Answer :
To convert a temperature from Kelvin to degrees Celsius, you use the formula:
[tex]\[ \text{Celsius} = \text{Kelvin} - 273.15 \][/tex]
1. We start with the given temperature in Kelvin:
[tex]\[ \text{Kelvin} = 288 \][/tex]
2. Apply the conversion formula:
[tex]\[ \text{Celsius} = 288 - 273.15 \][/tex]
3. Perform the subtraction:
[tex]\[ \text{Celsius} = 14.85 \][/tex]
So, the temperature [tex]\(288 K\)[/tex] is equivalent to [tex]\(14.85^{\circ} C\)[/tex].
When we relate this result to the given options:
- Option A: [tex]\(561^{\circ} C\)[/tex]
- Option B: [tex]\(-172^{\circ} C\)[/tex]
- Option C: [tex]\(15^{\circ} C\)[/tex]
- Option D: [tex]\(748^{\circ} C\)[/tex]
Although [tex]\(14.85\)[/tex] is very close to option C ([tex]\(15^{\circ} C\)[/tex]), it does not exactly match any of the provided options. Hence, none of the options precisely matches the calculated temperature of [tex]\(14.85^{\circ} C\)[/tex].
[tex]\[ \text{Celsius} = \text{Kelvin} - 273.15 \][/tex]
1. We start with the given temperature in Kelvin:
[tex]\[ \text{Kelvin} = 288 \][/tex]
2. Apply the conversion formula:
[tex]\[ \text{Celsius} = 288 - 273.15 \][/tex]
3. Perform the subtraction:
[tex]\[ \text{Celsius} = 14.85 \][/tex]
So, the temperature [tex]\(288 K\)[/tex] is equivalent to [tex]\(14.85^{\circ} C\)[/tex].
When we relate this result to the given options:
- Option A: [tex]\(561^{\circ} C\)[/tex]
- Option B: [tex]\(-172^{\circ} C\)[/tex]
- Option C: [tex]\(15^{\circ} C\)[/tex]
- Option D: [tex]\(748^{\circ} C\)[/tex]
Although [tex]\(14.85\)[/tex] is very close to option C ([tex]\(15^{\circ} C\)[/tex]), it does not exactly match any of the provided options. Hence, none of the options precisely matches the calculated temperature of [tex]\(14.85^{\circ} C\)[/tex].
