To find the correct formula for converting from kelvins to degrees Celsius, let's analyze each given option step-by-step:
1. Option 1: [tex]\( {}^{\circ}C = \left( \frac{9}{5} \times K \right) + 32 \)[/tex]
- This formula is not used to convert kelvins to degrees Celsius. In fact, this is the formula for converting Celsius to Fahrenheit.
- Therefore, this option is incorrect.
2. Option 2: [tex]\( {}^{\circ}C = \frac{5}{9} \times (K - 32) \)[/tex]
- This formula is not applicable for converting kelvins to degrees Celsius. It looks somewhat similar to the formula for converting Fahrenheit to Celsius, but with an incorrect structure.
- Therefore, this option is incorrect.
3. Option 3: [tex]\( {}^{\circ}C = K - 273 \)[/tex]
- This formula correctly converts kelvins to degrees Celsius. The conversion from kelvins to degrees Celsius is simply subtracting 273 from the kelvin temperature.
- Therefore, this option is correct.
4. Option 4: [tex]\( {}^{\circ}C = K + 273 \)[/tex]
- This formula incorrectly states that you should add 273 to kelvins to get Celsius, which is the opposite of the correct conversion.
- Therefore, this option is incorrect.
After analyzing all the given formulas, the correct answer for converting kelvins to degrees Celsius is:
[tex]\[ {}^{\circ}C = K - 273 \][/tex]
Thus, the correct option is the third one.
