1. Convert -450 degrees Fahrenheit to Celsius.
The Correct Answer and Explanation is:
Answer:
To convert −450 degrees Fahrenheit to degrees Celsius, we use the formula:°C=59(°F−32)°C = \frac{5}{9} (°F – 32)°C=95(°F−32)
Substituting −450 for °F:°C=59(−450−32)=59(−482)=−267.78∘C (rounded to two decimal places)°C = \frac{5}{9} (-450 – 32) = \frac{5}{9} (-482) = -267.78^\circ C \, (\text{rounded to two decimal places})°C=95(−450−32)=95(−482)=−267.78∘C(rounded to two decimal places)
Explanation:
Temperature conversion between Fahrenheit and Celsius is a fundamental concept in thermodynamics and weather science. The Fahrenheit scale is primarily used in the United States and a few other countries, whereas the Celsius scale is the standard in most of the world and in scientific contexts.
To convert from Fahrenheit (°F) to Celsius (°C), the relationship is governed by the linear formula:°C=59(°F−32)°C = \frac{5}{9} (°F – 32)°C=95(°F−32)
This equation works because the Fahrenheit and Celsius scales have different zero points and different degree sizes. On the Celsius scale, water freezes at 0°C and boils at 100°C, while on the Fahrenheit scale, water freezes at 32°F and boils at 212°F. This 180-degree spread (212 – 32) in Fahrenheit compared to 100 degrees in Celsius yields a ratio of 180/100 = 9/5. Therefore, converting involves first subtracting 32 from the Fahrenheit temperature to adjust for the offset, and then multiplying by 5/9 to account for the difference in degree size.
Applying this formula to −450°F:−450−32=−482-450 – 32 = -482−450−32=−48259×(−482)=−267.78∘C\frac{5}{9} \times (-482) = -267.78^\circ C95×(−482)=−267.78∘C
This result shows that −450°F is extremely cold—well below the freezing point of any natural substance on Earth and close to absolute zero (−273.15°C), which is the theoretical minimum possible temperature. Such extreme values are mainly encountered in space or in advanced scientific experiments involving cryogenics.
