Q. 3.82 - An Introduction to General, Organic, and Biological Chemistry

Question

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

a. The highest recorded temperature in the world was $58.0{}^{\circ }\mathrm{C}$in El Azizia, Libya, on September 13, 1922.

b. The lowest recorded temperature in the world was$-89.2{}^{\circ }\mathrm{C}$in Vostok, Antarctica, on July 21, 1983.

Step-by-Step Solution

Answer

The most extreme temperature$58.0°\mathrm{C}$Replace the temperature in Fahrenheit with the temperature in Celsius.

The lowest temperature must be converted.$-89.2{}^{\circ }\mathrm{C}$Substitute the temperature in Celsius for Fahrenheit.

Step 1: Given information (Part a)

The equation that are given are : a.

We have to find convert to highest temperature in celsius

Step 2: Explanation (Part a)

In order to convert the highest temperature$58.0°\mathrm{C}$In the following temperature equation, replace the temperature in Celsius with the temperature in Fahrenheit.

$$\begin{gathered} T_F=1.8\left(T_C\right)+32 \\ =1.8(58.0)+32 \\ =104.4+32 \\ =136.4^0 \mathrm{F} \end{gathered}$$

The equation connects Kelvin to Celsius temperature.

$$\begin{gathered} T_{\mathrm{K}}={\mathrm{T}}_{\mathrm{c}}+273 \\ =58.0+273 \\ =331 \mathrm{K} \end{gathered}$$

Step 3: Given information (Part b)

The equation that are given are : b.

We have to convert lowest temperature in celsius

Step 4: Explanation (Part b)

In order to convert the lowest temperature$-89.2{}^{\circ }\mathrm{C}$In the following temperature equation, replace the temperature in Celsius with the temperature in Fahrenheit.

$$\begin{gathered} T_F=1.8\left(T_C\right)+32 \\ =1.8(-89.2)+32 \\ =-160.6+32 \\ =-192.6^0 \mathrm{F} \end{gathered}$$

The equation connects Kelvin to Celsius temperature.

$$\begin{gathered} T_{\mathrm{K}}={\mathrm{T}}_{\mathrm{C}}+273 \\ =-89.2+273 \\ =183.8 \mathrm{K} \end{gathered}$$