A different 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 Fahrenheit, we can follow these steps:

### Step 1: Understand the relationship between Celsius and Fahrenheit
The formula to convert a temperature in Celsius (C) to Fahrenheit (F) is given by:
\[ F = \frac{9}{5}C + 32 \]

However, since we are dealing with a temperature difference (ΔC and ΔF), we can simplify the conversion. The change in temperature in Fahrenheit (ΔF) corresponding to a change in temperature in Celsius (ΔC) can be expressed as:
\[ \Delta F = \frac{9}{5} \Delta C \]

### Step 2: Substitute the given temperature difference
We are given a temperature difference of:
\[ \Delta C = 25°C \]

Now, we can substitute this value into the equation we derived in Step 1:
\[ \Delta F = \frac{9}{5} \times 25 \]

### Step 3: Calculate ΔF
Now, we perform the calculation:
\[ \Delta F = \frac{9 \times 25}{5} \]
\[ \Delta F = \frac{225}{5} \]
\[ \Delta F = 45°F \]

### Conclusion
Thus, a temperature difference of 25°C is equivalent to a temperature difference of 45°F.

### Final Answer
The difference of temperature of 25°C is equivalent to a difference of 45°F.

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