Convert 150 Celsius to Fahrenheit
The correct answer and explanation is:
To convert 150°C to Fahrenheit, use the formula: °F=(°C×95)+32°F = (°C × \frac{9}{5}) + 32
Substitute 150 for °C: °F=(150×95)+32=(270)+32=302°F°F = (150 × \frac{9}{5}) + 32 = (270) + 32 = \boxed{302°F}
Detailed Explanation (300 words)
The Celsius (°C) and Fahrenheit (°F) scales are two different ways of measuring temperature. Celsius is part of the metric system and is widely used in most countries worldwide, especially in scientific contexts. Fahrenheit is primarily used in the United States.
To convert a temperature from Celsius to Fahrenheit, we use a specific mathematical formula: °F=(°C×95)+32°F = (°C × \frac{9}{5}) + 32
This formula comes from how the two temperature scales are defined. On the Celsius scale, water freezes at 0°C and boils at 100°C. On the Fahrenheit scale, water freezes at 32°F and boils at 212°F. So, there is an interval of 100 degrees between freezing and boiling on the Celsius scale, and an interval of 180 degrees on the Fahrenheit scale. The ratio between these two intervals is: 180100=95\frac{180}{100} = \frac{9}{5}
This ratio (9/5) adjusts for the difference in the size of each degree between the two scales. However, since 0°C is not the same as 0°F (0°C = 32°F), we also need to add 32 degrees after multiplying by 9/5 to shift the zero point accordingly.
Let’s break down the conversion of 150°C:
- Multiply 150 by 9: 150×9=1350150 × 9 = 1350
- Divide 1350 by 5: 1350÷5=2701350 ÷ 5 = 270
- Add 32 to shift the scale: 270+32=302°F270 + 32 = 302°F
So, 150°C equals 302°F. Understanding this formula is essential in many fields like cooking, medicine, engineering, and weather forecasting where temperature conversions are frequently required.