Question

which three temperature readings all mean the same thing?
373 kelvin, 100 degrees celsius, 212 degrees fahrenheit
273 kelvin, 100 degrees celsius, 212 degrees fahrenheit
100 kelvin, 0 degrees celsius, 32 degrees fahrenheit
273 kelvin, 0 degrees celsius, 212 degrees fahrenheit

Explanation:

Step1: Recall temperature conversion formulas

The conversion between Celsius (\(^\circ C\)) and Kelvin (\(K\)) is \(K = ^\circ C + 273.15\) (we can use 273 for approximation). The conversion between Celsius and Fahrenheit (\(^\circ F\)) is \(^\circ F=\frac{9}{5}^\circ C + 32\).

Step2: Analyze Option 1: 373 K, 100 \(^\circ\)C, 212 \(^\circ\)F

• Convert 100 \(^\circ\)C to K: \(100 + 273 = 373\) K (matches 373 K).
• Convert 100 \(^\circ\)C to \(^\circ\)F: \(\frac{9}{5}\times100 + 32=180 + 32 = 212\) \(^\circ\)F (matches 212 \(^\circ\)F).

Step3: Analyze Option 2: 273 K, 100 \(^\circ\)C, 212 \(^\circ\)F

• Convert 100 \(^\circ\)C to K: \(100 + 273 = 373\) K \(

eq\) 273 K. So this option is wrong.

Step4: Analyze Option 3: 100 K, 0 \(^\circ\)C, 32 \(^\circ\)F

• Convert 0 \(^\circ\)C to K: \(0 + 273 = 273\) K \(

eq\) 100 K. So this option is wrong.

Step5: Analyze Option 4: 273 K, 0 \(^\circ\)C, 212 \(^\circ\)F

• Convert 0 \(^\circ\)C to \(^\circ\)F: \(\frac{9}{5}\times0+32 = 32\) \(^\circ\)F \(

eq\) 212 \(^\circ\)F. So this option is wrong.

Answer:

373 Kelvin, 100 degrees Celsius, 212 degrees Fahrenheit