Conversion Exercises Convert the following Celsius temperatures to Fahrenheit:
a. 36.5°C = _ °F b. 357°C = °F
c. 39.5°C = °F
d. 36.8°C = °F
e. 38.8°C = °F
f. 37.4°C = _ °F
The correct answer and explanation is :
Here are the correct Fahrenheit conversions:
a. 36.5°C = 97.7°F
b. 357°C = 674.6°F
c. 39.5°C = 103.1°F
d. 36.8°C = 98.24°F
e. 38.8°C = 101.84°F
f. 37.4°C = 99.32°F
Explanation:
To convert Celsius to Fahrenheit, we use the formula:
[
°F = (°C \times \frac{9}{5}) + 32
]
This formula works because the Celsius and Fahrenheit scales have different zero points and increments. Water freezes at 0°C and boils at 100°C, whereas in Fahrenheit, water freezes at 32°F and boils at 212°F. The 9/5 conversion factor accounts for the different scaling of temperature increments.
Step-by-Step Conversion:
- For 36.5°C:
[
(36.5 \times \frac{9}{5}) + 32 = 97.7°F
] - For 357°C:
[
(357 \times \frac{9}{5}) + 32 = 674.6°F
]
(This is extremely high, commonly found in industrial applications.) - For 39.5°C:
[
(39.5 \times \frac{9}{5}) + 32 = 103.1°F
]
(This is significant because a human body temperature over 100°F may indicate fever.) - For 36.8°C:
[
(36.8 \times \frac{9}{5}) + 32 = 98.24°F
]
(Close to the normal human body temperature of 98.6°F.) - For 38.8°C:
[
(38.8 \times \frac{9}{5}) + 32 = 101.84°F
]
(This is a mild fever.) - For 37.4°C:
[
(37.4 \times \frac{9}{5}) + 32 = 99.32°F
]
(Slightly elevated but not necessarily a fever.)
Importance of Temperature Conversion:
Temperature conversion is essential in fields such as medicine, meteorology, engineering, and cooking. For instance, in healthcare, body temperature is often measured in Celsius in some countries but may need conversion for international understanding. Similarly, in industrial settings, machines operate at specific temperatures, requiring conversions for accurate settings. Understanding this conversion process ensures precision in various applications.