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A bottle of water at room temperature was placed in a refrigerator at 5 [°C]. Assuming that room temperature is 82 [°F], and that the bottle of water reaches thermal equilibrium with the refrigerator, find the temperature change of the water in [°C], [°F], [K], and [R].

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Answer:

The temperature change is 22.8ºC = 72.8ºF = 295.8K = 532.5R

Explanation:

The formulas used to convert the different temperatures are the following:

From ºF to ºC

[tex]C=(F-32)\frac{5}{9}[/tex]

From ºC to ºF

[tex]F=\frac{5}{9}xC +32[/tex]

From ºC to K

[tex]K=C+273.15[/tex]

From ºF to R

[tex]R=F+459.67[/tex]

The initial temperature of the water is 82ºF = 27.8ºC and the final temperature is 5ºC. Thus, the temperature change is the difference between these two temperatures:

27.8ºC - 5ºC = 22.8ºC

Converting in all units the results are:

22.8ºC = 72.8ºF = 295.8K = 532.5R

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