# Convert the following Kelvin temperatures to the Celsius and Fahrenheit scales.

# (a) The midday temperature at the surface of the moon (400 K)

# (b) The temperature at the tops of the clouds in the atmosphere of Saturn(95 K)

Kelvin, Celcius, and Fahrenheit are three different units to measure temperature. Every unit can be converted to another unit with the help of a conversion formula.

## Answer: Kelvin temperatures converted to the Celsius and Fahrenheit scales are as follows:

## a) The midday temperature at the surface of the moon (400 K) = 126.85ºC = 260.33ºF

## b) The temperature at the tops of the clouds in the atmosphere of Saturn (95 K) = -178.15ºC = -288.67ºF

Let's understand the conversion of these temperature units using conversion formulae.

**Explanation:**

To convert Kelvin to Celcius we will use the following relation:

C = K − 273.15

To convert Celcius to Fahrenheit we will use the relation shown below:

F = (9/5) C + 32

Where,

K = temperature in Kelvin

C = temperature in Celcius

F = temperature in Fahrenheit

Let's solve the following using the above relationships,

a) Given: 400 K

Kelvin to Celcius: C = K −273.15

C = 400 - 273.15 = 126.85º C

Celcius to Fahrenheit: F = (9/5) C + 32

F = (9/5) (126.85) + 32 = 260.33º F

Thus, 400 K = 126.85º C = 260.33º F

b) Given: 95 K

Kelvin to Celcius: C = K − 273.15

C = 95 - 273.15 = -178.15 ºC

Celcius to Fahrenheit: F = (9/5) C + 32

F = (9/5) (-178.15) + 32 = -288.67º F

Thus, 95 K = -178.15º C = -288.67º F