To convert a temperature given in Celsius to Kelvin, you need to use the following formula:
[tex]\[ K = C + 273.15 \][/tex]
where [tex]\( K \)[/tex] is the temperature in Kelvin and [tex]\( C \)[/tex] is the temperature in Celsius.
Step-by-step, let's apply this to the given temperature of [tex]\(-53^\circ \text{C}\)[/tex]:
1. Start with the temperature in Celsius:
[tex]\[
T_C = -53^\circ \text{C}
\][/tex]
2. Add 273.15 to the temperature in Celsius to convert it to Kelvin:
[tex]\[
T_K = T_C + 273.15
\][/tex]
3. Substitute [tex]\(-53^\circ \text{C}\)[/tex] into the equation:
[tex]\[
T_K = -53 + 273.15
\][/tex]
4. Compute the result:
[tex]\[
T_K = 220.15 \text{ K}
\][/tex]
5. Round the result to 0 decimal places:
[tex]\[
T_K \approx 220 \text{ K}
\][/tex]
Therefore, the temperature in Kelvin, rounded to the nearest whole number, is:
[tex]\[ \boxed{220} \text{ K} \][/tex]
