What weight of a 5% solution can be prepared from 2g of active ingredient?

To find the weight of a 5% solution that can be prepared from 2 g of active ingredient, we can set up the following equation based on the definition of a 5% solution:

A 5% solution means that 5 grams of active ingredient is present in 100 grams of solution. Thus, we can use a proportion to find the total weight of the solution \( W \) that can be prepared from 2 g of active ingredient.

\[
\frac{5}{100} = \frac{2}{W}
\]

Now, solve for \( W \):

\[
W = \frac{2 \times 100}{5} = 40 \, \text{grams}
\]

So, 40 grams of a 5% solution can be prepared from 2 grams of active ingredient.

Would you like further details on this or have any other questions?

Here are 5 related questions to explore further:
1. How would you calculate the weight of a 10% solution with 2 g of active ingredient?
2. How would the total solution weight change if the concentration is reduced to 2%?
3. What if you wanted to prepare 100 grams of solution with 2 g of active ingredient—what would the percentage concentration be?
4. How would you calculate the weight of solution if you had 3 g of active ingredient in a 5% solution?
5. What is the formula for converting between different solution concentrations?

**Tip:** To easily calculate solution concentrations, always remember that the percentage tells you how much active ingredient is in 100 grams of solution.

Find out how to calculate the weight of a 5% solution when given 2g of active ingredient. This step-by-step guide explores proportion and percentage concentration concepts, using a simple formula to determine that 40 grams of solution can be prepared. Suitable for Grades 8-10.

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