Using the figure below, calculate the minimum mass of potassium nitrate required to form a saturated solution in 250 g of water at 20 °C? 100 e o sa to 20 10 0 0 10 30 KNO, - 40 KCI 50 Temperature *C 60 KCIO, 70 80 90 100
Using the figure below, calculate the minimum mass of potassium nitrate required to form a saturated solution in 250 g of water at 20 °C? 100 e o sa to 20 10 0 0 10 30 KNO, - 40 KCI 50 Temperature *C 60 KCIO, 70 80 90 100
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Question:**
Using the figure below, calculate the minimum mass of potassium nitrate required to form a saturated solution in 250 g of water at 20 °C.
**Graph Description:**
The graph shows solubility curves for three salts: KNO₃ (potassium nitrate), KCl (potassium chloride), and KClO₃ (potassium chlorate). The x-axis represents temperature in degrees Celsius, ranging from 0 to 100 °C. The y-axis represents solubility in grams of solute per 100 grams of H₂O, ranging from 0 to 100 g/100g H₂O.
- **KNO₃:** The curve for potassium nitrate rises steeply with increasing temperature. At 20 °C, the solubility is approximately 32 g/100g H₂O.
- **KCl:** The curve for potassium chloride is less steep, indicating moderate solubility change with temperature. At 20 °C, it is approximately 34 g/100g H₂O.
- **KClO₃:** This curve is the least steep, with lower solubility at lower temperatures, and intersects the KNO₃ curve around 80 °C.
**Calculation Instruction:**
To find the minimum mass of KNO₃ needed:
1. Determine the solubility of KNO₃ at 20 °C from the graph, which is 32 g/100g H₂O.
2. Since the solution needs to be prepared in 250 g of water, calculate the required mass of KNO₃ using proportional scaling:
\[
\text{Mass of KNO₃} = \left( \frac{32 \text{ g KNO₃}}{100 \text{ g H₂O}} \right) \times 250 \text{ g H₂O} = 80 \text{ g KNO₃}
\]
Thus, 80 grams of potassium nitrate are required to form a saturated solution in 250 grams of water at 20 °C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff374fd73-488a-4adb-8b7d-778f6191c8e3%2Fcc33060a-b0e1-4c9e-aed4-455365f03a58%2Fakbjktm_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Using the figure below, calculate the minimum mass of potassium nitrate required to form a saturated solution in 250 g of water at 20 °C.
**Graph Description:**
The graph shows solubility curves for three salts: KNO₃ (potassium nitrate), KCl (potassium chloride), and KClO₃ (potassium chlorate). The x-axis represents temperature in degrees Celsius, ranging from 0 to 100 °C. The y-axis represents solubility in grams of solute per 100 grams of H₂O, ranging from 0 to 100 g/100g H₂O.
- **KNO₃:** The curve for potassium nitrate rises steeply with increasing temperature. At 20 °C, the solubility is approximately 32 g/100g H₂O.
- **KCl:** The curve for potassium chloride is less steep, indicating moderate solubility change with temperature. At 20 °C, it is approximately 34 g/100g H₂O.
- **KClO₃:** This curve is the least steep, with lower solubility at lower temperatures, and intersects the KNO₃ curve around 80 °C.
**Calculation Instruction:**
To find the minimum mass of KNO₃ needed:
1. Determine the solubility of KNO₃ at 20 °C from the graph, which is 32 g/100g H₂O.
2. Since the solution needs to be prepared in 250 g of water, calculate the required mass of KNO₃ using proportional scaling:
\[
\text{Mass of KNO₃} = \left( \frac{32 \text{ g KNO₃}}{100 \text{ g H₂O}} \right) \times 250 \text{ g H₂O} = 80 \text{ g KNO₃}
\]
Thus, 80 grams of potassium nitrate are required to form a saturated solution in 250 grams of water at 20 °C.
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