| 1B-5 : | Temperature Unit Conversions | 2 pts | |||||
| The temperature of a system drops by 27oF during a cooling process. Express this drop in temperature in K, oR, and oC. | |||||||
| Read : | The key to this problem is that we are considering a CHANGE in temperature and NOT a temperature of 27oC. | ||||||
| Given : | ΔT | 27 | oF | ||||
| Find : | ΔT | ??? | K | ||||
| ΔT | ??? | oR | |||||
| ΔT | ??? | oC | |||||
| Solution : | Start with Rankine. The temperature increments for the Fahrenheit and Rankine scales are the same. Therefore : | ||||||
| ΔT | 27 | 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. | |||||||
| Eqn 1 | |||||||
| ΔT | 15 | K | |||||
| Finally, the temperature increments for the Celsius and Kelvin scales are the same. | |||||||
| Therefore : | ΔT | 15 | oC | ||||
| Answers : | ΔT | 15 | K | ||||
| ΔT | 27 | oR | |||||
| ΔT | 15 | oC | |||||