Questions: Convert 301 K to °F.

Transcript text: Convert 301 K to ${ }^{\circ} \mathrm{F}$. $\square$

Solution

Step 1: Understand the Conversion Formula

To convert a temperature from Kelvin (K) to Fahrenheit (°F), we use the following formula:

\[ {}^{\circ} \mathrm{F} = \left( \frac{9}{5} \times (K - 273.15) \right) + 32 \]

Step 2: Substitute the Given Value

Substitute $ K = 301 $ into the formula:

\[ {}^{\circ} \mathrm{F} = \left( \frac{9}{5} \times (301 - 273.15) \right) + 32 \]

Step 3: Perform the Calculation

First, calculate the difference:

\[ 301 - 273.15 = 27.85 \]

Next, multiply by $\frac{9}{5}$:

\[ \frac{9}{5} \times 27.85 = 50.13 \]

Finally, add 32 to the result:

\[ 50.13 + 32 = 82.13 \]

The temperature in Fahrenheit is $\boxed{82.13 \, {}^{\circ} \mathrm{F}}$.

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