Q. 3.81 - An Introduction to General, Organic, and Biological Chemistry

Question

Calculate each of the following temperatures in degrees Celsius and kelvins: (3.3)

a. The highest recorded temperature in the continental United States was $134°\mathrm{F}$in Death Valley, California, on July 10, $1913$

b. The lowest recorded temperature in the continental United States was $-69.7°\mathrm{F}$ in Rodgers Pass, Montana, on January $20,1954$

Step-by-Step Solution

Answer

(Part a) The temperature is measured in degrees Celsius$56.7°\mathrm{C}$.

(Part b) The temperature is expressed in degrees Celsius $-56.7°\mathrm{C}$.

Step 1: Given information (Part a)

We have to find temperature in degree Celsius .

Step 2: Explanation (Part a)

The temperature is

$T=134°\mathrm{F}$

In this case, we must convert Fahrenheit to degrees Celsius.

$T_C=\frac{T_{\mathrm{F}}-32}{1.8}$

Substitute Fahrenheit's value$\left(134°\mathrm{F}\right)$ into the above equation

$$\begin{gathered} T_C=\frac{134-32}{1.8} \\ =\frac{102}{1.8} \\ =56.7°\mathrm{C} \end{gathered}$$

As a result, the temperature is expressed in degrees Celsius$56.7°\mathrm{C}$.

Comment

Step 3: Given information (Part b)

We have to find temperature degrees in celsius

Step 4: Explanation (Part b)

The temperature is

$T=-69.7°\mathrm{F}$

In this case, we must convert Fahrenheit to degrees Celsius.

$T_C=\frac{T_F-32}{1.8}$

Substitute the Fahrenheit value$\left(-69.7°\mathrm{F}\right)$ into the above equation.

$$\begin{gathered} T_C=\frac{-69.7-32}{1.8} \\ =\frac{-102}{1.8} \\ =-56.7°\mathrm{C} \end{gathered}$$

As a result, the temperature is expressed in degrees Celsius.$-56.7°\mathrm{C}$.