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Type the correct answer in the box. Express your answer to six significant figures.

Given: [tex]K = ^{\circ}C + 273.15[/tex]

What is the temperature of the flame in degrees Celsius?

You measure the flame of a candle and get a reading of [tex]1,376.06 K[/tex]. This value is equal to _________ [tex]^{\circ}C[/tex].


Sagot :

Certainly! To convert the temperature from Kelvin (K) to degrees Celsius (°C), you can use the equation:

[tex]\[ \text{Celsius} (\degree C) = \text{Kelvin} (K) - 273.15 \][/tex]

Let's apply this step-by-step:

1. Given:
- Temperature in Kelvin, [tex]\( K = 1376.06 \)[/tex]

2. Apply the conversion formula:
- [tex]\[ \text{Celsius} = 1376.06 \, K - 273.15 \][/tex]

3. Subtract:
- [tex]\[ \text{Celsius} = 1376.06 - 273.15 \][/tex]

4. Simplify the result:
- [tex]\[ \text{Celsius} = 1102.91 \][/tex]

Thus, the temperature of the flame in degrees Celsius, expressed to six significant figures, is:

[tex]\[ 1102.910 \degree C \][/tex]

(Note: Here, we add an extra zero to ensure the answer has six significant figures.)