Find the minimum volume of hot water needed to dissolve 100 mg of salicylic acid. Can someone help me how to start this out? I would greatly appreciate it.
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
If you call hot water 90 degrees C, then
100 mL H2O x (0.10 g/3.7g)= ??
Then the minimum volume of hot water then is 2.70mL
That's what I get. I don't know what your prof calls hot water but the minimum volume of water, of course, is at the highest temperature.
Yea my prof was not very clear or did not clarify what hot water would be. Thanks for the help.
Can somebody explain the reasoning behind the math calculation?
To find the minimum volume of hot water needed to dissolve 100 mg of salicylic acid, we can make use of the solubility data given in the table. The solubility of salicylic acid is provided as the amount of salicylic acid per 100 ml water at different temperatures.
First, let's convert the given mass of salicylic acid from milligrams (mg) to grams (g). Since 1 gram is equal to 1000 milligrams, 100 mg is equivalent to 0.1 grams.
Next, we need to determine the temperature at which salicylic acid is most soluble. By examining the solubility data, we can see that the solubility increases as the temperature increases. Therefore, we are looking for the highest temperature at which salicylic acid is still soluble. In this case, it is 90°C.
Now, we can use this temperature to determine the amount of salicylic acid that dissolves in 100 ml of water. According to the data, at 90°C, the solubility is 3.7 g of salicylic acid per 100 ml of water.
Since we need to dissolve 0.1 g of salicylic acid, we can set up a proportion to find the volume of water needed.
Let V be the volume of water in ml:
0.1 g salicylic acid / 3.7 g salicylic acid = 100 ml water / V ml water
Cross-multiplying, we have:
0.1 g salicylic acid * V ml water = 3.7 g salicylic acid * 100 ml water
Simplifying further:
0.1 V = 370
Finally, we can solve for V:
V = 370 / 0.1
Therefore, the minimum volume of hot water needed to dissolve 100 mg of salicylic acid is 3700 ml, or 3.7 liters.