Convert the following Kelvin temperatures to the Celsius and Fahrenheit scales:

1. The midday temperature at the surface of the moon is about [tex]420 \, \text{K}[/tex].
- Convert to the Celsius scale. Express your answer in degrees Celsius.
- Convert to the Fahrenheit scale. Express your answer in degrees Fahrenheit.

2. The temperature at the tops of the clouds in the atmosphere of Saturn is about [tex]90 \, \text{K}[/tex].
- Convert to the Celsius scale. Express your answer in degrees Celsius.
- Convert to the Fahrenheit scale. Express your answer in degrees Fahrenheit.

3. The temperature at the center of the sun is about [tex]1.55 \times 10^7 \, \text{K}[/tex].
- Convert to the Celsius scale. Express your answer in degrees Celsius.
- Convert to the Fahrenheit scale. Express your answer in degrees Fahrenheit.

The moon's surface temperature of [tex]420 K[/tex] is approximately [tex]146.85 \°C[/tex] and [tex]296.33 \°F[/tex]. The temperature in Saturn's atmosphere of [tex]90 K[/tex] is about [tex]-183.15 \°C[/tex] and [tex]-297.67 \°F[/tex]. The sun's center temperature of [tex]1.55x10^7 K[/tex] is roughly [tex]1.54972785x10^7 \°C[/tex] and [tex]2.78950993x10^7 \°F[/tex].

To convert temperatures from Kelvin to Celsius, you subtract [tex]273.15[/tex] from the Kelvin value. To convert temperatures from Celsius to Fahrenheit, you use the formula [tex]F = (C x 9/5) + 32[/tex]. Here are the conversions for the given temperatures:

1. Moon surface temperature: [tex]420 K[/tex]
Celsius: [tex]420 K - 273.15[/tex] = [tex]146.85 \°C[/tex]
Fahrenheit: [tex](146.85 x 9/5) + 32[/tex] =[tex]296.33 \°F[/tex]

2. Saturn atmosphere temperature: [tex]90 K[/tex]
Celsius: [tex]90 K - 273.15[/tex] = [tex]-183.15 \°C[/tex]
Fahrenheit: [tex](-183.15 x 9/5) + 32[/tex] = [tex]-297.67 \°F[/tex]

3. Sun center temperature: [tex]1.55x10^7 K[/tex]
Celsius: [tex]1.55x10^7 K - 273.15[/tex] = [tex]1.55x10^7 - 273.15[/tex] = [tex]1.54972785x10^7 \°C[/tex]
Fahrenheit:[tex](1.54972785x10^7 x 9/5) + 32[/tex] = [tex]2.78950993x10^7 \°F[/tex]

Learn more about surface temperature here:

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NicolasCage NicolasCage · Answer 2 · 2023-12-18T17:36:15-05:00

Formulas:

[tex]^\circ C=K-273.15[/tex]
[tex]^\circ F=\frac{9}{5} (K-273.15)+32[/tex]

1. The Midday Temperature on the Moon

Temperature (in K)= 420K

Kelvin to Celsius:

The formula is °C = K - 273.15

For 420 K: °C = 420 - 273.15 = 146.85°C.

Kelvin to Fahrenheit:

The formula is °F = (K - 273.15) × 9/5 + 32

For 420 K: °F = (420 - 273.15) × 9/5 + 32 = 296.33°F.

2, The Temperature at the Tops of the Clouds on Saturn

Temperature (in K)= 90K
Kelvin to Celsius:

For 90 K: °C = 90 - 273.15 = -183.15°C.

Kelvin to Fahrenheit:

For 90 K: °F = (90 - 273.15) × 9/5 + 32 = -297.67°F.

3. The Temperature at the Center of the Sun

Temperature (in K)= 1.55 × 10⁷K
Kelvin to Celsius:

For 1.55×10⁷ K: °C = 1.55×10⁷- 273.15 ≈ 1.55×10⁷°C.

Kelvin to Fahrenheit:

For 1.55×10⁷ K: °F = (1.55×10⁷ - 273.15) × 9/5 + 32 ≈ 2.79×10⁷°F.