Answer:
- The solubility of the salt is 35.16 (g/100 g of water).
- It would take 71.09 grams of water to dissolve 25 grams of salt.
- The percentage of salt that dissolves is 52.7 %
Explanation:
<h3>
a.</h3>
We know that 3.20 grams of salt in 9.10 grams of water gives us a saturated solution at 25°C. To find how many grams of salt will gives us a saturated solution in 100 grams of water at the same temperature, we can use the rule of three.
![\frac{3.20 \g \ salt}{9.10 \ g \ water} = \frac{x \ g \ salt}{100 \ g \ water}](https://tex.z-dn.net/?f=%5Cfrac%7B3.20%20%5Cg%20%5C%20salt%7D%7B9.10%20%5C%20g%20%5C%20water%7D%20%3D%20%5Cfrac%7Bx%20%5C%20g%20%5C%20salt%7D%7B100%20%5C%20g%20%5C%20water%7D)
Working it a little this gives us :
![x = 100 \ g \ water * \frac{3.20 \g \ salt}{9.10 \ g \ water}](https://tex.z-dn.net/?f=%20x%20%3D%20100%20%5C%20g%20%5C%20water%20%2A%20%5Cfrac%7B3.20%20%5Cg%20%5C%20salt%7D%7B9.10%20%5C%20g%20%5C%20water%7D%20)
![x = 35.16 \ g \ salt](https://tex.z-dn.net/?f=%20x%20%3D%2035.16%20%5C%20g%20%5C%20salt%20)
So, the solubility of the salt is 35.16 (g/100 g of water).
<h3>
b.</h3>
Using the rule of three, we got:
![\frac{3.20 \g \ salt}{9.10 \ g \ water} = \frac{25 \ g \ salt}{x \ g \ water}](https://tex.z-dn.net/?f=%5Cfrac%7B3.20%20%5Cg%20%5C%20salt%7D%7B9.10%20%5C%20g%20%5C%20water%7D%20%3D%20%5Cfrac%7B25%20%5C%20g%20%5C%20salt%7D%7Bx%20%5C%20g%20%5C%20water%7D)
Working it a little this gives us :
![x = \frac{25 \ g \ salt}{ \frac{3.20 \g \ salt}{9.10 \ g \ water}}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B25%20%5C%20g%20%5C%20salt%7D%7B%20%5Cfrac%7B3.20%20%5Cg%20%5C%20salt%7D%7B9.10%20%5C%20g%20%5C%20water%7D%7D%20)
![x = 71.09 g \ water](https://tex.z-dn.net/?f=%20x%20%3D%2071.09%20g%20%5C%20water%20)
So, it would take 71.09 grams of water to dissolve 25 grams of salt.
<h3>C.</h3>
Using the rule of three, we got that for 15.0 grams of water the salt dissolved will be:
![\frac{3.20 \g \ salt}{9.10 \ g \ water} = \frac{x \ g \ salt}{15.0 \ g \ water}](https://tex.z-dn.net/?f=%5Cfrac%7B3.20%20%5Cg%20%5C%20salt%7D%7B9.10%20%5C%20g%20%5C%20water%7D%20%3D%20%5Cfrac%7Bx%20%5C%20g%20%5C%20salt%7D%7B15.0%20%5C%20g%20%5C%20water%7D)
Working it a little this gives us :
![x = 15.0 \ g \ water * \frac{3.20 \g \ salt}{9.10 \ g \ water}](https://tex.z-dn.net/?f=%20x%20%3D%2015.0%20%5C%20g%20%5C%20water%20%2A%20%5Cfrac%7B3.20%20%5Cg%20%5C%20salt%7D%7B9.10%20%5C%20g%20%5C%20water%7D%20)
![x = 5.27\ g \ salt](https://tex.z-dn.net/?f=%20x%20%3D%205.27%5C%20g%20%5C%20salt%20)
This is the salt dissolved
The percentage of salt dissolved is:
![percentage \ salt \ dissolved = 100 \% * \frac{g \ salt \ dissolved}{g \ salt}](https://tex.z-dn.net/?f=percentage%20%5C%20salt%20%5C%20dissolved%20%3D%20100%20%5C%25%20%2A%20%5Cfrac%7Bg%20%5C%20salt%20%5C%20dissolved%7D%7Bg%20%5C%20salt%7D)
![percentage \ salt \ dissolved = 100 \% * \frac{ 5.27\ g \ salt }{ 10.0 \ g \ salt}](https://tex.z-dn.net/?f=percentage%20%5C%20salt%20%5C%20dissolved%20%3D%20100%20%5C%25%20%2A%20%5Cfrac%7B%205.27%5C%20g%20%5C%20salt%20%7D%7B%2010.0%20%5C%20g%20%5C%20salt%7D)
![percentage \ salt \ dissolved = 52.7 \%](https://tex.z-dn.net/?f=percentage%20%5C%20salt%20%5C%20dissolved%20%3D%2052.7%20%5C%25%20)