Convert 113° F into i) Celsius ii) Kelvin.
The correct answer and explanation is:
To convert 113°F to Celsius (°C) and Kelvin (K), we use the following formulas:
i) Convert Fahrenheit to Celsius:
°C=(°F−32)×59°C = (°F – 32) \times \frac{5}{9} °C=(113−32)×59=81×59=45°C°C = (113 – 32) \times \frac{5}{9} = 81 \times \frac{5}{9} = 45°C
ii) Convert Celsius to Kelvin:
K=°C+273.15=45+273.15=318.15 KK = °C + 273.15 = 45 + 273.15 = 318.15\ K
✅ Final Answers:
- Celsius: 45°C
- Kelvin: 318.15 K
🔍 Explanation (Approximately 300 Words):
Temperature conversions are essential in science, medicine, and daily life because different regions and scientific disciplines use various temperature scales. The three most common temperature scales are Fahrenheit (°F), Celsius (°C), and Kelvin (K).
Fahrenheit is primarily used in the United States for weather forecasting and household temperature measurements. Celsius is widely used in most of the world and in scientific contexts because of its simpler and more intuitive scale — where water freezes at 0°C and boils at 100°C. Kelvin is the standard unit of temperature in the International System of Units (SI) and is used extensively in physics and chemistry because it starts at absolute zero (0 K), the point where all molecular motion ceases.
In this problem, the goal is to convert 113°F to both Celsius and Kelvin. We first subtract 32 from the Fahrenheit temperature, then multiply by 5/9 to convert to Celsius. That gives us 45°C. Next, we convert Celsius to Kelvin by adding 273.15, giving 318.15 K.
This process demonstrates the relationship between the temperature scales. Understanding these conversions is crucial for health professionals (e.g., converting a patient’s body temperature), engineers (e.g., operating temperature ranges for machinery), and scientists (e.g., chemical reactions that occur at specific temperatures).
Mastering these conversions ensures accuracy in communication and data interpretation, especially in global or scientific environments where temperatures must be expressed using the universally accepted Kelvin or Celsius scales.