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The highest temperature ever recorded in Palm Desert, California, was 122 degrees F. Express this...

Question:

The highest temperature ever recorded in Palm Desert, California, was {eq}122 ^\circ F {/eq}. Express this temperature in degrees Kelvin.

Unit Conversion of Temperature:

Firstly, we'll convert the given value from degree Fahrenheit to degree Celcius using the formula shown below:

  • {eq}\displaystyle C=\frac{5}{9}(F-32) {/eq}

After that, we'll convert the obtained value of temperature from degree Celcius to kelvin using general relation.

  • {eq}K=C+273.15 {/eq}

Answer and Explanation:

The value of the temperature in degree Fahrenheit is:

{eq}T=122 ^\circ F {/eq}


Converting the above value in degree Celcius using the formula, we get:

{eq}\begin{align*} \displaystyle C&=\frac{5}{9}(122-32)\\ &=\frac{5}{9}(90)\\ &=5(10)\\ &=50^{\circ}C \end{align*} {/eq}


Adding {eq}273.15 {/eq} in the above value, we get:

{eq}\begin{align*} \displaystyle T&=50+273.15\ K\\ &=323.15\ K\\ \end{align*} {/eq}


Learn more about this topic:

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Common Unit Conversions

from Business 110: Business Math

Chapter 1 / Lesson 10
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