1E-6 : | Temperature Change & Unit Conversions | 2 pts |
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The temperature of a cup of water drops by 44oF when it is placed in a refrigerator for 45 minutes. How much did the temperature of the water change in K, oR and in oC. | ||||||||||||
Read: | The key to this problem is that we are considering a CHANGE in temperature and NOT a temperature of 27oC. | |||||||||||
Given: | DT | -44 | oF | |||||||||
Find: | DT | ??? | K | DT | ??? | oC | ||||||
DT | ??? | oR | ||||||||||
Assumptions: | None. | |||||||||||
Equations / Data / Solve: | ||||||||||||
Start with Rankine. The temperature increments for the Fahrenheit and Rankine scales are the same. Therefore : | ||||||||||||
DT | -44 | oR | ||||||||||
Next, let's work on getting DT in the Kelvin scale. | ||||||||||||
This is straightforward because a temperature change of 1 K is equal to a temperature change of 1.8 oR. | ||||||||||||
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Eqn 1 | |||||||||||
DT | -24.444 | K | ||||||||||
Finally, the temperature increments for the Celsius and Kelvin scales are the same. | ||||||||||||
Therefore : | DT | -24.444 | oC | |||||||||
Answers: | DT | -24.4 | K | |||||||||
DT | -44 | oR | ||||||||||
DT | -24.4 | oC |