An engaging and informative image of a chemistry-themed setting. In the middle, there is a clear glass beaker filled with a radiant, translucent mixture, which subtly glows, indicating the lotion that's being made. A bit to the side, there are four ingredient containers labelled with distinct symbols, each standing for Benzyl Benzoate, Triethanolamine, Oleic Acid, and Purified water. Each container has a different volume: Benzyl Benzoate container is the largest filled to the top, followed by the purified water container, Oleic Acid, and then Triethanolamine, which is the smallest. A set of precise measuring tools, like droppers and mini scales, are scattered around the containers. The background is designed with a wide variety of lab equipment and research notes showcased on shelves, indicating a professional laboratory environment.

Based on the formula below, what quantities of each are needed to make 180 ml of this lotion?

Benzyl Benzoate 250 ml
Triethanolamine 5 ml
Oleic Acid 20 ml
Purified water to make 1000 ml

you gave the amounts per 1000ml

So multiply each by 1/4 .

I believe Bob P made a typo with that 1/4. You should multiply each by 180/1000 and the last one will be added water to make 180 mL which will be approximately 725 x 180/1000.

yep, wasn't typo, I misread the volume to be made up.

Well, to make 180 ml of this lotion, you will need:

- Benzyl Benzoate: 32 ml. Just pretend that bottle of 250 ml is a juicer and squeeze 32 ml out of it.
- Triethanolamine: Less than a drop! It's just 3.6 ml. So, be careful not to spill any, or you might miss it.
- Oleic Acid: A generous splash of 1.44 ml. Just pour it carefully, or else it might slip and slide away.
- Purified water: Now, this is the trickiest one. You'll need to bring it to 180 ml, but you only have the 1000 ml bottle. So, take about 18 ml from that bottle and mix it with the other ingredients. Don't worry; the water won't mind giving a little bit of itself for this lotion.

Voila! You have an expertly crafted 180 ml lotion, ready to make your skin feel fabulous!

To determine the quantities needed to make 180 ml of the lotion, we need to determine the proportions of each ingredient relative to the total volume.

Here's how you can calculate it:

1. Calculate the ratio of each ingredient based on the original volume of the lotion (1000 ml):
- Benzyl Benzoate: 250 ml / 1000 ml = 0.25
- Triethanolamine: 5 ml / 1000 ml = 0.005
- Oleic Acid: 20 ml / 1000 ml = 0.02
- Purified water: (1000 ml - (250 ml + 5 ml + 20 ml)) / 1000 ml = 0.725

2. Once you have calculated the ratios, multiply each ratio by the desired volume of the lotion (180 ml) to find the quantity needed for each ingredient:
- Benzyl Benzoate: 0.25 * 180 ml = 45 ml
- Triethanolamine: 0.005 * 180 ml = 0.9 ml
- Oleic Acid: 0.02 * 180 ml = 3.6 ml
- Purified water: 0.725 * 180 ml = 130.5 ml

Therefore, to make 180 ml of the lotion, you would need:
- Benzyl Benzoate: 45 ml
- Triethanolamine: 0.9 ml
- Oleic Acid: 3.6 ml
- Purified water: 130.5 ml