Math Problem Statement

A chemistry student needs 40.0 g of acetyl bromide for an experiment. She has available 220.0 g of a 10.1% w/w solution of acetyl bromide in chloroform. Calculate the mass of solution the student should use. If there is not enough solution, press the 'No solution' button.

Solution

The problem asks to calculate the mass of the solution the student should use, given:

  • The student needs 40.0 g of acetyl bromide.
  • A solution is available with a 10.1% w/w (weight/weight) concentration of acetyl bromide in chloroform.
  • The total available solution is 220.0 g.

To solve this:

  1. The concentration means that 10.1 g of acetyl bromide is present in every 100 g of solution.

The formula for calculating the mass of solution needed is:

mass of solution=desired mass of solutemass fraction of solute in solution\text{mass of solution} = \frac{\text{desired mass of solute}}{\text{mass fraction of solute in solution}}

Where:

  • The desired mass of solute (acetyl bromide) = 40.0 g.
  • The mass fraction of solute = 10.1% = 0.101.

mass of solution=40.0g0.101=396.04g\text{mass of solution} = \frac{40.0 \, \text{g}}{0.101} = 396.04 \, \text{g}

However, only 220.0 g of solution is available, which is not enough to get the required 40.0 g of acetyl bromide.

Thus, the answer is "No solution".

Would you like further details or have any other questions?

Here are 5 related questions to expand on this topic:

  1. What does w/w (weight/weight) percentage mean in chemistry?
  2. How do you calculate the mass of a solution when given a solute concentration?
  3. What is the significance of using significant digits in chemical calculations?
  4. How can concentration percentages affect experimental outcomes in chemistry?
  5. How do you dilute a solution if more solute is needed but less solution is available?

Tip: Always verify the available amount of solution before performing calculations, as it may limit your ability to meet experimental requirements.

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Math Problem Analysis

Mathematical Concepts

Percentage Concentration
Mass Calculation
Significant Figures

Formulas

mass of solution = desired mass of solute / mass fraction of solute in solution

Theorems

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Suitable Grade Level

Grades 10-12