Question: (a) In 1964, the temperature in the Siberian village of Oymyakon reached.$-71°C$.What temperature is this on the Fahrenheit scale?

(b) The highest officially recorded temperature in the continental United States was${134}^{°}F$in Death Valley, California. What is this temperature on the Celsius scale?

• a)The Celsius temperature,$T_c=-71°C$
• b) The Fahrenheit temperature,$$" width="9">TF=134°F

By using the relation between the Celsius and Fahrenheit scales, find the temperature on the Fahrenheit scale and the highest temperature on the Celsius scale.

Formula:

The Fahrenheit temperature scale relation to the Celsius temperature,

$T_F=\frac{9}{5}{T}_C+32$ ……(i)

The Celsius to Fahrenheit scale temperature conversion:

$T_C=\frac{5}{9}\times T_F-32$ …… (ii)

Here, the Celsius temperature scale is given as:$T_C=-71°C$ . Using the relation between Fahrenheit and Celsius from equation (i), get the temperature value as:
$$\begin{gathered} T_F=\frac{9}{5}\times (-71)+32 \\ =-95.8°F \end{gathered}$$

Hence, the temperature on the Fahrenheit scale is$-95.8°F$

Consider the Celsius temperature from the one given Fahrenheit temperature. From equation (ii) and using$T_F=134°F$, we get the temperature value as:
$$\begin{gathered} T_C=\frac{5}{9}\times 134-32 \\ =56.7°C \end{gathered}$$

Hence, the highest temperature on the Celsius scale is$56.7°C$