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### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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

We get the temperature of the surface of the Sun in Fahrenheit as ${9890}{°}{\mathrm{F}}$ .

See the step by step solution

## Step 1: Relation between Kelvin and Fahrenheit

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

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

## Step 2: Solution

The temperature in Kelvin is given by, 5750 K

Adding the value in the equation, we get,

${\mathbf{T}}\left(°F\right){\mathbf{=}}\frac{\mathbf{9}}{\mathbf{5}}\left(5750-273.15\right){\mathbf{+}}{\mathbf{32}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}\left(°F\right){\mathbf{=}}\frac{\mathbf{9}}{\mathbf{5}}\left(5476.85\right){\mathbf{+}}{\mathbf{32}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}\left(°F\right){\mathbf{=}}{\mathbf{9858}}{\mathbf{.}}{\mathbf{33}}{\mathbf{+}}{\mathbf{32}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}\left(°F\right){\mathbf{=}}{\mathbf{9890}}{\mathbf{.}}{\mathbf{33}}{\mathbf{°}}{\mathbf{F}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}\left(°F\right){\mathbf{=}}{\mathbf{9890}}{\mathbf{°}}{\mathbf{F}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

The temperature in Fahrenheit is ${\mathbf{9890}}{\mathbf{°}}{\mathbit{F}}$