What is the temperature in Kelvin?

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What is the temperature in Celsius if the air temperature is 83°F? What is the temperature in Kelvin?

Final Answer:
The temperature of 83°F converts to approximately 28.33°C and 301.48 K. This is achieved using the formulas for converting between Fahrenheit, Celsius, and Kelvin. Understanding these conversions is useful in many scientific contexts.

Explanation:
To convert the air temperature from Fahrenheit to Celsius and Kelvin, we will use the following formulas:

Conversion from Fahrenheit to Celsius:

T\left({ }^{\circ} C\right)=\frac{5}{9}\left(T\left({ }^{\circ} F\right)-32\right)

Conversion from Celsius to Kelvin:

T(K)=T(°C)+273.15

Step 1: Converting 83°F to Celsius

We substitute 83 for T(°F) in the formula:

T\left({ }^{\circ} C\right)=\frac{5}{9}(83-32) T\left({ }^{\circ} C\right)=\frac{5}{9}(51)

T(°C)≈28.33°C

Step 2: Converting Celsius to Kelvin

Now we use the conversion from Celsius to Kelvin:

T(K)=28.33+273.15

T(K)≈301.48K

Therefore, the air temperature of 83°F is approximately 28.33°C and 301.48 K.

Examples & Evidence:

For example, if you wanted to convert 68°F to Celsius and Kelvin, you would calculate:

T\left({ }^{\circ} \mathrm{C}\right)=\frac{5}{9}(68-32) \approx 20^{\circ} \mathrm{C}

and then
T(K)=20+273.15≈293.15K
The conversion equations and methodologies used are standard in temperature measurement, commonly found in physics and chemistry textbooks.

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