What is the value of temperature `76^@F` on the Kelvin scale?

Options

A. 24 K
B. 348 K
C. 297 K
D. 215 K

Answer

To convert the temperature from Fahrenheit to Kelvin, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the formula for conversion**:
The formula to convert Fahrenheit (°F) to Kelvin (K) is:
\[ K = \frac{5}{9} (°F - 32) + 273.15 \]

2. **Substitute the given temperature**:
We have \( °F = 76 \). Substitute this value into the formula:
\[ K = \frac{5}{9} (76 - 32) + 273.15 \]

3. **Calculate the difference**:
First, calculate \( 76 - 32 \):
\[ 76 - 32 = 44 \]

4. **Multiply by \(\frac{5}{9}\)**:
Now, multiply \( 44 \) by \( \frac{5}{9} \):
\[ \frac{5}{9} \times 44 \approx 24.44 \]

5. **Add 273.15**:
Finally, add \( 273.15 \) to the result from the previous step:
\[ 24.44 + 273.15 \approx 297.59 \]

6. **Round the result**:
The final value can be rounded to two decimal places, giving us:
\[ K \approx 297.59 \]

### Final Answer:
The value of temperature \( 76°F \) on the Kelvin scale is approximately \( 297.59 K \).