The absolute zero temperature in Fahrenheit scale is

Options

A. `-273^(@)F`
B. `-32^(@)F`
C. `-460^(@)F`
D. `132^(@)F`

Answer

To find the absolute zero temperature in the Fahrenheit scale, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Absolute Zero**:
Absolute zero is the lowest possible temperature where all molecular motion stops. In the Kelvin scale, absolute zero is defined as 0 K.

2. **Use the Temperature Conversion Formula**:
The relationship between Celsius (C), Fahrenheit (F), and Kelvin (K) can be expressed as:
\[ \frac{C}{100} = \frac{F - 32}{180} = \frac{K - 273}{100} \]

3. **Set K to Absolute Zero**:
Since we want to find the temperature in Fahrenheit at absolute zero, we set \( K = 0 \):
\[ \frac{0 - 273}{100} = \frac{F - 32}{180} \]

4. **Simplify the Equation**:
This simplifies to:
\[ \frac{-273}{100} = \frac{F - 32}{180} \]

5. **Cross-Multiply to Solve for F**:
Cross-multiplying gives:
\[ -273 \times 180 = (F - 32) \times 100 \]

6. **Calculate the Left Side**:
Calculate \(-273 \times 180\):
\[ -273 \times 180 = -49140 \]

7. **Set Up the Equation**:
Now we have:
\[ -49140 = 100(F - 32) \]

8. **Divide by 100**:
Divide both sides by 100:
\[ -491.4 = F - 32 \]

9. **Isolate F**:
Add 32 to both sides to solve for \( F \):
\[ F = -491.4 + 32 \]

10. **Final Calculation**:
Calculate \( -491.4 + 32 \):
\[ F = -459.4 \]

### Final Answer:
The absolute zero temperature in the Fahrenheit scale is \( -459.4^\circ F \).