Convert the following temperatures to the Celsius scale: (a) 293 K (b) 473 K
The Correct Answer and Explanation is:
Correct Answers:
(a) 293 K = 20°C
(b) 473 K = 200°C
Explanation:
The Kelvin (K) and Celsius (°C) temperature scales are closely related. The Kelvin scale is the absolute temperature scale used in science, beginning at absolute zero, where all molecular motion stops. The Celsius scale, on the other hand, is commonly used in everyday applications and is based on the freezing and boiling points of water.
To convert a temperature from Kelvin to Celsius, subtract 273.15 from the Kelvin temperature. This formula comes from the fact that 0°C corresponds to 273.15 K. Since both scales increase at the same rate, the difference between a given Kelvin and Celsius reading remains constant.
For example, converting 293 K to Celsius involves subtracting 273.15:
293 K − 273.15 = 19.85°C
Rounding this to the nearest whole number gives 20°C.
Similarly, to convert 473 K to Celsius:
473 K − 273.15 = 199.85°C
Rounded, this gives 200°C.
Understanding this conversion is essential in many fields such as physics, chemistry, engineering, and environmental science. The Kelvin scale is particularly useful in scientific contexts because it avoids negative numbers and simplifies many thermodynamic calculations.
In everyday use, Celsius remains more intuitive, especially when describing weather conditions or cooking temperatures. However, in laboratory and theoretical settings, the Kelvin scale provides a universal standard.
In summary, converting Kelvin to Celsius involves a simple subtraction of 273.15. The examples provided—293 K and 473 K—demonstrate how temperatures in Kelvin translate to 20°C and 200°C respectively on the Celsius scale. This conversion ensures consistency when switching between scientific and practical applications.
