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??
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
You don't give much information about what you are to do. Are you to graph these data. Is the solubility listed in grams; i.e., is the first entry 0.10 g or 0.10 mg SA? And what do you consider hot? It could be 50 C or 75 C or 90 C (or some other value)? I looked in my copy of The Merck Index and found the solubility listed as 1 g SA soluble in 15 mL boiling water.
To find the minimum volume of hot water needed to dissolve 100 mg of salicylic acid, we need to examine the solubility of salicylic acid at different temperatures and determine at which temperature it becomes fully soluble.
Looking at the provided data, we can see that the solubility of salicylic acid increases with temperature. At 0°C, the solubility is 0.10 g per 100 ml of water, while at 90°C, it is 3.7 g per 100 ml of water.
To calculate the minimum volume of hot water needed to dissolve 100 mg of salicylic acid, we need to convert the mass of salicylic acid to grams. Since 1 g = 1000 mg, 100 mg of salicylic acid is equal to 0.1 g.
We then need to find the concentration of salicylic acid in each temperature's solution by dividing the amount of salicylic acid per 100 ml of water by 100.
For example, at 0°C, the concentration of salicylic acid is 0.10 g / 100 ml = 0.001 g/ml.
To find the minimum volume of hot water needed to dissolve 0.1 g of salicylic acid at each temperature, we can use the equation:
V = mass of solute (g) / concentration (g/ml)
For each temperature, we can calculate the minimum volume of hot water needed to dissolve 0.1 g (100 mg) of salicylic acid.
At 0°C:
V = 0.1 g / 0.001 g/ml = 100 ml
At 10°C:
V = 0.1 g / 0.0013 g/ml ≈ 77 ml
At 25°C:
V = 0.1 g / 0.0023 g/ml ≈ 43 ml
At 50°C:
V = 0.1 g / 0.0063 g/ml ≈ 16 ml
At 75°C:
V = 0.1 g / 0.018 g/ml ≈ 5.5 ml
At 90°C:
V = 0.1 g / 0.037 g/ml ≈ 2.7 ml
From the calculations, we can see that the minimum volume of hot water needed to dissolve 100 mg of salicylic acid is approximately 2.7 ml at 90°C, not 100 ml.
Therefore, the correct answer is 2.7 ml of hot water at 90°C.