What is the triple point of water on a Fahrenheit scale ? What is the absolute zero on this scale ?

Answer

To find the triple point of water and absolute zero on the Fahrenheit scale, we will use the interconversion formulas between Kelvin, Celsius, and Fahrenheit.

### Step-by-Step Solution:

1. **Understand the Triple Point of Water**:
The triple point of water is defined as the temperature at which water can exist in all three states: solid, liquid, and gas. In Kelvin, the triple point of water is 273.16 K.

2. **Convert the Triple Point from Kelvin to Fahrenheit**:
We use the formula for converting Kelvin to Fahrenheit:
\[ F = \left(\frac{K - 273.15}{100}\right) \times 180 + 32 \]
Substituting \( K = 273.16 \):
\[ F = \left(\frac{273.16 - 273.15}{100}\right) \times 180 + 32 \]
\[ F = \left(\frac{0.01}{100}\right) \times 180 + 32 \]
\[ F = 0.018 + 32 \]
\[ F = 32.018 \text{ degrees Fahrenheit} \]

3. **Understand Absolute Zero**:
Absolute zero is the theoretical temperature at which a system has minimal energy, defined as 0 K in the Kelvin scale.

4. **Convert Absolute Zero from Kelvin to Fahrenheit**:
Again, we use the same conversion formula:
\[ F = \left(\frac{K - 273.15}{100}\right) \times 180 + 32 \]
Substituting \( K = 0 \):
\[ F = \left(\frac{0 - 273.15}{100}\right) \times 180 + 32 \]
\[ F = \left(\frac{-273.15}{100}\right) \times 180 + 32 \]
\[ F = -273.15 \times 1.8 + 32 \]
\[ F = -491.67 + 32 \]
\[ F = -459.67 \text{ degrees Fahrenheit} \]

### Final Answers:
- The triple point of water on the Fahrenheit scale is **32.018 degrees Fahrenheit**.
- Absolute zero on the Fahrenheit scale is **-459.67 degrees Fahrenheit**.