Question

1. the temperature of the moon during its day is 396 k. what is that in celsius? in fahrenheit?

Explanation:

Step1: Convert Kelvin to Celsius

The formula to convert Kelvin ($K$) to Celsius ($C$) is $C = K - 273.15$.
Given $K = 396$, so $C=396 - 273.15$.

Step2: Calculate the Celsius value

$C = 396-273.15=122.85^{\circ}C$.

Step3: Convert Celsius to Fahrenheit

The formula to convert Celsius ($C$) to Fahrenheit ($F$) is $F=\frac{9}{5}C + 32$.
Substitute $C = 122.85$ into the formula: $F=\frac{9}{5}\times122.85+32$.
First, calculate $\frac{9}{5}\times122.85 = 9\times24.57=221.13$.
Then, $F=221.13 + 32$.

Step4: Calculate the Fahrenheit value

$F=221.13+32 = 253.13^{\circ}F$.

Answer:

The temperature of the moon during its day is $122.85^{\circ}C$ and $253.13^{\circ}F$.