Q5PE - College Physics (Urone)

Question

Question: The surface temperature of the Sun is about 5750 K. What is this temperature on the Fahrenheit scale?

Step-by-Step Solution

Answer

Answer

We get the temperature of the surface of the Sun in Fahrenheit as 9890⁰ F.

Step 1: Relation between Kelvin and Fahrenheit

Relations between the Kelvin scale and Fahrenheit scale are known. That is,

 $\mathit{T}\left({}^{\circ }F\right)\mathbf{=}\frac{\mathbf{9}}{\mathbf{5}}\left[T\left(K\right)-273.15\right]\mathbf{+}\mathbf{32}$

Step 2: Solution

The temperature in Kelvin is given by, 5750 K

Adding the value in the equation, we get,

 $$\begin{gathered} T(°F)=\frac{9}{5}(5750-273.15)+32 \\ T(°F)=\frac{9}{5}(5476.85)+32 \\ T(°F)=9858.33+32 \\ T(°F)=9890.33°F \\ T(°F)=9890°F \end{gathered}$$

The temperature in Fahrenheit is  9890⁰ F