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Q5PE

Expert-verifiedFound in: Page 470

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 ${9890}{\xb0}{\mathrm{F}}$ .

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

**${\mathbf{T}}{\left(\xb0F\right)}{\mathbf{=}}\frac{\mathbf{9}}{\mathbf{5}}{\left[T\left(K\right)-273.15\right]}{\mathbf{+}}{\mathbf{32}}$**

The temperature in Kelvin is given by, 5750 K

Adding the value in the equation, we get,

${\mathbf{T}}{\left(\xb0F\right)}{\mathbf{=}}\frac{\mathbf{9}}{\mathbf{5}}{\left(5750-273.15\right)}{\mathbf{+}}{\mathbf{32}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}{\left(\xb0F\right)}{\mathbf{=}}\frac{\mathbf{9}}{\mathbf{5}}{\left(5476.85\right)}{\mathbf{+}}{\mathbf{32}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}{\left(\xb0F\right)}{\mathbf{=}}{\mathbf{9858}}{\mathbf{.}}{\mathbf{33}}{\mathbf{+}}{\mathbf{32}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}{\left(\xb0F\right)}{\mathbf{=}}{\mathbf{9890}}{\mathbf{.}}{\mathbf{33}}{\mathbf{\xb0}}{\mathbf{F}}\phantom{\rule{0ex}{0ex}}{\mathbf{T}}{\left(\xb0F\right)}{\mathbf{=}}{\mathbf{9890}}{\mathbf{\xb0}}{\mathbf{F}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

The temperature in Fahrenheit is ${\mathbf{9890}}{\mathbf{\xb0}}{\mathit{F}}$

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