Question

question 14
three thermometers are in the same water bath. after thermal equilibrium is established, it is found that the celsius thermometer reads 0 °c, the fahrenheit thermometer reads 12 °f, and the kelvin thermometer reads 273 k. which one of the following statements is the most reasonable conclusion?
the three thermometers are at different temperatures.
the celsius thermometer is incorrect.
the fahrenheit thermometer is incorrect.
all three thermometers are incorrect.
the kelvin thermometer is incorrect.

Explanation:

Step1: Recall temperature conversion formulas

The conversion between Celsius (\(^\circ C\)) and Fahrenheit (\(^\circ F\)) is \(^\circ F=\frac{9}{5}^\circ C + 32\), and between Celsius and Kelvin (K) is \(K = ^\circ C+ 273.15\).

Step2: Convert \(0^\circ C\) to Fahrenheit

Using the formula \(^\circ F=\frac{9}{5}(0)+ 32=32^\circ F\). But the Fahrenheit thermometer reads \(12^\circ F\), which is not equal to \(32^\circ F\).

Step3: Convert \(0^\circ C\) to Kelvin

Using \(K = 0 + 273.15\approx273K\) (the given Kelvin reading is \(273K\), which is close considering possible rounding). So the Celsius and Kelvin thermometers are consistent, but the Fahrenheit one is not.

Answer:

The Fahrenheit thermometer is incorrect.