Q. 3.84 - An Introduction to General, Organic, and Biological Chemistry

Question

What is ${56}^{\circ }F$ in degrees Celsius and in kelvins?

Step-by-Step Solution

Answer

The value of ${56}^{\circ }F$ in Celsius is ${13}^{\circ }C$ and in Kelvin is $286 K$

Step1: Find the Temperature in Celsius.

The temperature is ${56}^{\circ }F$ and is converted into Celsius is as follows:

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

where,

$T_{\mathrm{C}}$ is Temperature in Celsius and $T_{\mathrm{F}}$ is Temperature in Fahrenheit.

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

$$\begin{gathered} =\frac{56-32}{1.8} \\ ={13}^{\circ }C \end{gathered}$$

Therefore, the temperature in Celsius is ${13}^{\circ }C$

Step2: Find the Temperature in Kelvin.

The temperature ${13}^{\circ }C$ is converted into Kelvin is as:

The equation is,

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

where,

$T_{\mathrm{K}}$ is temperature in Kelvin and $T_{\mathrm{C}}$ is temperature in Celsius.

Substitute the values,

$$\begin{gathered} T_{\mathrm{K}}=T_{\mathrm{C}}+273 \\ =13+273 \\ =386 K \end{gathered}$$

Therefore, the temperature in Kelvin is $286 K$