convert the temperature of 200 degree C to the kelvin scale.
The Correct Answer and Explanation is:
Converted Temperature:
200∘C=473.15 K200^\circ \text{C} = 473.15 \, \text{K}200∘C=473.15K
Explanation:
To convert a temperature from degrees Celsius to the Kelvin scale, the formula used is:K=∘C+273.15K = ^\circ C + 273.15K=∘C+273.15
The Celsius scale is commonly used in everyday applications, especially in weather forecasting and general temperature measurements. However, in scientific contexts, the Kelvin scale is preferred because it is an absolute temperature scale. It begins at absolute zero, the point where all molecular motion theoretically stops.
Absolute zero is equivalent to –273.15°C. Therefore, to align the Celsius scale with the absolute scale used in scientific measurements, 273.15 is added to the Celsius temperature. This conversion ensures that there are no negative values on the Kelvin scale, which is important in calculations involving thermodynamic laws and principles.
In the given case, the Celsius temperature is 200°C. Applying the conversion formula:K=200+273.15=473.15 KK = 200 + 273.15 = 473.15 \, \text{K}K=200+273.15=473.15K
This means a temperature of 200 degrees Celsius corresponds to 473.15 kelvin. The Kelvin scale does not use the degree (°) symbol; temperatures are simply denoted by K. This standardization helps to avoid confusion in scientific writing and calculations.
Understanding temperature in kelvin is crucial in fields like physics and chemistry. For example, gas laws such as the ideal gas law require the use of kelvin to ensure accuracy, as many physical properties depend on absolute temperature. Because the Kelvin scale starts at absolute zero, it provides a direct measure of the average kinetic energy of particles.
Thus, converting temperatures from Celsius to Kelvin is a foundational skill in science, ensuring that temperature data is compatible with scientific formulas and universal standards.
