To determine which temperature in Kelvin is equivalent to [tex]\(5^{\circ}C\)[/tex], we need to follow these steps:
1. Understand the relationship between Celsius and Kelvin. The formula to convert Celsius to Kelvin is:
[tex]\[ K = C + 273.15 \][/tex]
2. Substitute the given Celsius temperature into the formula. Here, we are given [tex]\(5^{\circ}C\)[/tex]:
[tex]\[ K = 5 + 273.15 \][/tex]
3. Perform the addition:
[tex]\[ K = 278.15 \][/tex]
4. Since the choices are provided as whole numbers (integers), we round the result to the nearest whole number. In this case, 278.15 rounded to the nearest whole number is 278.
Therefore, the temperature [tex]\(5^{\circ}C\)[/tex] is equal to [tex]\(278\)[/tex] K.
Thus, the correct answer is:
D. 278 K
