233 K is equal to

Options

A. `40^@F`
B. `-40^@F`
C. `172^@F`
D. `-172^@F`

Answer

To convert 233 Kelvin to degrees Fahrenheit, we can use the formula that relates temperature in Kelvin (TK) to temperature in degrees Fahrenheit (TF):

\[ TF = \frac{9}{5} \times (TK - 273) + 32 \]

### Step-by-Step Solution:

1. **Identify the given value**:
We have \( TK = 233 \, K \).

2. **Substitute the value into the formula**:
\[ TF = \frac{9}{5} \times (233 - 273) + 32 \]

3. **Calculate \( 233 - 273 \)**:
\[ 233 - 273 = -40 \]

4. **Substitute the result back into the equation**:
\[ TF = \frac{9}{5} \times (-40) + 32 \]

5. **Calculate \( \frac{9}{5} \times (-40) \)**:
\[ \frac{9 \times -40}{5} = \frac{-360}{5} = -72 \]

6. **Add 32 to the result**:
\[ TF = -72 + 32 = -40 \]

7. **Final result**:
Therefore, \( 233 \, K \) is equal to \( -40 \, °F \).

### Final Answer:
233 K is equal to -40 °F.

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