(3.9: Similar to For More Practice 3.15) To find the mass of potassium in 5.6 g potassium hydroxide by dimensional analysis, which of the following conversion factors should be used? Potassium hydroxide is 69.7% potassium by mass. O 5.6 g KOH/69.7 g KOH O 69.7 g K/100 g KOH O 100 g KOH/69.7 g K O 100 g K/69.7 g KOH

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**Finding the Mass of Potassium in Potassium Hydroxide**

**Problem Statement:**
To find the mass of potassium in 5.6 g of potassium hydroxide (KOH) by dimensional analysis, which of the following conversion factors should be used? Potassium hydroxide is 69.7% potassium by mass.

**Options:**

- \( \frac{5.6 \text{ g KOH}}{69.7 \text{ g KOH}} \)
- \( \frac{69.7 \text{ g K}}{100 \text{ g KOH}} \)
- \( \frac{100 \text{ g KOH}}{69.7 \text{ g K}} \)
- \( \frac{100 \text{ g K}}{69.7 \text{ g KOH}} \)

**Explanation:**
To determine the correct conversion factor, consider the percentage of potassium in potassium hydroxide. The percentage given is 69.7%, which can be interpreted as 69.7 g of potassium per 100 g of potassium hydroxide. This conversion factor is essential for converting the given mass of potassium hydroxide to the mass of potassium.

**Correct Conversion Factor:**
\[ \frac{69.7 \text{ g K}}{100 \text{ g KOH}} \]

This factor indicates that in 100 g of potassium hydroxide, there are 69.7 g of potassium. Using this conversion factor, you can calculate the mass of potassium in any given mass of potassium hydroxide by simple multiplication.
Transcribed Image Text:**Finding the Mass of Potassium in Potassium Hydroxide** **Problem Statement:** To find the mass of potassium in 5.6 g of potassium hydroxide (KOH) by dimensional analysis, which of the following conversion factors should be used? Potassium hydroxide is 69.7% potassium by mass. **Options:** - \( \frac{5.6 \text{ g KOH}}{69.7 \text{ g KOH}} \) - \( \frac{69.7 \text{ g K}}{100 \text{ g KOH}} \) - \( \frac{100 \text{ g KOH}}{69.7 \text{ g K}} \) - \( \frac{100 \text{ g K}}{69.7 \text{ g KOH}} \) **Explanation:** To determine the correct conversion factor, consider the percentage of potassium in potassium hydroxide. The percentage given is 69.7%, which can be interpreted as 69.7 g of potassium per 100 g of potassium hydroxide. This conversion factor is essential for converting the given mass of potassium hydroxide to the mass of potassium. **Correct Conversion Factor:** \[ \frac{69.7 \text{ g K}}{100 \text{ g KOH}} \] This factor indicates that in 100 g of potassium hydroxide, there are 69.7 g of potassium. Using this conversion factor, you can calculate the mass of potassium in any given mass of potassium hydroxide by simple multiplication.
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