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In the image, we are given a table showing the solubility of two substances (Sodium Chloride and Lead Nitrate) at 20°C. The solubility is measured in grams per 100 grams of water, and we are tasked with determining the solubility values (L and K) for 100 kg of each substance.

Here's how we can approach the problem:

### Part 1: Finding L and K

The table provides the solubility for Sodium Chloride and Lead Nitrate at 200 kg as follows:
- For 200 kg of Sodium Chloride, the solubility is 36 g per 100 g of water.
- For 200 kg of Lead Nitrate, the solubility is 54 g per 100 g of water.

Since the relationship between the solubility and the mass of the substance is linear, we can use this information to scale the solubility for 100 kg, which is half of 200 kg.

#### For Sodium Chloride (L):
The solubility for 200 kg is 36 g/100 g of water. Since 100 kg is half of 200 kg, we can divide the solubility value by 2.
\[
L = \frac{36}{2} = 18 \, \text{g/100 g of water}
\]

#### For Lead Nitrate (K):
Similarly, the solubility for 200 kg of Lead Nitrate is 54 g/100 g of water. Dividing by 2 for 100 kg:
\[
K = \frac{54}{2} = 27 \, \text{g/100 g of water}
\]

Thus, the values for **L = 18** and **K = 27** for 100 kg of Sodium Chloride and Lead Nitrate, respectively.

### Part 2: Explanation for Part 1

The solubility values for 200 kg are directly proportional to the mass, meaning that the solubility for 100 kg will be exactly half of the values for 200 kg. This is because solubility is a linear function in this scenario. By dividing the given solubility values for 200 kg by 2, we can accurately find the solubility for 100 kg.

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Do you want more details or have any questions about this solution?

Here are 5 related questions to explore:
1. What is the general formula to calculate solubility based on mass and proportionality?
2. How does temperature affect solubility, and why is it important to mention the temperature in this problem?
3. If the mass of Sodium Chloride was 300 kg, how would you calculate the solubility?
4. Is there a limit to how much of a substance can dissolve in water at a fixed temperature?
5. How would you calculate the solubility if the water mass changed instead of the substance?

**Tip**: When working with solubility, always check if the relationship between mass and solubility is linear, as this simplifies calculations.

What will be the values of L and K for 100 kg of Sodium Chloride and Lead Nitrate? Explain your answer.

Learn how to calculate the solubility of Sodium Chloride and Lead Nitrate in water at 20°C. This problem demonstrates the concept of linear proportionality and how to determine solubility for varying masses of substances. Suitable for students in Grades 7-9.

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