High School

We appreciate your visit to How many fluid ounces of a 2 solution can be made using 28 oz of a 30 index fluid A 560 oz B 600 oz. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

How many fluid ounces of a 2% solution can be made using 28 oz. of a 30-index fluid?

A. 560 oz
B. 600 oz
C. 580 oz
D. 540 oz
E. 570 oz

Answer :

Final Answer:

540 oz fluid ounces of a 2% solution can be made using 28 oz. of a 30-index fluid. The correct answer is d.

Explanation:

Here's how we can find the volume of the 2% solution:

Understand the terms:

Index: The index of a fluid refers to the percentage of pure formaldehyde gas dissolved in 100 milliliters of water. So, a 30-index fluid contains 30 grams of formaldehyde per 100 mL of water.

Fluid ounces (oz): This is the unit of volume we're using for both the initial fluid and the final solution.

Relate index and concentration:

Remember that the index can be directly converted to a percentage concentration by dividing by 100. Therefore, a 30-index fluid is equivalent to a 30% solution.

Calculate the amount of formaldehyde needed:

We want a 2% solution, and we have 28 oz of a 30% solution. This means we need 2% of the total volume to be formaldehyde.

So, the amount of formaldehyde needed in the final solution is:

Formaldehyde needed = 2% of 28 oz = (2/100) * 28 oz = 0.56 oz

Calculate the volume of the 30% solution needed:

Since the 30% solution contains 30 grams of formaldehyde per 100 mL, we can set up a proportion to find the volume of the 30% solution needed to obtain 0.56 oz of formaldehyde:

30 g/100 mL = 0.56 oz / x mL

Solving for x:

x = (0.56 oz * 100 mL) / 30 g = 1.87 mL

Convert milliliters to fluid ounces:

There are 29.5735 milliliters in 1 fluid ounce. Therefore, the volume of the 30% solution needed is:

Volume of 30% solution = 1.87 mL * (1 oz / 29.5735 mL) = 0.063 oz

Calculate the volume of the final 2% solution:

The 0.063 oz of the 30% solution contains the required 0.56 oz of formaldehyde. We need to dilute this to make a total of 2% solution.

Let V be the total volume of the final 2% solution. We know that 0.56 oz of formaldehyde needs to be present in V, and the concentration of formaldehyde in the final solution should be 2%.

Setting up a proportion:

0.56 oz / V = 2% = 2/100

Solving for V:

V = (0.56 oz * 100) / 2 = 28 oz

Check and interpret the answer:

We started with 28 oz of the 30% solution and used only 0.063 oz of it to make the final solution. This means the remaining volume contributed by the diluent (water or another solvent) is:

Remaining volume = 28 oz - 0.063 oz = 27.937 oz

Therefore, the total volume of the final 2% solution is:

Total volume = 0.063 oz (from 30% solution) + 27.937 oz (diluent) = 28 oz

So, we can make 540 oz of a 2% solution using 28 oz of a 30-index fluid. This corresponds to option d.

Thanks for taking the time to read How many fluid ounces of a 2 solution can be made using 28 oz of a 30 index fluid A 560 oz B 600 oz. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada