Determine coefficient of performance of given temperature limit.
`T_(1) = 27^(@)C` [outside fridge]
`T_(2) = - 23 ^(@)C` [inside fridge]

Options

A. 4
B. 5
C. 6
D. 7

Explanation

To determine the coefficient of performance (COP) of a refrigerator given the temperature limits, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Temperatures to Kelvin**:
- The temperature outside the fridge, \( T_1 \), is given as \( 27^\circ C \).
- To convert this to Kelvin:
\[ T_1 = 27 + 273 = 300 \, K \]
- The temperature inside the fridge, \( T_2 \), is given as \( -23^\circ C \).
- To convert this to Kelvin:
\[ T_2 = -23 + 273 = 250 \, K \]

2. **Use the Formula for Coefficient of Performance (COP)**:
- The formula for the coefficient of performance of a refrigerator is given by:
\[ COP = \frac{T_2}{T_1 - T_2} \]
- Substituting the values we calculated:
\[ COP = \frac{250}{300 - 250} \]

3. **Calculate the Denominator**:
- Calculate \( 300 - 250 \):
\[ 300 - 250 = 50 \]

4. **Calculate COP**:
- Now substitute back into the COP formula:
\[ COP = \frac{250}{50} = 5 \]

5. **Final Answer**:
- The coefficient of performance (COP) is \( 5 \).