For which salt, K2SO4, Li2SO4, KClO4, or NH4Cl, will increasing the temperature of the water have the greatest change in solubility per 100 g solvent?

Don't you have a graph or a table that gives you solubility at various temperatures?

Correct

You can estimate the slopes qualitatively by looking to see which line is the steepest. You could also calculate values by finding Δy/Δx. If you do this, you should have calculated values approximately equal to the following:
Salt Slope
Li2SO4 −0.07
K2SO4 0.13
KClO4 0.17
NH4Cl 0.47

NH4Cl is the answer

"You can estimate the slopes qualitatively by looking to see which line is the steepest. You could also calculate values by finding Δy/Δx. If you do this, you should have calculated values approximately equal to the following:

Salt Slope
Li2SO4 −0.07
K2SO4 0.13
KClO4 0.17
NH4Cl 0.47"
mastering in chemistry

To determine which salt will have the greatest change in solubility per 100 g of solvent with an increase in temperature, we can compare the temperature coefficient of solubility for each salt.

The temperature coefficient of solubility measures the change in solubility of a substance with a 1-degree Celsius increase in temperature. It is calculated using the formula:

Temperature coefficient = (Final Solubility - Initial Solubility) / (Initial Solubility * Change in Temperature)

Let's calculate the temperature coefficient for each salt:

1. K2SO4:
Suppose the initial solubility of K2SO4 in 100 g of solvent is x grams at a temperature of T1°C. With a temperature increase of 1°C, let's say the final solubility increases to y grams. The change in solubility is y - x grams.
The temperature coefficient for K2SO4 would be: (y - x) / (x * 1)

2. Li2SO4:
Using the same steps as above, calculate the temperature coefficient for Li2SO4.

3. KClO4:
Using the same steps as above, calculate the temperature coefficient for KClO4.

4. NH4Cl:
Using the same steps as above, calculate the temperature coefficient for NH4Cl.

Once you have calculated the temperature coefficients for each salt, compare the values. The salt with the highest temperature coefficient will have the greatest change in solubility per 100 g of solvent with an increase in temperature.