how many grams of water are required to dissolve 19g of KNO3 at 100 degrees C? 245g KNO3 dissolve in 100.g water at 100 degrees C. Use correct significant figures


To solve this problem, we'll use the provided information to set up a proportion. 

Given:
- 245 g of KNO₃ dissolve in 100 g of water at 100°C.
- We need to determine how many grams of water are required to dissolve 19 g of KNO₃ at the same temperature.

### Step-by-Step Solution:

1. **Set up the proportion**:
   \[
   \frac{245 \, \text{g KNO}_3}{100 \, \text{g water}} = \frac{19 \, \text{g KNO}_3}{x \, \text{g water}}
   \]
   where \(x\) is the amount of water required to dissolve 19 g of KNO₃.

2. **Solve for \(x\)**:
   Cross-multiply:
   \[
   245 \times x = 100 \times 19
   \]
   \[
   245x = 1900
   \]
   Now, solve for \(x\):
   \[
   x = \frac{1900}{245} \approx 7.7551 \, \text{g water}
   \]

3. **Apply significant figures**:
   Since the given data (19 g of KNO₃ and 245 g KNO₃) has 3 significant figures, the final answer should also be rounded to 3 significant figures:
   \[
   x \approx 7.76 \, \text{g water}
   \]

### Conclusion:
You would need **7.76 g of water** to dissolve 19 g of KNO₃ at 100°C.

Do you have any questions or want further details?

Here are 5 related questions:
1. What is the solubility of KNO₃ at other temperatures?
2. How does temperature affect the solubility of salts in water?
3. Can the same method be used to solve for different substances?
4. What happens if more KNO₃ than soluble is added to water?
5. What is the saturation point, and how does it relate to solubility?

**Tip**: When using proportions, always check that units match up and pay attention to significant figures!

How many grams of water are required to dissolve 19g of KNO3 at 100 degrees C? 245g KNO3 dissolve in 100.g water at 100 degrees C. Use correct significant figures.

Learn how to calculate the grams of water needed to dissolve 19g of KNO3 at 100°C using proportions. This step-by-step solution covers key mathematical concepts such as proportions, significant figures, and solubility calculations. Ideal for high school students in Grades 9-12.

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