A difference of temperature of `25^(@)C` is equivalent to a difference of

Options

A. `45^(@)F`
B. `72^(@)F`
C. `32^(@)F`
D. `25^(@)F`

Explanation

To solve the problem of converting a temperature difference of 25°C to its equivalent in Fahrenheit, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between Celsius and Fahrenheit temperature differences**:
The formula to convert a temperature difference from Celsius to Fahrenheit is given by:
\[ \Delta T_F = \frac{9}{5} \Delta T_C \]
where \(\Delta T_F\) is the temperature difference in Fahrenheit and \(\Delta T_C\) is the temperature difference in Celsius.

2. **Identify the given temperature difference**:
In this case, the temperature difference given is:
\[ \Delta T_C = 25^\circ C \]

3. **Substitute the value into the conversion formula**:
Now, we can substitute the value of \(\Delta T_C\) into the formula:
\[ \Delta T_F = \frac{9}{5} \times 25 \]

4. **Calculate the multiplication**:
First, calculate \( \frac{9}{5} \times 25 \):
\[ \Delta T_F = \frac{9 \times 25}{5} \]
Simplifying this gives:
\[ \Delta T_F = \frac{225}{5} = 45 \]

5. **State the final answer**:
Therefore, a temperature difference of \(25^\circ C\) is equivalent to a temperature difference of:
\[ 45^\circ F \]

### Final Answer:
A difference of temperature of \(25^\circ C\) is equivalent to a difference of \(45^\circ F\).

---