Question

Which temperature is the hottest, 200°C, 200°F or 200 Kelvin?

Justify your answer by providing supporting evidence and an explanation of your answer.

Answer 1

200°C is the hottest temperature when compared to 200°F and 200 Kelvin. 200°F equals approximately 93.33°C (366.48 K), and 200 Kelvin is much colder than both. Hence, 200°C is equivalent to 392°F, making it the highest temperature provided.

Step-by-step explanation:

To determine which temperature is the hottest between 200°C, 200°F, and 200 Kelvin, we need to understand the temperature scales and how to convert between them. One important fact is that the freezing point of water is 0°C or 32°F, which corresponds to 273.15 K, and the boiling point of water is 100°C or 212°F, which corresponds to 373.15 K.

By using temperature conversion formulas, we can convert 200°F to Celsius and Kelvin:

• To convert Fahrenheit to Celsius, use C = (F - 32) × 5/9. Therefore, 200°F is approximately 93.33°C.
• To convert Celsius to Kelvin, add 273.15. So 93.33°C is approximately 366.48 K.

When comparing the temperatures:

• 200°C is hotter than 200°F, as it would be equivalent to 392°F.
• 200 Kelvin is much colder than both 200°C and 200°F, as it is below the freezing point of water.

Therefore, 200°C is the hottest temperature among the three given options.

Answer 2

200 °C

Explanation:

Let’s convert all the temperatures to the same scale, say, Celsius.

Celsius

Water boils at 100 °C, so 200 °C is the temperature of superheated steam.

Fahrenheit

Water boils at 212 °F, so 200 °F is just below the boiling point of water.

`C = (5 )/( 9)(F-32)`

`C = (5 )/( 9)(200-32) = (5 )/( 9)*168 = 93 ^(\circ)\text{C}`

Kelvin

Standard temperature is 0 °C = 273.15 K. Ice melts at 273.15 K (0 °C), so

200 K is well below the melting point of ice.

C = K – 273.15

C = 200 -273.15 = -73 °C

Thus, 200 °C is the hottest temperature.