximately 1.5 g per mL. Express the concentration of the solution in terms of the % w/w.

You own a bond that pays $64 in interest annually. The face value is $1,000 and the current market price is $1,021.61. The bond matures in 11 years. What is the yield to maturity?

Which of the following statements is CORRECT?

It will cost $9,600 to acquire an ice cream cart that is expected to produce cash inflows of $3,600 a year for three years. After the three years, the cart is expected to be worthless. What is the payback period?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单