The temperature difference of `1^(@)C` is same as a difference of

Options

A. 1 K
B. `1^(@)F`
C. 274 K
D. 272 K

Answer

To find out how the temperature difference of `1°C` is equivalent in Kelvin and Fahrenheit, we can follow these steps:

### Step 1: Understand the relationship between Celsius and Kelvin
The Kelvin scale is directly related to the Celsius scale. The difference in temperature in Celsius is equal to the difference in temperature in Kelvin.

### Step 2: Calculate the temperature difference in Kelvin
Given that the temperature difference is `1°C`, we can express this as:
\[ \Delta T_{C} = 1°C \]
Since the difference in temperature in Celsius is the same as in Kelvin:
\[ \Delta T_{K} = \Delta T_{C} = 1K \]

### Step 3: Understand the relationship between Celsius and Fahrenheit
The formula to convert Celsius to Fahrenheit is:
\[ F = \frac{9}{5}C + 32 \]
However, when calculating the difference in temperature, we need to use the change in Fahrenheit:
\[ \Delta T_{F} = \frac{9}{5} \Delta T_{C} \]

### Step 4: Calculate the temperature difference in Fahrenheit
Using the difference we have:
\[ \Delta T_{F} = \frac{9}{5} \times 1°C = \frac{9}{5} °F = 1.8°F \]

### Conclusion
The temperature difference of `1°C` is the same as a difference of:
- `1K` in Kelvin
- `1.8°F` in Fahrenheit

### Final Answer
1°C = 1K = 1.8°F

---