Out of the given values of temperature, which one is the highest?

Options

A. 420 K
B. `130^circ`C
C. `310^circ`F`
D. 310 K

Answer

To determine which of the given temperature values is the highest, we need to convert all temperatures to the same unit. We'll convert Celsius and Fahrenheit to Kelvin since two of the values are already in Kelvin.

### Step-by-Step Solution:

1. **Identify the Given Values**:
- 420 Kelvin
- 130 degrees Celsius
- 310 degrees Fahrenheit
- 310 Kelvin

2. **Convert Celsius to Kelvin**:
- The formula to convert Celsius to Kelvin is:
\[ K = C + 273.15 \]
- For 130 degrees Celsius:
\[ K = 130 + 273.15 = 403.15 \text{ Kelvin} \]

3. **Convert Fahrenheit to Kelvin**:
- The formula to convert Fahrenheit to Kelvin is:
\[ K = \left( F - 32 \right) \times \frac{5}{9} + 273.15 \]
- For 310 degrees Fahrenheit:
\[ K = \left( 310 - 32 \right) \times \frac{5}{9} + 273.15 \]
- Calculate:
\[ K = 278 \times \frac{5}{9} + 273.15 \]
\[ K = 154.44 + 273.15 = 427.59 \text{ Kelvin} \]

4. **List All Converted Values**:
- 420 Kelvin
- 403.15 Kelvin (from 130 degrees Celsius)
- 427.59 Kelvin (from 310 degrees Fahrenheit)
- 310 Kelvin

5. **Determine the Highest Value**:
- Compare all converted values:
- 420 Kelvin
- 403.15 Kelvin
- 427.59 Kelvin
- 310 Kelvin
- The highest value is **427.59 Kelvin**.

6. **Identify the Corresponding Original Value**:
- The highest value of 427.59 Kelvin corresponds to **310 degrees Fahrenheit**.

### Conclusion:
The highest temperature among the given values is **310 degrees Fahrenheit**.

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