Question

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?

Short answer

• a)The temperature on the Fahrenheit scale is$-95.8°F$
• b) The temperature on the Celsius scale is$56.7°C$

Step-by-step solution

The given data

• a)The Celsius temperature,$T_C=-71°C$
• b) The Fahrenheit temperature,$T_F=134°C$

Determine the concept of temperature scale conversion  

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,

$T_C=\frac{9}{5}{T}_C+32$ ……(i)

The Celsius to Fahrenheit scale temperature conversion:

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

a) Calculate the Fahrenheit temperature

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:
$T_F=\frac{9}{5}\times (-71)+32$
Hence, the temperature on the Fahrenheit scale is$-95.8°F$

b)  Determine the celsius temperature

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$56.7°C$