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 temperature value is the highest among the given options, we need to convert all temperatures to the same unit, preferably degrees Celsius (°C). Here’s a step-by-step solution:

### Step 1: Convert 420 K to °C
To convert Kelvin to Celsius, we use the formula:
\[ \text{°C} = \text{K} - 273 \]

For 420 K:
\[ 420 \, \text{K} - 273 = 147 \, \text{°C} \]

### Step 2: Identify the next temperature value
The next temperature value given is 130 °C, which is already in Celsius.

### Step 3: Convert 310 °F to °C
To convert Fahrenheit to Celsius, we use the formula:
\[ \text{°C} = (\text{°F} - 32) \times \frac{5}{9} \]

For 310 °F:
\[ \text{°C} = (310 - 32) \times \frac{5}{9} \]
\[ = 278 \times \frac{5}{9} \]
\[ = 154.4 \, \text{°C} \]

### Step 4: Compare all temperatures in °C
Now we have the following temperatures in degrees Celsius:
- 420 K = 147 °C
- 130 °C
- 310 °F = 154.4 °C

### Step 5: Determine the highest temperature
Now we can compare:
- 147 °C
- 130 °C
- 154.4 °C

The highest temperature among these values is **154.4 °C** (from 310 °F).

### Conclusion
The highest temperature value among the given options is **310 °F**, which is equivalent to **154.4 °C**.

---