Question

Convert the following temperatures to the Kelvin scale.
(a) \[{\text{25}}^\circ {\text{C}}\]
(b) \[{\text{373}}^\circ {\text{C}}\]

Answer 1

Hint: To convert the unit of temperature from degree Celsius to kelvin, add 273. The formula for the conversion of temperature from degree Celsius to kelvin is as shown below:
\[T = t + 273\]
Here, T is the temperature in kelvin and t is the temperature in degree Celsius.

Complete step by step answer:
Temperature can be expressed in three different units, degree Celsius, kelvin and Fahrenheit. The values in these three units can be interconverted using appropriate formulas.
The formula for the conversion of temperature from degree Celsius to Fahrenheit is as shown below:
\[T = 1.8t + 32\]
Here, T is the temperature in Fahrenheit and t is the temperature in degree Celsius
The formula for the conversion of temperature from degree Celsius to kelvin is as shown below:
\[T = t + 273\]
Here, T is the temperature in kelvin and t is the temperature in degree Celsius
(a) The temperature in degrees Celsius is \[{\text{25}}^\circ {\text{C}}\]. To convert it into kelvin, add 273.
\[t = {\text{25}}^\circ {\text{C}} \\
T = t + 273 \\
T = \left( {25 + 273} \right){\text{ K}} \\
T = 298{\text{ K}} \\ \]
Hence, the temperature of \[{\text{25}}^\circ {\text{C}}\] is equal to \[298{\text{ K}}\] .
(b) The temperature in degrees Celsius is \[{\text{373}}^\circ {\text{C}}\]. To convert it into kelvin, add 273.
\[t = {\text{373}}^\circ {\text{C}} \\
T = t + 273 \\
T = \left( {{\text{373}} + 273} \right){\text{ K}} \\
T = 646{\text{ K}} \\ \]

Hence, the temperature of \[{\text{373}}^\circ {\text{C}}\] is equal to \[646{\text{ K}}\].

Note: For more accuracy during conversion of the unit of temperature from degree Celsius to kelvin, add 273.15.
The formula for the conversion of temperature from degree Celsius to kelvin will be as shown below:
T = t + 273.15
Here, T is the temperature in kelvin and t is the temperature in degree Celsius