Question

The lowest and highest natural temperatures ever recorded on earth are -129°F in Antarctica and 134°F in Death Valley. What are these temperatures in °C and in K?

Short answer

a. In Antarctica, the temperature of $T_c$is $-89.{44}^{o}C$. In death valley, the temperature of $T_c=56.{66}^{o}C$

b. In Antarctica, the temperature of $T_k$is$183.65K$. In death valley, the temperature of$T_k$is$329.66K$.

Step-by-step solution

Equation of  temperature in Antarctica and death valley in celsius

It has been provided that the temperature of Antarctica is $-{129}^{o}F$and the death valley temperature is ${134}^{o}F$

In order to get the temperature of Antarctica in celsius

The equation of $T_c$is

localid="1648464348288" $T_c=\frac{5}{9}\left(T_F-32\right)$

Applying the value of $T_F$

localid="1648464384233" $$\begin{gathered} T_c=\frac{5}{9}\left(-129-32\right) \\ =-89.{44}^{o}C \end{gathered}$$

In order to get the temperature of death valley in celsius

The equation of $T_c$is

$T_c=\frac{5}{9}\left(T_F-32\right)$

Applying the value of $T_F$

$$\begin{gathered} T_c=\frac{5}{9}\left(134-32\right) \\ =-56.{66}^{o}C \end{gathered}$$

Equation of temperature in Antarctica and death valley in Kelvin  

In order to get the temperature of Antarctica in kelvin

The equation of kelvin with respect to celsius is

$T_K=T_c+273$

Applying the value of $T_c$

localid="1648464896644" $$\begin{gathered} T_K=T_c+273 \\ {T}_c=-89.{44}^{o}C \\ {T}_K=183.65K \end{gathered}$$

In order to get the temperature of death valley in kelvin

Applying the value of in above equation

$$\begin{gathered} T_K=T_c+273 \\ {T}_c=56.{66}^{o}C \\ {T}_K=329.66K \end{gathered}$$