To determine the temperature in degrees Celsius for a given temperature in Kelvin, we use the following conversion formula:
[tex]\[ T_C = T_K - 273.15 \][/tex]
where:
- [tex]\( T_C \)[/tex] represents the temperature in degrees Celsius.
- [tex]\( T_K \)[/tex] represents the temperature in Kelvin.
Given the temperature in Kelvin is [tex]\( 49 \, \text{K} \)[/tex]:
1. Substitute the given temperature in Kelvin into the conversion formula:
[tex]\[
T_C = 49 - 273.15
\][/tex]
2. Perform the subtraction:
[tex]\[
T_C = 49 - 273.15 = -224.15
\][/tex]
Thus, the temperature of the substance in degrees Celsius is [tex]\( -224.15^{\circ}C \)[/tex].
Among the given options, the correct answer is:
[tex]\[ -224^{\circ} C \][/tex]
