Math Problem Statement

Question 1 (1 point)

500 ml of a 0.55% solution of potassium metabisulfite must be prepared. How many grams of potassium metabisulfite should be used?

Solution

To determine how many grams of potassium metabisulfite should be used, we can apply the formula for concentration:

Concentration(%)=Mass of soluteVolume of solution×100\text{Concentration} (\%) = \frac{\text{Mass of solute}}{\text{Volume of solution}} \times 100

Here:

  • The concentration is 0.55%0.55\%.
  • The volume of solution is 500ml500 \, \text{ml}.
  • The mass of solute (potassium metabisulfite) is unknown.

Rearranging the formula to solve for mass of solute:

Mass of solute=Concentration×Volume100\text{Mass of solute} = \frac{\text{Concentration} \times \text{Volume}}{100}

Substitute the values:

Mass of solute=0.55×500100=275100=2.75grams\text{Mass of solute} = \frac{0.55 \times 500}{100} = \frac{275}{100} = 2.75 \, \text{grams}

So, 2.75 grams of potassium metabisulfite should be used.


Would you like a more detailed explanation? Let me know if you need any further clarifications!

Here are some related questions you might find interesting:

  1. How would you prepare a 1% solution of potassium metabisulfite with the same volume?
  2. What is the significance of the percentage concentration in solution preparation?
  3. How would you calculate the molar mass of potassium metabisulfite?
  4. If the solution was prepared with a different solvent, would the calculation change? Why or why not?
  5. How could the preparation of a 0.5% solution of potassium metabisulfite differ from a 0.55% solution?

Tip: Always make sure to double-check the unit conversions (e.g., from mL to L or grams to mg) if they are involved in your calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Concentration
Solute Calculation
Percentage Calculations

Formulas

Concentration (%) = (Mass of solute / Volume of solution) * 100
Mass of solute = (Concentration * Volume) / 100

Theorems

Solution preparation theorem

Suitable Grade Level

Grades 9-11