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 finding the equivalent difference in temperature in Fahrenheit for a difference of 25°C, we can follow these steps:

### Step 1: Understand the relationship between Celsius and Fahrenheit
The relationship between Celsius (C) and Fahrenheit (F) is given by the formula:
\[ F = \frac{9}{5}C + 32 \]
However, since we are interested in the difference in temperatures rather than the absolute values, we can use the formula for the difference:
\[ \Delta F = \frac{9}{5} \Delta C \]

### Step 2: Substitute the given temperature difference
We know that the difference in Celsius, \(\Delta C\), is 25°C. We can substitute this value into the formula:
\[ \Delta F = \frac{9}{5} \times 25 \]

### Step 3: Calculate the difference in Fahrenheit
Now we perform the multiplication:
\[ \Delta F = \frac{9 \times 25}{5} \]
\[ \Delta F = \frac{225}{5} \]
\[ \Delta F = 45 \]

### Step 4: State the final answer
Thus, the difference of 25°C is equivalent to a 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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