Q. 3.83 - An Introduction to General, Organic, and Biological Chemistry

Question

What is $-15°\mathrm{F}$ in degrees Celsius and in keivins? $(3.3)$

Step-by-Step Solution

Answer

$T_{\mathrm{C}}$Temperatures are measured in degrees Celsius, and$T_{\mathrm{F}}$ The temperature is in Fahrenheit degrees.

$T_{\mathrm{C}}$if the temperature is in degrees Celsius $T_{\mathrm{K}}$Kelvin is the unit of measurement for temperature.

Step 1: Converted to degree

The temperature has dropped.$-15°\mathrm{F}$This can be converted to degrees Celsius using the formula: For conversion, the temperature equation is employed as follows:

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

Here, $T_{\mathrm{C}}$ the temperature is in degrees Celsius, and $T_{\mathrm{F}}$The temperature is in degrees Fahrenheit. When the respective values in the above equation are substituted, we get:

$$\begin{gathered} T_{\mathrm{C}}=\frac{-15-32}{1.8} \\ =-26°\mathrm{C} \end{gathered}$$

The computed temperature is$-26°\mathrm{C}$

Step 2:

The temperature$-26°\mathrm{C}$is converted to Kelvin using the formula:

For conversion, the temperature equation is employed as follows:

$T_{\mathrm{K}}=T_{\mathrm{C}}+273$

Here, $T_{\mathrm{C}}$the temperature is in degrees Celsius, and$T_{\mathrm{K}}$Kelvin is the unit of measurement for temperature.

Substitute the following into the above equation:

$$\begin{gathered} T_{\mathrm{K}}=T_{\mathrm{C}}+273 \\ =-26+273 \\ =247 \mathrm{K} \end{gathered}$$

Thus, the temperature is $247 \mathrm{K}$