Temperature Conversions

Upon studying this section, you should be familiar with the following:

• That there is a distinction between converting a temperature and a temperature range.
• How to convert temperatures and temperature ranges.

Explanation:

In this page, I just want to remind you that there is a difference between converting a specific temperature and converting a change in temperature (we will do this using the following example) as well as provide you with all the temperature conversion formulas you will need in chemical engineering.
Here are the conversion formulas:

Converting Temperature
InterrelationFormula
Celsius & FahrenheitT(°F) = 1.8 * T(°C) + 32
Kelvin & CelsiusT(°K) = T(°C) + 273.15
Kelvin & RankineT(°R) = 1.8 * T(°K)
Rankine & FahrenheitT(°R) = T(°F) + 459.67

Converting Temperature Changes
InterrelationFormula
Celsius & Fahrenheit ΔT(°F) = 1.8 * ΔT(°C)
Kelvin & Celsius ΔT(°K) = ΔT(°C)
Kelvin & Rankine ΔT(°K) = 1.8 * ΔT(°R)

Converting a temperature at 10°C and a change in 10°C to °F, as we now know, are not one in the same. The first corresponds to 50°F and the second corresponds to a change of 18°F. These conversions are illustrated below.

The temperature in the cooler is 10°C, how many °F is it?

use T(°F) = 1.8 * T(°C) + 32, so T(°F) = 1.8 * 10°C + 32 = 50°F

The temperature in the cooler increase 10°C, how many °F did it increase?

use ΔT(°F) = 1.8*ΔT(°C), so ΔT(°F) = 1.8 * 10°C = 18°F

Example:

Given temperatures 273K and 373K, calculate these two temperatures in degrees Celcius and degrees Fahrenheit, and the calculate the interval in degrees Celcius and degrees Fahrenheit.

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