At what temperature do the Kelvin and Celsius scales coincide?

Answer

To find the temperature at which the Kelvin and Celsius scales coincide, we can follow these steps:

### Step 1: Understand the relationship between Kelvin and Celsius
The relationship between the Celsius (C) and Kelvin (K) temperature scales is given by the formula:
\[ K = C + 273 \]
This means that to convert a temperature from Celsius to Kelvin, you add 273.

### Step 2: Set up the equation for coincidence
We need to find the temperature at which the values of Kelvin and Celsius are equal. This means:
\[ K = C \]
Substituting the relationship from Step 1 into this equation gives us:
\[ C = C + 273 \]

### Step 3: Simplify the equation
Now, we can simplify the equation:
\[ C = C + 273 \]
Subtracting C from both sides results in:
\[ 0 = 273 \]

### Step 4: Analyze the result
The equation \( 0 = 273 \) is clearly impossible. This indicates that there is no temperature at which the Kelvin and Celsius scales coincide.

### Conclusion
Therefore, we conclude that the Kelvin and Celsius scales never coincide at any temperature.

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