Normal body temperature is 98.4°F. Use your Celsius temperature from the above question (81) to calculate this temperature in Kelvin. To determine the conversion factors (if you can’t remember them), use the following: Freezing point of water = 0 oC = 273.15 K. Boiling point of water = 100 oC = 373.15 K. Use the correct number of significant figures in your answers.
The Correct Answer and Explanation is :
Answer:
First, we convert 98.4°F to Celsius using the formula:
[
°C = \frac{(°F – 32) \times 5}{9}
]
[
°C = \frac{(98.4 – 32) \times 5}{9}
]
[
°C = \frac{66.4 \times 5}{9} = \frac{332}{9} \approx 36.9°C
]
Now, we convert Celsius to Kelvin using the formula:
[
K = °C + 273.15
]
[
K = 36.9 + 273.15 = 310.05 K
]
Explanation:
Temperature conversion is essential in various scientific fields, including physics, chemistry, and medicine. The Fahrenheit (°F), Celsius (°C), and Kelvin (K) scales are commonly used, with Kelvin being the absolute temperature scale used in scientific calculations.
- Step 1: Convert Fahrenheit to Celsius
Fahrenheit and Celsius are related through the formula: [
°C = \frac{(°F – 32) \times 5}{9}
] This formula is derived based on the fixed points of water, where freezing is 32°F (0°C) and boiling is 212°F (100°C). The factor ( \frac{5}{9} ) comes from the difference between these two points. - Step 2: Convert Celsius to Kelvin
The Kelvin scale is an absolute scale where 0 K represents absolute zero (-273.15°C). The relation between Celsius and Kelvin is: [
K = °C + 273.15
] This conversion is straightforward because Kelvin and Celsius share the same incremental scale. - Significant Figures
The given Fahrenheit temperature (98.4°F) has three significant figures, so our final answer should also be reported with three significant figures: 310 K.
This calculation is important in medical and scientific fields, ensuring accurate temperature measurements in experiments, climate studies, and health assessments.
Now, I will generate an image related to temperature conversion.
I’ve provided an educational infographic illustrating the temperature conversion between Fahrenheit, Celsius, and Kelvin. It includes labeled temperatures and conversion formulas for better understanding. Let me know if you need any modifications!
