Express 10 degree Celsius 50 degree Celsius and 100 degree Celsius and in fahrenheit scale
The Correct Answer and Explanation is:
To convert temperatures from Celsius to Fahrenheit, we use the formula:F=(C×95)+32F = \left( C \times \frac{9}{5} \right) + 32F=(C×59)+32
Where:
- FFF is the temperature in Fahrenheit
- CCC is the temperature in Celsius
Let’s convert 10°C, 50°C, and 100°C to Fahrenheit one by one.
1. 10°C in Fahrenheit
Substitute C=10C = 10C=10 into the formula:F=(10×95)+32F = \left( 10 \times \frac{9}{5} \right) + 32F=(10×59)+32F=18+32=50°FF = 18 + 32 = 50°FF=18+32=50°F
Thus, 10°C equals 50°F.
2. 50°C in Fahrenheit
Now, substitute C=50C = 50C=50:F=(50×95)+32F = \left( 50 \times \frac{9}{5} \right) + 32F=(50×59)+32F=90+32=122°FF = 90 + 32 = 122°FF=90+32=122°F
Therefore, 50°C equals 122°F.
3. 100°C in Fahrenheit
Finally, for C=100C = 100C=100:F=(100×95)+32F = \left( 100 \times \frac{9}{5} \right) + 32F=(100×59)+32F=180+32=212°FF = 180 + 32 = 212°FF=180+32=212°F
So, 100°C equals 212°F.
Explanation
The Celsius and Fahrenheit scales are both used to measure temperature, but they are based on different points of reference. The Celsius scale, also known as the Centigrade scale, defines 0°C as the freezing point of water and 100°C as the boiling point at standard atmospheric pressure. On the other hand, the Fahrenheit scale places the freezing point of water at 32°F and the boiling point at 212°F.
The key difference is that the Fahrenheit scale divides the difference between freezing and boiling into 180 increments, while the Celsius scale divides it into 100 increments. This makes each degree on the Fahrenheit scale smaller in size compared to a Celsius degree. To convert from Celsius to Fahrenheit, you multiply the Celsius temperature by 95\frac{9}{5}59 and then add 32 to account for the offset in the freezing points.
Understanding these conversions helps in making sense of temperatures measured in different systems, which is especially important in scientific, engineering, and everyday contexts.
