Avogadro, Gay-Lussac, Dalton, as well as the history of the brand new mole concept

To understand how molar mass and Avogadro’s number act as conversion factors, we can turn to an example using a popular drink: How many CO_dos molecules are in a standard bottle of carbonated soda? (Figure 3 shows what happens when the CO₂ in soda is quickly converted to a gaseous form.)

Like, Gay-Lussac noticed one dos quantities out of carbon monoxide gas responded which have 1 amount of oxygen to help you give 2 quantities of carbon

molecules in gaseous form. Here, the CO₂ is rapidly converted to a gaseous form when a certain candy is added, resulting in a dramatic reaction. image © Michael Murphy

Thanks to molar mass and Avogadro’s number, figuring this out doesn’t require counting each individual CO₂ molecule! Instead, we can start by determining the mass of CO₂ in this sample. In an experiment, a scientist compared the mass of a standard 16-ounce (454 milliliters) bottle of soda before it was opened, and then after it had been shaken and left open so that the CO₂ fizzed out of the liquid. The difference between the masses was 2.2 grams-the sample mass of CO₂ (for this example, we’re going to assume that all the CO₂ has fizzed out). Before we can calculate the number of CO₂ molecules in 2.2 grams, we first have to calculate the number of moles in 2.2 grams of CO₂ using molar mass as the conversion factor (see Equation 1 above):

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