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 Celsius and Kelvin
The relationship between the Celsius (C) and Kelvin (K) 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 the two scales equal to each other
To find the temperature at which the two scales coincide, we set \( K \) equal to \( C \):
\[ K = C \]

### Step 3: Substitute the relationship into the equation
Using the relationship from Step 1, we can substitute \( K \) in the equation:
\[ C + 273 = C \]

### Step 4: Simplify the equation
Now, we can simplify the equation:
- Subtract \( C \) from both sides:
\[ 273 = 0 \]

### Step 5: Analyze the result
The equation \( 273 = 0 \) is clearly impossible. This indicates that there is no temperature at which the Kelvin and Celsius scales coincide.

### Conclusion
Therefore, the conclusion is that the Kelvin and Celsius scales never coincide.

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