i am trying to find the minimum volume of hot water needed to dissolve 100 mg of salicylic acid.

when i did the calculations i got 100 ml of hot water is this correct??

Do you have any data, such as the solubility of S.A. in some volume other than 100 mL?

The data is

temp amount of salicylic acid
per 100 ml water, g
0 0.10
10 0.13
25 0.23
50 0.63
75 1.8
90 3.7

To find the minimum volume of hot water needed to dissolve 100 mg of salicylic acid, you'll need to consider the solubility of salicylic acid in hot water.

Solubility is the maximum amount of solute that can dissolve in a given amount of solvent at a specific temperature. It is usually expressed in grams of solute per 100 mL of solvent.

To determine the solubility of salicylic acid in hot water, you may need to consult reference materials or scientific databases, as solubility can vary with temperature. Once you have the solubility value, you can calculate the minimum volume of hot water needed to dissolve 100 mg of salicylic acid.

Here's an example calculation:

1. Determine the solubility of salicylic acid in hot water at the desired temperature (e.g., 60°C). Let's assume the solubility is 2.5 g/100 mL at this temperature.

2. Convert the 100 mg of salicylic acid to grams: 100 mg ÷ 1000 = 0.1 g.

3. Set up a proportion using the solubility value:
2.5 g Salicylic acid / 100 mL water = 0.1 g Salicylic acid / x mL water

4. Cross-multiply and solve for x:
(2.5 g Salicylic acid) * x mL water = (0.1 g Salicylic acid) * 100 mL water
x = (0.1 g Salicylic acid) * 100 mL water / 2.5 g Salicylic acid
x ≈ 4 mL water

According to this calculation, the minimum volume of hot water needed to dissolve 100 mg of salicylic acid would be approximately 4 mL. Therefore, the value of 100 mL that you obtained is not correct.